The GeoXp PackageOctober 23 2006

Type Package

Title Interactive exploratory spatial data analysis

Version 10

Date 2006-10-20

Author Christine Thomas-Agnan Yves Aragon Anne Ruiz-Gazen Thibault Laurent LaurianneRobidou

Maintainer Christine Thomas-Agnan ltcthomascictfrgt

Depends R (gt= 221) tcltk maptools fields splancs KernSmooth stats

Description GeoXp is a tool for researchers in spatial statistics spatial econometrics geographyecology etc allowing to link dynamically statistical plots with elementary maps This couplingconsists in the fact that the selection of a zone on the map results in the automatic highlighting ofthe corresponding points on the statistical graph or reversely the selection of a portion of thegraph results in the automatic highlighting of the corresponding points on the map GeoXpincludes tools from different areas of spatial statistics including geostatistics as well as spatialeconometrics and point processes Besides elementary plots like boxplots histograms or simplescatterplos GeoXp also couples with maps Moran scatterplots variogram cloud LorentzCurvesIn order to make the most of the multidimensionality of the data GeoXp includes somedimension reduction techniques such as PCA

License GPL Version 2 or later

URL httpw3univ-tlse1frGREMAQStatistiqueSP_etheme3pdf

R topics documentedGeoXp-package 2afcon 4angleplotmap 5auckpolys 7auckland 8baltimore 9barmap 10boston 12boxplotmap 13carte 15

1

2 GeoXp-package

clustermap 17dbledensitymap 20dblehistomap 22densitymap 24distchi2 27driftmap 28eire 29eirepolys 30findneighbors 31genpca 32gini 34ginimap 35graphique 37histobarmap 39histomap 41makedistanceW 43makeneighborsw 44map2list 45meuseall 46meuseriv 48moranplotmap 48neighbourmap 51nonormmoran 53normw 54oldcol 55oldcolpolys 56pcamap 57polyboxplotmap 60polylist2list 62rotation 63scattermap 64selectgraph 66selectmap 67selectstat 68slider1 69slider2 70spdf2list 71variocloudmap 72

Index 75

GeoXp-package Interactive exploratory spatial data analysis

Description

GeoXp is a tool for researchers in spatial statistics spatial econometrics geography ecology etcallowing to link dynamically statistical plots with elementary maps This coupling consists in thefact that the selection of a zone on the map results in the automatic highlighting of the correspondingpoints on the statistical graph or reversely the selection of a portion of the graph results in theautomatic highlighting of the corresponding points on the map GeoXp includes tools from differentareas of spatial statistics including geostatistics as well as spatial econometrics and point processes

GeoXp-package 3

Besides elementary plots like boxplots histograms or simple scatterplos GeoXp also couples withmaps Moran scatterplots variogram cloud Lorentz Curves In order to make the most of themultidimensionality of the data GeoXp includes some dimension reduction techniques such asPCA

Details

Package GeoXpType PackageVersion 10Date 2006-10-20License GPL Vesion 2 or later

GeoXp donrsquot use classes yet The coordinates of sites are represented by two vectors long (forx minus axis) and lat (for y minus axis) of size n of numeric values Attribute value is designed by ar-gument var of size n and can be a vector of numeric values (function histomap densitymap)or a factor (function barmap) Some functions use both a vector of numeric values and a factor(function histobarmap polyboxplotmap) Few functions as pcamap and clustermap use a matrixof numeric variablesContrary to spdep package (Roger Bivand) a site cannot be represented by latticearea style How-ever user can represent a spatial polygonal contour as background map with option carte A spatialpolygonal contour is a matrix of numeric values with 2 columns (x and y coordinates of the ver-tices of the polygons) where polygons are seperated from each other by 3 rows of NaN We includein GeoXp 3 functions (polylist2list spdf2list and map2list) which convert some spatial objects(lsquoPolylistrsquo lsquoSpatialPolygonDataFramersquo and lsquoMaprsquo object) into matrix as decribed above to draw abackground mapAmong options which are common to each function users have the possibility to give a criteriavector of boolean of size n with TRUE on specific sites These sites are then represented by a croiceon the map by clicking on lsquonon intercative selectionrsquo buttonMoreover users have the possibility to make bubbles and add some graphs (histogram barplot orscattermap) giving both a matrix of variables listvar of size n times p and a list of character of sizep for variable names Users can choose a proportional symbol mapping in function plot we givevalue var05 to argument cex User can choose if a legend has to appear on the map He couldchoose then three values represented by bubbles of corresponding sizesFinally users can choose to represent sites on map with different colors (choosed by default and notmodifiable by users) in the case of a graph using a factor (argument color with 1 for different col-ors 0 otherwise) Users could choose if a legend with corresponding colors will appear on the mapUsers can also modify the representation of sites on map (choosed by default and not modifiable byusers) with argument symbol (with 1 for different symbols 0 otherwise)

Author(s)

Christine Thomas-Agnan Yves Aragon Anne Ruiz-Gazen Thibault Laurent Laurianne Robidou

Maintainer Christine Thomas-Agnan ltcthomascictfrgt

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

4 afcon

afcon Spatial patterns of conflict in Africa 1966-78

Description

The afcon data frame has 42 rows and 5 columns for 42 African countries exclusing then SouthWest Africa and Spanish Equatorial Africa and Spanish Sahara The dataset is used in Anselin(1995) and downloaded from before adaptation

Usage

data(afcon)

Format

A data frame with 42 observations on the following 5 variables

x an easting in decimal degrees (taken as centroiumld of shapefile polygon)

y a northing in decimal degrees (taken as centroiumld of shapefile polygon)

totcon index of total conflict 1966-78

name country name

id country id number as in paper

Details

This data provides from spdep package

Note

This data file prepared by Luc Anselin Spatial Analysis Laboratory Department of Agriculture andConsumer Economics University of Illinois Urbana-Champaign

Source

Anselin L and John OrsquoLoughlin (1992) ldquoGeography of international conflict and cooperationspatial dependence and regional context in Africardquo In The New Geopolitics ed M Ward pp39-75

Anselin L (1995) ldquoLocal indicators of spatial associationrdquo In Geographical Analysis 27 Table1 p103

Examples

data(afcon)

angleplotmap 5

angleplotmap Detection of an eventual directional trend

Description

The function lsquoangleplotmaprsquo is used to detect an eventual directional trend associated to variablevar It represents the absolute difference between the value of var at two sites as a function of theangle between vector minusminusrarrsisj and the x-axis

Usage

angleplotmap(long lat var quantiles = NULLlistvar = NULL listnomvar = NULLcriteria = NULL carte = NULL label = symbol = 0 labvar = lablong = lablat = axis = FALSE)

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

quantiles list of values of quantile orders (the regression quantile is obtained by splinesmoothing)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of var

6 angleplotmap

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

axis a boolean with TRUE for drawing axes on the map

Details

For each couple of sites (si sj) the graphic represents on the y-axis the absolute difference betweenvari and varj

Dij = |vari minus varj |and on the x-axis the angle θij between the vector minusminusrarrsisj and the x-axis Possibility to represent asmoothing spline regression quantile gα For 0 lt α lt 1

Pr[Dij lt gα(θij)] = α

If that case only the pair of sites (si sj) verifying

Dij gt gmax(α)(θij)

are represented

Value

A matrix of boolean of size ntimes n TRUE if pair of sites was in the last selection

Author(s)

Thomas-Agnan Christine Aragon Yves Ruiz-Gazen Anne Laurent Thibault Robidou Laurianne

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

variocloudmapdriftmap

Examples

Data afcondata(afcon)obslt-angleplotmap(afcon$xafcon$yafcon$totconlistvar=afconlistnomvar=names(afcon)label=afcon$namecriteria=(afcon$totcongtmean(afcon$totcon))symbol=1)

Data Meusedata(meuseall)data(meuseriv)obslt-angleplotmap(meuseall$xmeuseall$ymeuseall$copperlablong=Xlablat=Yquantiles=c(0105095)listvar=meusealllistnomvar=names(meuseall)labvar=Concentration en plomb (en ppm))points(meuseriv type = l asp = 1)

auckpolys 7

auckpolys Spatial polygonal contours of auckland dataset

Description

A lsquopolylistrsquo object for drawing spatial polygonal contours of auckland dataset

Usage

data(auckpolys)

Format

The format is a list of polygons of class polylist

Details

This object is used in the lsquospdeprsquo package created by Roger Bivand In the lsquoGeoXprsquo packagewe donrsquot use lsquopolylistrsquo lsquoSpatialPolygonDataFramersquo or rsquoMaprsquo object because a site can only berepresented by a pair of coordinates and not by a polygonnal contour However users have the pos-sibility to repesent spatial polygonal contours as a backgroud map Thatrsquos why we created functionslsquospdf2listrsquo lsquopolylist2listrsquo and lsquomap2listrsquo for extracting from a spatial object only the vertices of thepolygons

Source

Marshall R M (1991) Mapping disease and mortality rates using Empirical Bayes Estimators Ap-plied Statistics 40 283-294

Bailey T Gatrell A (1995) Interactive Spatial Data Analysis Harlow Longman - INFOMAP dataset used with permission

References

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

Examples

data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)

GeoXp-package 3

Besides elementary plots like boxplots histograms or simple scatterplos GeoXp also couples withmaps Moran scatterplots variogram cloud Lorentz Curves In order to make the most of themultidimensionality of the data GeoXp includes some dimension reduction techniques such asPCA

Details

Package GeoXpType PackageVersion 10Date 2006-10-20License GPL Vesion 2 or later

GeoXp donrsquot use classes yet The coordinates of sites are represented by two vectors long (forx minus axis) and lat (for y minus axis) of size n of numeric values Attribute value is designed by ar-gument var of size n and can be a vector of numeric values (function histomap densitymap)or a factor (function barmap) Some functions use both a vector of numeric values and a factor(function histobarmap polyboxplotmap) Few functions as pcamap and clustermap use a matrixof numeric variablesContrary to spdep package (Roger Bivand) a site cannot be represented by latticearea style How-ever user can represent a spatial polygonal contour as background map with option carte A spatialpolygonal contour is a matrix of numeric values with 2 columns (x and y coordinates of the ver-tices of the polygons) where polygons are seperated from each other by 3 rows of NaN We includein GeoXp 3 functions (polylist2list spdf2list and map2list) which convert some spatial objects(lsquoPolylistrsquo lsquoSpatialPolygonDataFramersquo and lsquoMaprsquo object) into matrix as decribed above to draw abackground mapAmong options which are common to each function users have the possibility to give a criteriavector of boolean of size n with TRUE on specific sites These sites are then represented by a croiceon the map by clicking on lsquonon intercative selectionrsquo buttonMoreover users have the possibility to make bubbles and add some graphs (histogram barplot orscattermap) giving both a matrix of variables listvar of size n times p and a list of character of sizep for variable names Users can choose a proportional symbol mapping in function plot we givevalue var05 to argument cex User can choose if a legend has to appear on the map He couldchoose then three values represented by bubbles of corresponding sizesFinally users can choose to represent sites on map with different colors (choosed by default and notmodifiable by users) in the case of a graph using a factor (argument color with 1 for different col-ors 0 otherwise) Users could choose if a legend with corresponding colors will appear on the mapUsers can also modify the representation of sites on map (choosed by default and not modifiable byusers) with argument symbol (with 1 for different symbols 0 otherwise)

Author(s)

Christine Thomas-Agnan Yves Aragon Anne Ruiz-Gazen Thibault Laurent Laurianne Robidou

Maintainer Christine Thomas-Agnan ltcthomascictfrgt

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

4 afcon

afcon Spatial patterns of conflict in Africa 1966-78

Description

The afcon data frame has 42 rows and 5 columns for 42 African countries exclusing then SouthWest Africa and Spanish Equatorial Africa and Spanish Sahara The dataset is used in Anselin(1995) and downloaded from before adaptation

Usage

data(afcon)

Format

A data frame with 42 observations on the following 5 variables

x an easting in decimal degrees (taken as centroiumld of shapefile polygon)

y a northing in decimal degrees (taken as centroiumld of shapefile polygon)

totcon index of total conflict 1966-78

name country name

id country id number as in paper

Details

This data provides from spdep package

Note

This data file prepared by Luc Anselin Spatial Analysis Laboratory Department of Agriculture andConsumer Economics University of Illinois Urbana-Champaign

Source

Anselin L and John OrsquoLoughlin (1992) ldquoGeography of international conflict and cooperationspatial dependence and regional context in Africardquo In The New Geopolitics ed M Ward pp39-75

Anselin L (1995) ldquoLocal indicators of spatial associationrdquo In Geographical Analysis 27 Table1 p103

Examples

data(afcon)

angleplotmap 5

angleplotmap Detection of an eventual directional trend

Description

The function lsquoangleplotmaprsquo is used to detect an eventual directional trend associated to variablevar It represents the absolute difference between the value of var at two sites as a function of theangle between vector minusminusrarrsisj and the x-axis

Usage

angleplotmap(long lat var quantiles = NULLlistvar = NULL listnomvar = NULLcriteria = NULL carte = NULL label = symbol = 0 labvar = lablong = lablat = axis = FALSE)

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

quantiles list of values of quantile orders (the regression quantile is obtained by splinesmoothing)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of var

6 angleplotmap

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

axis a boolean with TRUE for drawing axes on the map

Details

For each couple of sites (si sj) the graphic represents on the y-axis the absolute difference betweenvari and varj

Dij = |vari minus varj |and on the x-axis the angle θij between the vector minusminusrarrsisj and the x-axis Possibility to represent asmoothing spline regression quantile gα For 0 lt α lt 1

Pr[Dij lt gα(θij)] = α

If that case only the pair of sites (si sj) verifying

Dij gt gmax(α)(θij)

are represented

Value

A matrix of boolean of size ntimes n TRUE if pair of sites was in the last selection

Author(s)

Thomas-Agnan Christine Aragon Yves Ruiz-Gazen Anne Laurent Thibault Robidou Laurianne

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

variocloudmapdriftmap

Examples

Data afcondata(afcon)obslt-angleplotmap(afcon$xafcon$yafcon$totconlistvar=afconlistnomvar=names(afcon)label=afcon$namecriteria=(afcon$totcongtmean(afcon$totcon))symbol=1)

Data Meusedata(meuseall)data(meuseriv)obslt-angleplotmap(meuseall$xmeuseall$ymeuseall$copperlablong=Xlablat=Yquantiles=c(0105095)listvar=meusealllistnomvar=names(meuseall)labvar=Concentration en plomb (en ppm))points(meuseriv type = l asp = 1)

auckpolys 7

auckpolys Spatial polygonal contours of auckland dataset

Description

A lsquopolylistrsquo object for drawing spatial polygonal contours of auckland dataset

Usage

data(auckpolys)

Format

The format is a list of polygons of class polylist

Details

This object is used in the lsquospdeprsquo package created by Roger Bivand In the lsquoGeoXprsquo packagewe donrsquot use lsquopolylistrsquo lsquoSpatialPolygonDataFramersquo or rsquoMaprsquo object because a site can only berepresented by a pair of coordinates and not by a polygonnal contour However users have the pos-sibility to repesent spatial polygonal contours as a backgroud map Thatrsquos why we created functionslsquospdf2listrsquo lsquopolylist2listrsquo and lsquomap2listrsquo for extracting from a spatial object only the vertices of thepolygons

Source

Marshall R M (1991) Mapping disease and mortality rates using Empirical Bayes Estimators Ap-plied Statistics 40 283-294

Bailey T Gatrell A (1995) Interactive Spatial Data Analysis Harlow Longman - INFOMAP dataset used with permission

References

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

Examples

data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)

4 afcon

afcon Spatial patterns of conflict in Africa 1966-78

Description

The afcon data frame has 42 rows and 5 columns for 42 African countries exclusing then SouthWest Africa and Spanish Equatorial Africa and Spanish Sahara The dataset is used in Anselin(1995) and downloaded from before adaptation

Usage

data(afcon)

Format

A data frame with 42 observations on the following 5 variables

x an easting in decimal degrees (taken as centroiumld of shapefile polygon)

y a northing in decimal degrees (taken as centroiumld of shapefile polygon)

totcon index of total conflict 1966-78

name country name

id country id number as in paper

Details

This data provides from spdep package

Note

This data file prepared by Luc Anselin Spatial Analysis Laboratory Department of Agriculture andConsumer Economics University of Illinois Urbana-Champaign

Source

Anselin L and John OrsquoLoughlin (1992) ldquoGeography of international conflict and cooperationspatial dependence and regional context in Africardquo In The New Geopolitics ed M Ward pp39-75

Anselin L (1995) ldquoLocal indicators of spatial associationrdquo In Geographical Analysis 27 Table1 p103

Examples

data(afcon)

angleplotmap 5

angleplotmap Detection of an eventual directional trend

Description

The function lsquoangleplotmaprsquo is used to detect an eventual directional trend associated to variablevar It represents the absolute difference between the value of var at two sites as a function of theangle between vector minusminusrarrsisj and the x-axis

Usage

angleplotmap(long lat var quantiles = NULLlistvar = NULL listnomvar = NULLcriteria = NULL carte = NULL label = symbol = 0 labvar = lablong = lablat = axis = FALSE)

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

quantiles list of values of quantile orders (the regression quantile is obtained by splinesmoothing)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of var

6 angleplotmap

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

axis a boolean with TRUE for drawing axes on the map

Details

For each couple of sites (si sj) the graphic represents on the y-axis the absolute difference betweenvari and varj

Dij = |vari minus varj |and on the x-axis the angle θij between the vector minusminusrarrsisj and the x-axis Possibility to represent asmoothing spline regression quantile gα For 0 lt α lt 1

Pr[Dij lt gα(θij)] = α

If that case only the pair of sites (si sj) verifying

Dij gt gmax(α)(θij)

are represented

Value

A matrix of boolean of size ntimes n TRUE if pair of sites was in the last selection

Author(s)

Thomas-Agnan Christine Aragon Yves Ruiz-Gazen Anne Laurent Thibault Robidou Laurianne

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

variocloudmapdriftmap

Examples

Data afcondata(afcon)obslt-angleplotmap(afcon$xafcon$yafcon$totconlistvar=afconlistnomvar=names(afcon)label=afcon$namecriteria=(afcon$totcongtmean(afcon$totcon))symbol=1)

Data Meusedata(meuseall)data(meuseriv)obslt-angleplotmap(meuseall$xmeuseall$ymeuseall$copperlablong=Xlablat=Yquantiles=c(0105095)listvar=meusealllistnomvar=names(meuseall)labvar=Concentration en plomb (en ppm))points(meuseriv type = l asp = 1)

auckpolys 7

auckpolys Spatial polygonal contours of auckland dataset

Description

A lsquopolylistrsquo object for drawing spatial polygonal contours of auckland dataset

Usage

data(auckpolys)

Format

The format is a list of polygons of class polylist

Details

This object is used in the lsquospdeprsquo package created by Roger Bivand In the lsquoGeoXprsquo packagewe donrsquot use lsquopolylistrsquo lsquoSpatialPolygonDataFramersquo or rsquoMaprsquo object because a site can only berepresented by a pair of coordinates and not by a polygonnal contour However users have the pos-sibility to repesent spatial polygonal contours as a backgroud map Thatrsquos why we created functionslsquospdf2listrsquo lsquopolylist2listrsquo and lsquomap2listrsquo for extracting from a spatial object only the vertices of thepolygons

Source

Marshall R M (1991) Mapping disease and mortality rates using Empirical Bayes Estimators Ap-plied Statistics 40 283-294

Bailey T Gatrell A (1995) Interactive Spatial Data Analysis Harlow Longman - INFOMAP dataset used with permission

References

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

Examples

data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)

angleplotmap 5

angleplotmap Detection of an eventual directional trend

Description

The function lsquoangleplotmaprsquo is used to detect an eventual directional trend associated to variablevar It represents the absolute difference between the value of var at two sites as a function of theangle between vector minusminusrarrsisj and the x-axis

Usage

angleplotmap(long lat var quantiles = NULLlistvar = NULL listnomvar = NULLcriteria = NULL carte = NULL label = symbol = 0 labvar = lablong = lablat = axis = FALSE)

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

quantiles list of values of quantile orders (the regression quantile is obtained by splinesmoothing)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of var

6 angleplotmap

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

axis a boolean with TRUE for drawing axes on the map

Details

For each couple of sites (si sj) the graphic represents on the y-axis the absolute difference betweenvari and varj

Dij = |vari minus varj |and on the x-axis the angle θij between the vector minusminusrarrsisj and the x-axis Possibility to represent asmoothing spline regression quantile gα For 0 lt α lt 1

Pr[Dij lt gα(θij)] = α

If that case only the pair of sites (si sj) verifying

Dij gt gmax(α)(θij)

are represented

Value

A matrix of boolean of size ntimes n TRUE if pair of sites was in the last selection

Author(s)

Thomas-Agnan Christine Aragon Yves Ruiz-Gazen Anne Laurent Thibault Robidou Laurianne

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

variocloudmapdriftmap

Examples

Data afcondata(afcon)obslt-angleplotmap(afcon$xafcon$yafcon$totconlistvar=afconlistnomvar=names(afcon)label=afcon$namecriteria=(afcon$totcongtmean(afcon$totcon))symbol=1)

Data Meusedata(meuseall)data(meuseriv)obslt-angleplotmap(meuseall$xmeuseall$ymeuseall$copperlablong=Xlablat=Yquantiles=c(0105095)listvar=meusealllistnomvar=names(meuseall)labvar=Concentration en plomb (en ppm))points(meuseriv type = l asp = 1)

auckpolys 7

auckpolys Spatial polygonal contours of auckland dataset

Description

A lsquopolylistrsquo object for drawing spatial polygonal contours of auckland dataset

Usage

data(auckpolys)

Format

The format is a list of polygons of class polylist

Details

This object is used in the lsquospdeprsquo package created by Roger Bivand In the lsquoGeoXprsquo packagewe donrsquot use lsquopolylistrsquo lsquoSpatialPolygonDataFramersquo or rsquoMaprsquo object because a site can only berepresented by a pair of coordinates and not by a polygonnal contour However users have the pos-sibility to repesent spatial polygonal contours as a backgroud map Thatrsquos why we created functionslsquospdf2listrsquo lsquopolylist2listrsquo and lsquomap2listrsquo for extracting from a spatial object only the vertices of thepolygons

Source

Marshall R M (1991) Mapping disease and mortality rates using Empirical Bayes Estimators Ap-plied Statistics 40 283-294

Bailey T Gatrell A (1995) Interactive Spatial Data Analysis Harlow Longman - INFOMAP dataset used with permission

References

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

Examples

data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)

6 angleplotmap

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

axis a boolean with TRUE for drawing axes on the map

Details

For each couple of sites (si sj) the graphic represents on the y-axis the absolute difference betweenvari and varj

Dij = |vari minus varj |and on the x-axis the angle θij between the vector minusminusrarrsisj and the x-axis Possibility to represent asmoothing spline regression quantile gα For 0 lt α lt 1

Pr[Dij lt gα(θij)] = α

If that case only the pair of sites (si sj) verifying

Dij gt gmax(α)(θij)

are represented

Value

A matrix of boolean of size ntimes n TRUE if pair of sites was in the last selection

Author(s)

Thomas-Agnan Christine Aragon Yves Ruiz-Gazen Anne Laurent Thibault Robidou Laurianne

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

variocloudmapdriftmap

Examples

Data afcondata(afcon)obslt-angleplotmap(afcon$xafcon$yafcon$totconlistvar=afconlistnomvar=names(afcon)label=afcon$namecriteria=(afcon$totcongtmean(afcon$totcon))symbol=1)

Data Meusedata(meuseall)data(meuseriv)obslt-angleplotmap(meuseall$xmeuseall$ymeuseall$copperlablong=Xlablat=Yquantiles=c(0105095)listvar=meusealllistnomvar=names(meuseall)labvar=Concentration en plomb (en ppm))points(meuseriv type = l asp = 1)

auckpolys 7

auckpolys Spatial polygonal contours of auckland dataset

Description

A lsquopolylistrsquo object for drawing spatial polygonal contours of auckland dataset

Usage

data(auckpolys)

Format

The format is a list of polygons of class polylist

Details

This object is used in the lsquospdeprsquo package created by Roger Bivand In the lsquoGeoXprsquo packagewe donrsquot use lsquopolylistrsquo lsquoSpatialPolygonDataFramersquo or rsquoMaprsquo object because a site can only berepresented by a pair of coordinates and not by a polygonnal contour However users have the pos-sibility to repesent spatial polygonal contours as a backgroud map Thatrsquos why we created functionslsquospdf2listrsquo lsquopolylist2listrsquo and lsquomap2listrsquo for extracting from a spatial object only the vertices of thepolygons

Source

Marshall R M (1991) Mapping disease and mortality rates using Empirical Bayes Estimators Ap-plied Statistics 40 283-294

Bailey T Gatrell A (1995) Interactive Spatial Data Analysis Harlow Longman - INFOMAP dataset used with permission

References

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

Examples

data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)

auckpolys 7

auckpolys Spatial polygonal contours of auckland dataset

Description

A lsquopolylistrsquo object for drawing spatial polygonal contours of auckland dataset

Usage

data(auckpolys)

Format

The format is a list of polygons of class polylist

Details

This object is used in the lsquospdeprsquo package created by Roger Bivand In the lsquoGeoXprsquo packagewe donrsquot use lsquopolylistrsquo lsquoSpatialPolygonDataFramersquo or rsquoMaprsquo object because a site can only berepresented by a pair of coordinates and not by a polygonnal contour However users have the pos-sibility to repesent spatial polygonal contours as a backgroud map Thatrsquos why we created functionslsquospdf2listrsquo lsquopolylist2listrsquo and lsquomap2listrsquo for extracting from a spatial object only the vertices of thepolygons

Source

Marshall R M (1991) Mapping disease and mortality rates using Empirical Bayes Estimators Ap-plied Statistics 40 283-294

Bailey T Gatrell A (1995) Interactive Spatial Data Analysis Harlow Longman - INFOMAP dataset used with permission

References

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

Examples

data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)

8 auckland

auckland Marshallrsquos infant mortality in Auckland dataset

Description

The Auckland data frame has 167 rows (census area units - CAU) and 4 columns

Usage

data(auckland)

Format

A data frame with 167 observations on the following 4 variables

Easting a numeric vector of x coordinates in an unknown spatial reference system

Northing a numeric vector of y coordinates in an unknown spatial reference system

Deaths197785 a numeric vector of counts of infant (under 5 years of age) deaths in Auckland1977-1985

Under51981 a numeric vector of population under 5 years of age at the 1981 Census

Details

This data provides from spdep package

Source

Bailey T Gatrell A (1995) Interactive Spatial Data Analysis Harlow Longman - INFOMAP dataset used with permission

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

Marshall R M (1991) Mapping disease and mortality rates using Empirical Bayes Estimators Ap-plied Statistics 40 283-294

Examples

data(auckland)

baltimore 9

baltimore House sales prices Baltimore MD 1978

Description

House sales price and characteristics for a spatial hedonic regression Baltimore MD 1978

Usage

data(baltimore)

Format

A data frame with 211 observations on the following 17 variables

STATION StationPRICE PriceNROOM Number of roomsDWELL Presence of well (0 or 1)NBATH Number of bathsPATIO Presence of patio (0 or 1)FIREPL Presence of fire stationAC ACBMENT BMENTNSTOR NSTORGAR Number of garagesAGE AgeCITCOU CITCOULOTSZ LOTSZSQFT SQFTX a vector x of size n

Y a vector y of size n

Details

This data provides from spdep package

Source

Prepared by Luc Anselin Original data made available by Rodin Dubin Weatherhead School ofManagement Case Western Research University Cleveland OH

References

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

Dubin Robin A (1992) Spatial autocorrelation and neighbourhood quality Regional Scienceand Urban Economics 22(3) 433-452

10 barmap

Examples

data(baltimore)

barmap Interactive Bar plot and map

Description

The function lsquobarmaprsquo draws a bar plot (vertical bar) of the given factor variable var and a mapwith sites of coordinates (long lat)

Usage

barmap(long lat var listvar = NULL listnomvar = NULLcriteria = NULL carte = NULL label = color = 1symbol = 0 labvar = labmod = axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of factor of size n

listvar matrix of variables fo size ntimes p for optional additional graph and bubbles

listnomvar list of character of size p with name of variables from listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with name of each site

color 0 or 1 choice of representation of selected points If 0 sites are represented inblue if 1 sites are represented with different colors for each factor

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

barmap 11

labvar name of variable var

labmod names of factors of var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

The selection of a bar on the bar plot results in the corresponding sites coloured on the map with thecorresponding colour observed on the bar Reversely the selection of sites on the map by lsquopointsrsquoor lsquopolygonrsquo results in the drawing of the sub-barplot in red

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

histomap histobarmap scattermap densitymap

Examples

data oldcoldata(oldcol)data(oldcolpolys)oldcolcontourslt-polylist2list(oldcolpolys)barmap(oldcol$X oldcol$Y oldcol$NSA listvar=oldcolcarte=oldcolcontourslistnomvar=names(oldcol)criteria=(oldcol$CP==1)axis=TRUElablong=Xlablat=Y)

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)barmap(eire$V1eire$V2eire$palecarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Appartenance agravela reacutegion du Palelabmod=c(Hors PalePale))

12 boston

boston Corrected Boston Housing Data

Description

The boston data frame has 506 rows and 20 columns It contains the Harrison and Rubinfeld(1978) data corrected for a few minor errors and augmented with the latitude and longitude of theobservations Gilley and Pace also point out that MEDEV is censored in that median values at orover USD 50000 are set to USD 50000

Usage

data(boston)

Format

A data frame with 506 observations on the following 22 variables

x a vector x of size n

y a vector y of size n

TOWN a factor with levels given by town names

TOWNNO a numeric vector corresponding to town

TRACT a numeric vector of tract ID numbers

LON a numeric vector of tract point longitudes in decimal degrees

LAT a numeric vector of tract point latitudes in decimal degrees

MEDV a numeric vector of median values of owner-occupied housing in USD 1000

CMEDV a numeric vector corrected median values of owner-occupied housing in USD 1000

CRIM a numeric vector of per capita crime

ZN a numeric vector of proportions of residential land zoned for lots over 25000 sq ft per town(constant for all Boston tracts)

INDUS a numeric vector of proportions of non-retail business acres per town (constant for allBoston tracts)

CHAS a factor with levels 1 if tract borders Charles River 0 otherwise

NOX a numeric vector of nitric oxides concentration (parts per 10 million) per town

RM a numeric vector of average numbers of rooms per dwelling

AGE a numeric vector of proportions of owner-occupied units built prior to 1940

DIS a numeric vector of weighted distances to five Boston employment centres

RAD a numeric vector of an index of accessibility to radial highways per town (constant for allBoston tracts)

TAX a numeric vector full-value proprty-tax rate per USD 10000 per town (constant for all Bostontracts)

PTRATIO a numeric vector of pupil-teacher ratios per town (constant for all Boston tracts)

B a numeric vector of 1000 lowast (Bk minus 063)2 where Bk is the proportion of blacks

LSTAT a numeric vector of percentage values of lower status population

boxplotmap 13

Details

This data provides from spdep package

References

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

Harrison David and Daniel L Rubinfeld ldquoHedonic Housing Prices and the Demand for CleanAirrdquo Journal of Environmental Economics and Management Volume 5 (1978) 81-102 Originaldata

Gilley OW and R Kelley Pace ldquoOn the Harrison and Rubinfeld Datardquo Journal of EnvironmentalEconomics and Management 31 (1996) 403-405 Provided corrections and examined censoring

Pace R Kelley and OW Gilley ldquoUsing the Spatial Configuration of the Data to Improve Estima-tionrdquo Journal of the Real Estate Finance and Economics 14 (1997) 333-340

Examples

data(boston)

boxplotmap Interactive boxplot and map

Description

The function lsquoboxplotmaprsquo draws a boxplot of the given variable var and a map with site of coor-dinates (long lat)

Usage

boxplotmap(long lat var listvar = NULL listnomvar = NULLcarte = NULL criteria = NULL label = symbol = 0color = 1 labvar = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numerical values of size n

listvar matrix of variables fo size ntimes p for optional additional graph and bubbles

barmap 11

labvar name of variable var

labmod names of factors of var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

The selection of a bar on the bar plot results in the corresponding sites coloured on the map with thecorresponding colour observed on the bar Reversely the selection of sites on the map by lsquopointsrsquoor lsquopolygonrsquo results in the drawing of the sub-barplot in red

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

histomap histobarmap scattermap densitymap

Examples

data oldcoldata(oldcol)data(oldcolpolys)oldcolcontourslt-polylist2list(oldcolpolys)barmap(oldcol$X oldcol$Y oldcol$NSA listvar=oldcolcarte=oldcolcontourslistnomvar=names(oldcol)criteria=(oldcol$CP==1)axis=TRUElablong=Xlablat=Y)

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)barmap(eire$V1eire$V2eire$palecarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Appartenance agravela reacutegion du Palelabmod=c(Hors PalePale))

12 boston

boston Corrected Boston Housing Data

Description

The boston data frame has 506 rows and 20 columns It contains the Harrison and Rubinfeld(1978) data corrected for a few minor errors and augmented with the latitude and longitude of theobservations Gilley and Pace also point out that MEDEV is censored in that median values at orover USD 50000 are set to USD 50000

Usage

data(boston)

Format

A data frame with 506 observations on the following 22 variables

x a vector x of size n

y a vector y of size n

TOWN a factor with levels given by town names

TOWNNO a numeric vector corresponding to town

TRACT a numeric vector of tract ID numbers

LON a numeric vector of tract point longitudes in decimal degrees

LAT a numeric vector of tract point latitudes in decimal degrees

MEDV a numeric vector of median values of owner-occupied housing in USD 1000

CMEDV a numeric vector corrected median values of owner-occupied housing in USD 1000

CRIM a numeric vector of per capita crime

ZN a numeric vector of proportions of residential land zoned for lots over 25000 sq ft per town(constant for all Boston tracts)

INDUS a numeric vector of proportions of non-retail business acres per town (constant for allBoston tracts)

CHAS a factor with levels 1 if tract borders Charles River 0 otherwise

NOX a numeric vector of nitric oxides concentration (parts per 10 million) per town

RM a numeric vector of average numbers of rooms per dwelling

AGE a numeric vector of proportions of owner-occupied units built prior to 1940

DIS a numeric vector of weighted distances to five Boston employment centres

RAD a numeric vector of an index of accessibility to radial highways per town (constant for allBoston tracts)

TAX a numeric vector full-value proprty-tax rate per USD 10000 per town (constant for all Bostontracts)

PTRATIO a numeric vector of pupil-teacher ratios per town (constant for all Boston tracts)

B a numeric vector of 1000 lowast (Bk minus 063)2 where Bk is the proportion of blacks

LSTAT a numeric vector of percentage values of lower status population

boxplotmap 13

Details

This data provides from spdep package

References

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

Harrison David and Daniel L Rubinfeld ldquoHedonic Housing Prices and the Demand for CleanAirrdquo Journal of Environmental Economics and Management Volume 5 (1978) 81-102 Originaldata

Gilley OW and R Kelley Pace ldquoOn the Harrison and Rubinfeld Datardquo Journal of EnvironmentalEconomics and Management 31 (1996) 403-405 Provided corrections and examined censoring

Pace R Kelley and OW Gilley ldquoUsing the Spatial Configuration of the Data to Improve Estima-tionrdquo Journal of the Real Estate Finance and Economics 14 (1997) 333-340

Examples

data(boston)

boxplotmap Interactive boxplot and map

Description

The function lsquoboxplotmaprsquo draws a boxplot of the given variable var and a map with site of coor-dinates (long lat)

Usage

boxplotmap(long lat var listvar = NULL listnomvar = NULLcarte = NULL criteria = NULL label = symbol = 0color = 1 labvar = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numerical values of size n

listvar matrix of variables fo size ntimes p for optional additional graph and bubbles

12 boston

boston Corrected Boston Housing Data

Description

The boston data frame has 506 rows and 20 columns It contains the Harrison and Rubinfeld(1978) data corrected for a few minor errors and augmented with the latitude and longitude of theobservations Gilley and Pace also point out that MEDEV is censored in that median values at orover USD 50000 are set to USD 50000

Usage

data(boston)

Format

A data frame with 506 observations on the following 22 variables

x a vector x of size n

y a vector y of size n

TOWN a factor with levels given by town names

TOWNNO a numeric vector corresponding to town

TRACT a numeric vector of tract ID numbers

LON a numeric vector of tract point longitudes in decimal degrees

LAT a numeric vector of tract point latitudes in decimal degrees

MEDV a numeric vector of median values of owner-occupied housing in USD 1000

CMEDV a numeric vector corrected median values of owner-occupied housing in USD 1000

CRIM a numeric vector of per capita crime

ZN a numeric vector of proportions of residential land zoned for lots over 25000 sq ft per town(constant for all Boston tracts)

INDUS a numeric vector of proportions of non-retail business acres per town (constant for allBoston tracts)

CHAS a factor with levels 1 if tract borders Charles River 0 otherwise

NOX a numeric vector of nitric oxides concentration (parts per 10 million) per town

RM a numeric vector of average numbers of rooms per dwelling

AGE a numeric vector of proportions of owner-occupied units built prior to 1940

DIS a numeric vector of weighted distances to five Boston employment centres

RAD a numeric vector of an index of accessibility to radial highways per town (constant for allBoston tracts)

TAX a numeric vector full-value proprty-tax rate per USD 10000 per town (constant for all Bostontracts)

PTRATIO a numeric vector of pupil-teacher ratios per town (constant for all Boston tracts)

B a numeric vector of 1000 lowast (Bk minus 063)2 where Bk is the proportion of blacks

LSTAT a numeric vector of percentage values of lower status population

boxplotmap 13

Details

This data provides from spdep package

References

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

Harrison David and Daniel L Rubinfeld ldquoHedonic Housing Prices and the Demand for CleanAirrdquo Journal of Environmental Economics and Management Volume 5 (1978) 81-102 Originaldata

Gilley OW and R Kelley Pace ldquoOn the Harrison and Rubinfeld Datardquo Journal of EnvironmentalEconomics and Management 31 (1996) 403-405 Provided corrections and examined censoring

Pace R Kelley and OW Gilley ldquoUsing the Spatial Configuration of the Data to Improve Estima-tionrdquo Journal of the Real Estate Finance and Economics 14 (1997) 333-340

Examples

data(boston)

boxplotmap Interactive boxplot and map

Description

The function lsquoboxplotmaprsquo draws a boxplot of the given variable var and a map with site of coor-dinates (long lat)

Usage

boxplotmap(long lat var listvar = NULL listnomvar = NULLcarte = NULL criteria = NULL label = symbol = 0color = 1 labvar = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numerical values of size n

listvar matrix of variables fo size ntimes p for optional additional graph and bubbles

boxplotmap 13

Details

This data provides from spdep package

References

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

Harrison David and Daniel L Rubinfeld ldquoHedonic Housing Prices and the Demand for CleanAirrdquo Journal of Environmental Economics and Management Volume 5 (1978) 81-102 Originaldata

Gilley OW and R Kelley Pace ldquoOn the Harrison and Rubinfeld Datardquo Journal of EnvironmentalEconomics and Management 31 (1996) 403-405 Provided corrections and examined censoring

Pace R Kelley and OW Gilley ldquoUsing the Spatial Configuration of the Data to Improve Estima-tionrdquo Journal of the Real Estate Finance and Economics 14 (1997) 333-340

Examples

data(boston)

boxplotmap Interactive boxplot and map

Description

The function lsquoboxplotmaprsquo draws a boxplot of the given variable var and a map with site of coor-dinates (long lat)

Usage

boxplotmap(long lat var listvar = NULL listnomvar = NULLcarte = NULL criteria = NULL label = symbol = 0color = 1 labvar = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numerical values of size n

listvar matrix of variables fo size ntimes p for optional additional graph and bubbles

14 boxplotmap

listnomvar list of character of size p with names of variables from listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of each site

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

There is an interactivity only in one direction the sites selected by interquartile on the boxplot arerepresented on the map in red

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

histomap histobarmap scattermap densitymap

carte 15

Examples

donnees oldcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)boxplotmap(oldcol$X oldcol$Yoldcol$CRIMElistvar=oldcolcarte=contoursOLD listnomvar=names(oldcol)criteria=(oldcol$CP==1)axis=TRUElablong=Xlablat=Y)

donnees bostondata(boston)boxplotmap(boston$xboston$yboston$CRIMlistvar=bostonlistnomvar=names(boston)criteria=(boston$CHAS==1))

donneacutees eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)boxplotmap(eire$V1eire$V2eire$POPCHGlistvar=eirelistnomvar=names(eire)carte=eirecontourslabvar=Taux deacutevolution de la population de 1921 agrave1962)

carte Drawing a map

Description

The function lsquocartersquo draws a map with sites of coordinates (long lat) and represents sites whichhave been selected (obs) in red if symbol=0 or with star if symbol=1 This function is called bymost of the functions of GeoXp (this is not an interactive function)

Usage

carte(long lat obscriteria=NULLbuble=FALSEcbuble=NULLnointer=FALSE carte=NULLnocart=FALSE label=symbol=0col=0 lablong= lablat= method= W=NULL couleurs=classe obsqlegmap=NULLlegends=list(FALSEFALSE)labmod=axis=FALSE)

Arguments

long a vector x of size n

lat a vector y of size n

obs a boolean vector of size n with TRUE on selected sites

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

16 carte

buble a boolean with TRUE for drawing bubbles FALSE otherwise

cbuble vector of size n with size of each site depending on variable with which bubblesare constructed

nointer a boolean with TRUE for drawing sites selected by criteria FALSE otherwise

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

nocart a boolean with TRUE for drawing spatial contours FALSE otherwise

label vector of character of size n with name of each site

col 0 or 1 choice of representation of selected points If 0 sites are represented inblue if 1 sites are represented with different colors for each factor

symbol 0 or 1 choice of representation of selected points If 0 selected points are inred if 1 selected points are stars

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

method Specification for some graphics such as lsquoNeighbourplot1rsquo lsquoNeighbourplot2rsquolsquoClusterrsquo lsquoAngleplotrsquo lsquoVariocloudrsquo

W neighbourhood matrix of size ntimes n necessary when method=lsquoNeighbourplotrsquo

couleurs Possibility to change colors (only for admin)

classe vector of n whith class necessary when method=lsquoClusterrsquo

obsq vector of size n with number of quadrant to which the site belongs necessarywhen method=lsquoQuadrantrsquo

legmap a list of (numericnumericnumericnumericnumericnumericcharacter) with thesizes and the corresponding values of the 3 bubbles represented in the legend andthe variable name of variable choosed

clustermap 17

legends a list of c(booleanbooleanc(numericnumeric)c(numericnumeric)) with TRUEfor drawing legends of bubbles (1st argument) or factors (2nd argument) and thecoordinates of the location of the upper left corner of the legend box

labmod Name of factors

axis a boolean with True for drawing axes on the map

Details

For factors possibility to represent sites with different colors for each level Others options permitto represent with a croice some sites with special lsquocriteriarsquo with lsquobubblersquo according to a variablegiven a spatial contours with lsquocartersquo names of sites with lsquolabelrsquo or a representation in flowerPossibility to draw a legend giving the sizes of bubbles and colors of levels

Value

No values only drawing of a map

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

clustermap Classification of dataset using kmeansr or hclustr and representationof clusters on a map

Description

The function lsquoclustermaprsquo performs a classification of the sites from the variables included indataset and computes a bar plot of the clusters calculated Classification methods comes fromhclustR (hierarchical cluster analysis) and kmeansR (k-means clustering) and number of class ischosen with clustnum

Usage

clustermap(longlatdatasetclustnummethod=kmeanstype=NULLcenters=NULLscale=FALSElistvar=NULL listnomvar=NULLcarte=NULLcriteria=NULLlabvar=Clusterlabel=symbol=0color=1labmod=axis=FALSElablong= lablat=)

18 clustermap

Arguments

long a vector x of size n

lat a vector y of size n

dataset matrix of variables of numeric values

clustnum Number of clusters

method two methos lsquokmeansrsquo by default or lsquohclustrsquo

type If method=lsquohclustrdquo type=ldquocompleterdquo by default (the possibilities are given inhelp(hclust) as lsquowardrsquo lsquosinglersquo etc) If method=lsquokmeansrsquo type=Hartigan-Wong by default (the possibilities are given in help(kmeans) as lsquoForgyrsquo etc)

centers If method=rsquokmeansrsquo user can give a matrix with initial cluster centers

scale If scale=TRUE the dataset is reducted

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

labvar name of variable var

label vector of size n with names of each site

color 0 or 1 (by default) choice of representation of selected points If 0 sites arerepresented in blue if 1 sites are represented with different colors for eachcluster

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labmod names of Clusters

clustermap 19

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

The two windows are interactive the sites selected by a bar chosen on the bar plot are representedon the map in red and the values of sites selected on the map by lsquopointsrsquo or lsquopolygonrsquo are representedin red on the bar plot The dendogram is also drawn for rsquohclustrsquo method In option possibility tochoose the classification method

Value

A vector of boolean of size n (TRUE if the site was in the last selection) and a vector of size nwhith the number of cluster for each site

Note

To use the functions hclustr and kmeansr we take many arguments by default If the user wouldlike to modify these arguments he should call these functions first and then use the functionbarmapr to visualize the calculated clusters

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Murtagh F (1985) ldquoMultidimensional Clustering Algorithmsrdquo

Hartigan J A and Wong M A (1979) A K-means clustering algorithm Applied Statistics 28100-108

See Also

barmap pcamap

Examples

donneacutees oldcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)obslt-clustermap(oldcol$X oldcol$Yoldcol[712]3listvar=oldcollistnomvar=names(oldcol)carte=contoursOLDcriteria=(oldcol$CP==1))

20 dbledensitymap

data avifaunelibrary(ade4)data(mafragh)dlt-distchi2(mafragh$flo)

obslt-clustermap(xlt-mafragh$xy[1]ylt-mafragh$xy[2]d4method=hclusttype=wardlistvar=mafragh$partitionlistnomvar=class)

claslt-obs$vectclasselt-by(dclasmean)glt-rbind(e[1]$1e[2]$2e[3]$3e[4]$4)

clustermap(xlt-mafragh$xy[1]ylt-mafragh$xy[2]d4centers=glistvar=mafragh$partitionlistnomvar=class)

dbledensitymap Double Kernel density estimates and map

Description

The function lsquodbledensitymaprsquo plots two kernel density estimates from var1 and var2 computedwith lsquobkdeRrsquo and a map with sites of coordinates (long lat) Each site is associated to a value ofvar1 and var2 and the two windows are interactive

Usage

dbledensitymap(long lat var1 var2kernel=triweight listvar = NULLlistnomvar = NULL carte = NULL criteria = NULL label = symbol = 0 color = 1 labvar = c(var1 var2) axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of numeric values of size n

var2 a vector of numeric values of size n

kernel Smoothing kernel (see help(bkde) for list of options)

listvar matrix of variables

listnomvar names of variables listvar

dbledensitymap 21

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 choice of representation of selected points (if user has selected a barplotas an additionnal graph) If 0 sites are represented in blue if 1 sites are repre-sented with different colors for each factor

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

labvar list of character with names of variables var1 and var2

axis a boolean with True for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

The user can choose an interval on the density curve by mouse clicking on the lower and upperboundaries of the interval or by giving directly these values The selected sites are then representedon the map in red A selection by lsquopointsrsquo or lsquopolygonrsquo on the map results in the drawing of thedensity of the corresponding sub-distribution on the density plot Finally the user can modify thebandwith parameter with a cursor in the tcltk window (parameter α) α is the smoothing parameterfor the kernel smooth it represents the mean percentage of sample points involved in the localaveraging (example α = 20 means that on average ntimes 02 points are in any interval of length 2hwhere h is the usual bandwidth)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

22 dblehistomap

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Venables W N and Ripley B D (2002) ldquoModern Applied Statistics with Srdquo New York Springer

Wand MP et Jones MC (1995) ldquoKernel Smoothingrdquo Chapman amp Hall

See Also

histomap histobarmap scattermap densitymap

Examples

data aucklanddata(auckland)data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)dbledensitymap(auckland$Eastingauckland$Northingvar1=auckland$Deaths197785var2=auckland$Under51981carte=contoursaucklandlistvar=cbind(aucklandasnumeric(auckland$Deaths197785gtmean(auckland$Deaths197785))) listnomvar=c(names(auckland)sup to mean)labvar=c(Deaths197785Under51981)criteria=(auckland$Deaths197785gtmean(auckland$Deaths197785)))

data columbusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-dbledensitymap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)dbledensitymap(eire$V1eire$V2eire$Aeire$townslabvar=c(Taux dindividus au groupe sanguin ASurface urbaine)carte=eirecontourskernel=normallistvar=eirelistnomvar=names(eire))

dblehistomap Double Interactive Histogram and map

Description

The function lsquodblehistomaprsquo draws two histograms of the given variables var1 and var2 and a mapwith sites of coordinates (long lat) Each site is associated to a value of var1 and var2 and thereis interactivity between the two windows created

dblehistomap 23

Usage

dblehistomap(long lat var1 var2 listvar = NULL listnomvar = NULLnbcol1 = 10 nbcol2 = 10 carte = NULL criteria = NULLsymbol = 0 color = 1 labvar = c( ) label = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of numeric values of size n

var2 a vector of numeric values of size n

listvar matrix of variables

listnomvar names of variables listvar

nbcol1 number of cells for histogram 1 (10 by default)

nbcol2 number of cells for histogram 2 (10 by default)

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

24 densitymap

Details

The selection of sites by lsquopointsrsquo or lsquopolygonsrsquo on the map results in the drawing of the red his-tograms of the subdistributions corresponding to this subset of sites

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap densitymap

Examples

data aucklanddata(auckland)data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)dblehistomap(auckland$Eastingauckland$Northingvar1=auckland$Deaths197785var2=auckland$Under51981carte=contoursaucklandlistvar=cbind(aucklandasnumeric(auckland$Deaths197785gtmean(auckland$Deaths197785)))listnomvar=c(names(auckland)sup to mean)labvar=c(Deaths197785Under51981)criteria=(auckland$Deaths197785gtmean(auckland$Deaths197785)))

data colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadblehistomap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

densitymap Kernel density estimates and map

Description

The function lsquodensitymaprsquo draws kernel density estimates of the variable var with rsquobkdeRrsquo anda map with sites of coordinate (long lat) Each site is associated to a value of var and there isinteractivity between the two windows

densitymap 25

Usage

densitymap(long lat varkernel=triweightlistvar=NULLlistnomvar=NULLcarte=NULL criteria=NULLlabel=symbol=0color=1 labvar=axis=FALSElablong= lablat=)

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

kernel Smoothing kernel (see help(bkde) for list of options)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

color 0 or 1 choice of representation of selected points (if user has selected a barplotas an additionnal graph) If 0 sites are represented in blue if 1 sites are repre-sented with different colors for each factor

labvar name of variable var

axis a boolean with True for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

26 densitymap

Details

The user can choose an interval on the density curve by mouse clicking on the graph on the extremi-ties of interval or by specifying directly values The sites selected by an interval are then representedon the map in red The selection of sites on the map by lsquopointsrsquo or lsquopolygonrsquo results in the draw-ing of the kernel densities of the subdistributions corresponding to this subset of sites Finally theuser can modify the bandwith parameter with a cursor in the tcltk window (parameter α) α is thesmoothing parameter for the kernel smooth it represents the mean percentage of sample pointsinvolved in the local averaging (example α = 20 means that on average ntimes 02 points are in anyinterval of length 2h where h is the usual bandwidth)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Venables W N and Ripley B D (2002) ldquoModern Applied Statistics with Srdquo New York Springer

Wand MP et Jones MC (1995) ldquoKernel Smoothingrdquo Chapman amp Hall

See Also

histomap histobarmap scattermap densitymap

Examples

library tcltk and KernSmooth data olcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)densitymap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcolcarte=contoursOLD listnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME)))

data columbusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadensitymap(colombuscontours$Xcolombuscontours$Ycolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

data eiredata(eire)

distchi2 27

data(eirepolys)eirecontourslt-polylist2list(eirepolys)densitymap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

distchi2 It gives an euclidian distance matrix for factors using metric of χ2

Description

The function lsquodistchi2rsquo calculates an euclidian distance matrix for factors using metric of χ2

Usage

distchi2(mat)

Arguments

mat A matrix of factors given as numeric values

Details

The euclidian distance between two individuals i and k using the metric of χ2 is given by

d2χ2 =

n

p

sumj

p

mjsuml

δjlik

1nj

l

with n number of individuals p number of variables mj is the number of possibilities for variableY j nj

l is the number of individuals where l has been observed for Y j and δjlik = 1 if there is a

discordance between i and k for l and 0 otherwise It is not an interactive function

Value

It returns a dist object (see help(dist))

Author(s)

Laurent Thibault

References

Besse Philippe ldquoData mining 2 Modeacutelisation statistique et apprentissagerdquo Publication du LSPhttpwwwlspups-tlsefrBesse

See Also

clustermap

carte 15

Examples

donnees oldcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)boxplotmap(oldcol$X oldcol$Yoldcol$CRIMElistvar=oldcolcarte=contoursOLD listnomvar=names(oldcol)criteria=(oldcol$CP==1)axis=TRUElablong=Xlablat=Y)

donnees bostondata(boston)boxplotmap(boston$xboston$yboston$CRIMlistvar=bostonlistnomvar=names(boston)criteria=(boston$CHAS==1))

donneacutees eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)boxplotmap(eire$V1eire$V2eire$POPCHGlistvar=eirelistnomvar=names(eire)carte=eirecontourslabvar=Taux deacutevolution de la population de 1921 agrave1962)

carte Drawing a map

Description

The function lsquocartersquo draws a map with sites of coordinates (long lat) and represents sites whichhave been selected (obs) in red if symbol=0 or with star if symbol=1 This function is called bymost of the functions of GeoXp (this is not an interactive function)

Usage

carte(long lat obscriteria=NULLbuble=FALSEcbuble=NULLnointer=FALSE carte=NULLnocart=FALSE label=symbol=0col=0 lablong= lablat= method= W=NULL couleurs=classe obsqlegmap=NULLlegends=list(FALSEFALSE)labmod=axis=FALSE)

Arguments

long a vector x of size n

lat a vector y of size n

obs a boolean vector of size n with TRUE on selected sites

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

16 carte

buble a boolean with TRUE for drawing bubbles FALSE otherwise

cbuble vector of size n with size of each site depending on variable with which bubblesare constructed

nointer a boolean with TRUE for drawing sites selected by criteria FALSE otherwise

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

nocart a boolean with TRUE for drawing spatial contours FALSE otherwise

label vector of character of size n with name of each site

col 0 or 1 choice of representation of selected points If 0 sites are represented inblue if 1 sites are represented with different colors for each factor

symbol 0 or 1 choice of representation of selected points If 0 selected points are inred if 1 selected points are stars

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

method Specification for some graphics such as lsquoNeighbourplot1rsquo lsquoNeighbourplot2rsquolsquoClusterrsquo lsquoAngleplotrsquo lsquoVariocloudrsquo

W neighbourhood matrix of size ntimes n necessary when method=lsquoNeighbourplotrsquo

couleurs Possibility to change colors (only for admin)

classe vector of n whith class necessary when method=lsquoClusterrsquo

obsq vector of size n with number of quadrant to which the site belongs necessarywhen method=lsquoQuadrantrsquo

legmap a list of (numericnumericnumericnumericnumericnumericcharacter) with thesizes and the corresponding values of the 3 bubbles represented in the legend andthe variable name of variable choosed

clustermap 17

legends a list of c(booleanbooleanc(numericnumeric)c(numericnumeric)) with TRUEfor drawing legends of bubbles (1st argument) or factors (2nd argument) and thecoordinates of the location of the upper left corner of the legend box

labmod Name of factors

axis a boolean with True for drawing axes on the map

Details

For factors possibility to represent sites with different colors for each level Others options permitto represent with a croice some sites with special lsquocriteriarsquo with lsquobubblersquo according to a variablegiven a spatial contours with lsquocartersquo names of sites with lsquolabelrsquo or a representation in flowerPossibility to draw a legend giving the sizes of bubbles and colors of levels

Value

No values only drawing of a map

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

clustermap Classification of dataset using kmeansr or hclustr and representationof clusters on a map

Description

The function lsquoclustermaprsquo performs a classification of the sites from the variables included indataset and computes a bar plot of the clusters calculated Classification methods comes fromhclustR (hierarchical cluster analysis) and kmeansR (k-means clustering) and number of class ischosen with clustnum

Usage

clustermap(longlatdatasetclustnummethod=kmeanstype=NULLcenters=NULLscale=FALSElistvar=NULL listnomvar=NULLcarte=NULLcriteria=NULLlabvar=Clusterlabel=symbol=0color=1labmod=axis=FALSElablong= lablat=)

18 clustermap

Arguments

long a vector x of size n

lat a vector y of size n

dataset matrix of variables of numeric values

clustnum Number of clusters

method two methos lsquokmeansrsquo by default or lsquohclustrsquo

type If method=lsquohclustrdquo type=ldquocompleterdquo by default (the possibilities are given inhelp(hclust) as lsquowardrsquo lsquosinglersquo etc) If method=lsquokmeansrsquo type=Hartigan-Wong by default (the possibilities are given in help(kmeans) as lsquoForgyrsquo etc)

centers If method=rsquokmeansrsquo user can give a matrix with initial cluster centers

scale If scale=TRUE the dataset is reducted

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

labvar name of variable var

label vector of size n with names of each site

color 0 or 1 (by default) choice of representation of selected points If 0 sites arerepresented in blue if 1 sites are represented with different colors for eachcluster

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labmod names of Clusters

clustermap 19

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

The two windows are interactive the sites selected by a bar chosen on the bar plot are representedon the map in red and the values of sites selected on the map by lsquopointsrsquo or lsquopolygonrsquo are representedin red on the bar plot The dendogram is also drawn for rsquohclustrsquo method In option possibility tochoose the classification method

Value

A vector of boolean of size n (TRUE if the site was in the last selection) and a vector of size nwhith the number of cluster for each site

Note

To use the functions hclustr and kmeansr we take many arguments by default If the user wouldlike to modify these arguments he should call these functions first and then use the functionbarmapr to visualize the calculated clusters

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Murtagh F (1985) ldquoMultidimensional Clustering Algorithmsrdquo

Hartigan J A and Wong M A (1979) A K-means clustering algorithm Applied Statistics 28100-108

See Also

barmap pcamap

Examples

donneacutees oldcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)obslt-clustermap(oldcol$X oldcol$Yoldcol[712]3listvar=oldcollistnomvar=names(oldcol)carte=contoursOLDcriteria=(oldcol$CP==1))

20 dbledensitymap

data avifaunelibrary(ade4)data(mafragh)dlt-distchi2(mafragh$flo)

obslt-clustermap(xlt-mafragh$xy[1]ylt-mafragh$xy[2]d4method=hclusttype=wardlistvar=mafragh$partitionlistnomvar=class)

claslt-obs$vectclasselt-by(dclasmean)glt-rbind(e[1]$1e[2]$2e[3]$3e[4]$4)

clustermap(xlt-mafragh$xy[1]ylt-mafragh$xy[2]d4centers=glistvar=mafragh$partitionlistnomvar=class)

dbledensitymap Double Kernel density estimates and map

Description

The function lsquodbledensitymaprsquo plots two kernel density estimates from var1 and var2 computedwith lsquobkdeRrsquo and a map with sites of coordinates (long lat) Each site is associated to a value ofvar1 and var2 and the two windows are interactive

Usage

dbledensitymap(long lat var1 var2kernel=triweight listvar = NULLlistnomvar = NULL carte = NULL criteria = NULL label = symbol = 0 color = 1 labvar = c(var1 var2) axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of numeric values of size n

var2 a vector of numeric values of size n

kernel Smoothing kernel (see help(bkde) for list of options)

listvar matrix of variables

listnomvar names of variables listvar

dbledensitymap 21

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 choice of representation of selected points (if user has selected a barplotas an additionnal graph) If 0 sites are represented in blue if 1 sites are repre-sented with different colors for each factor

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

labvar list of character with names of variables var1 and var2

axis a boolean with True for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

The user can choose an interval on the density curve by mouse clicking on the lower and upperboundaries of the interval or by giving directly these values The selected sites are then representedon the map in red A selection by lsquopointsrsquo or lsquopolygonrsquo on the map results in the drawing of thedensity of the corresponding sub-distribution on the density plot Finally the user can modify thebandwith parameter with a cursor in the tcltk window (parameter α) α is the smoothing parameterfor the kernel smooth it represents the mean percentage of sample points involved in the localaveraging (example α = 20 means that on average ntimes 02 points are in any interval of length 2hwhere h is the usual bandwidth)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

22 dblehistomap

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Venables W N and Ripley B D (2002) ldquoModern Applied Statistics with Srdquo New York Springer

Wand MP et Jones MC (1995) ldquoKernel Smoothingrdquo Chapman amp Hall

See Also

histomap histobarmap scattermap densitymap

Examples

data aucklanddata(auckland)data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)dbledensitymap(auckland$Eastingauckland$Northingvar1=auckland$Deaths197785var2=auckland$Under51981carte=contoursaucklandlistvar=cbind(aucklandasnumeric(auckland$Deaths197785gtmean(auckland$Deaths197785))) listnomvar=c(names(auckland)sup to mean)labvar=c(Deaths197785Under51981)criteria=(auckland$Deaths197785gtmean(auckland$Deaths197785)))

data columbusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-dbledensitymap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)dbledensitymap(eire$V1eire$V2eire$Aeire$townslabvar=c(Taux dindividus au groupe sanguin ASurface urbaine)carte=eirecontourskernel=normallistvar=eirelistnomvar=names(eire))

dblehistomap Double Interactive Histogram and map

Description

The function lsquodblehistomaprsquo draws two histograms of the given variables var1 and var2 and a mapwith sites of coordinates (long lat) Each site is associated to a value of var1 and var2 and thereis interactivity between the two windows created

dblehistomap 23

Usage

dblehistomap(long lat var1 var2 listvar = NULL listnomvar = NULLnbcol1 = 10 nbcol2 = 10 carte = NULL criteria = NULLsymbol = 0 color = 1 labvar = c( ) label = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of numeric values of size n

var2 a vector of numeric values of size n

listvar matrix of variables

listnomvar names of variables listvar

nbcol1 number of cells for histogram 1 (10 by default)

nbcol2 number of cells for histogram 2 (10 by default)

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

24 densitymap

Details

The selection of sites by lsquopointsrsquo or lsquopolygonsrsquo on the map results in the drawing of the red his-tograms of the subdistributions corresponding to this subset of sites

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap densitymap

Examples

data aucklanddata(auckland)data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)dblehistomap(auckland$Eastingauckland$Northingvar1=auckland$Deaths197785var2=auckland$Under51981carte=contoursaucklandlistvar=cbind(aucklandasnumeric(auckland$Deaths197785gtmean(auckland$Deaths197785)))listnomvar=c(names(auckland)sup to mean)labvar=c(Deaths197785Under51981)criteria=(auckland$Deaths197785gtmean(auckland$Deaths197785)))

data colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadblehistomap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

densitymap Kernel density estimates and map

Description

The function lsquodensitymaprsquo draws kernel density estimates of the variable var with rsquobkdeRrsquo anda map with sites of coordinate (long lat) Each site is associated to a value of var and there isinteractivity between the two windows

densitymap 25

Usage

densitymap(long lat varkernel=triweightlistvar=NULLlistnomvar=NULLcarte=NULL criteria=NULLlabel=symbol=0color=1 labvar=axis=FALSElablong= lablat=)

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

kernel Smoothing kernel (see help(bkde) for list of options)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

color 0 or 1 choice of representation of selected points (if user has selected a barplotas an additionnal graph) If 0 sites are represented in blue if 1 sites are repre-sented with different colors for each factor

labvar name of variable var

axis a boolean with True for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

26 densitymap

Details

The user can choose an interval on the density curve by mouse clicking on the graph on the extremi-ties of interval or by specifying directly values The sites selected by an interval are then representedon the map in red The selection of sites on the map by lsquopointsrsquo or lsquopolygonrsquo results in the draw-ing of the kernel densities of the subdistributions corresponding to this subset of sites Finally theuser can modify the bandwith parameter with a cursor in the tcltk window (parameter α) α is thesmoothing parameter for the kernel smooth it represents the mean percentage of sample pointsinvolved in the local averaging (example α = 20 means that on average ntimes 02 points are in anyinterval of length 2h where h is the usual bandwidth)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Venables W N and Ripley B D (2002) ldquoModern Applied Statistics with Srdquo New York Springer

Wand MP et Jones MC (1995) ldquoKernel Smoothingrdquo Chapman amp Hall

See Also

histomap histobarmap scattermap densitymap

Examples

library tcltk and KernSmooth data olcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)densitymap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcolcarte=contoursOLD listnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME)))

data columbusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadensitymap(colombuscontours$Xcolombuscontours$Ycolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

data eiredata(eire)

distchi2 27

data(eirepolys)eirecontourslt-polylist2list(eirepolys)densitymap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

distchi2 It gives an euclidian distance matrix for factors using metric of χ2

Description

The function lsquodistchi2rsquo calculates an euclidian distance matrix for factors using metric of χ2

Usage

distchi2(mat)

Arguments

mat A matrix of factors given as numeric values

Details

The euclidian distance between two individuals i and k using the metric of χ2 is given by

d2χ2 =

n

p

sumj

p

mjsuml

δjlik

1nj

l

with n number of individuals p number of variables mj is the number of possibilities for variableY j nj

l is the number of individuals where l has been observed for Y j and δjlik = 1 if there is a

discordance between i and k for l and 0 otherwise It is not an interactive function

Value

It returns a dist object (see help(dist))

Author(s)

Laurent Thibault

References

Besse Philippe ldquoData mining 2 Modeacutelisation statistique et apprentissagerdquo Publication du LSPhttpwwwlspups-tlsefrBesse

See Also

clustermap

16 carte

buble a boolean with TRUE for drawing bubbles FALSE otherwise

cbuble vector of size n with size of each site depending on variable with which bubblesare constructed

nointer a boolean with TRUE for drawing sites selected by criteria FALSE otherwise

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

nocart a boolean with TRUE for drawing spatial contours FALSE otherwise

label vector of character of size n with name of each site

col 0 or 1 choice of representation of selected points If 0 sites are represented inblue if 1 sites are represented with different colors for each factor

symbol 0 or 1 choice of representation of selected points If 0 selected points are inred if 1 selected points are stars

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

method Specification for some graphics such as lsquoNeighbourplot1rsquo lsquoNeighbourplot2rsquolsquoClusterrsquo lsquoAngleplotrsquo lsquoVariocloudrsquo

W neighbourhood matrix of size ntimes n necessary when method=lsquoNeighbourplotrsquo

couleurs Possibility to change colors (only for admin)

classe vector of n whith class necessary when method=lsquoClusterrsquo

obsq vector of size n with number of quadrant to which the site belongs necessarywhen method=lsquoQuadrantrsquo

legmap a list of (numericnumericnumericnumericnumericnumericcharacter) with thesizes and the corresponding values of the 3 bubbles represented in the legend andthe variable name of variable choosed

clustermap 17

legends a list of c(booleanbooleanc(numericnumeric)c(numericnumeric)) with TRUEfor drawing legends of bubbles (1st argument) or factors (2nd argument) and thecoordinates of the location of the upper left corner of the legend box

labmod Name of factors

axis a boolean with True for drawing axes on the map

Details

For factors possibility to represent sites with different colors for each level Others options permitto represent with a croice some sites with special lsquocriteriarsquo with lsquobubblersquo according to a variablegiven a spatial contours with lsquocartersquo names of sites with lsquolabelrsquo or a representation in flowerPossibility to draw a legend giving the sizes of bubbles and colors of levels

Value

No values only drawing of a map

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

clustermap Classification of dataset using kmeansr or hclustr and representationof clusters on a map

Description

The function lsquoclustermaprsquo performs a classification of the sites from the variables included indataset and computes a bar plot of the clusters calculated Classification methods comes fromhclustR (hierarchical cluster analysis) and kmeansR (k-means clustering) and number of class ischosen with clustnum

Usage

clustermap(longlatdatasetclustnummethod=kmeanstype=NULLcenters=NULLscale=FALSElistvar=NULL listnomvar=NULLcarte=NULLcriteria=NULLlabvar=Clusterlabel=symbol=0color=1labmod=axis=FALSElablong= lablat=)

18 clustermap

Arguments

long a vector x of size n

lat a vector y of size n

dataset matrix of variables of numeric values

clustnum Number of clusters

method two methos lsquokmeansrsquo by default or lsquohclustrsquo

type If method=lsquohclustrdquo type=ldquocompleterdquo by default (the possibilities are given inhelp(hclust) as lsquowardrsquo lsquosinglersquo etc) If method=lsquokmeansrsquo type=Hartigan-Wong by default (the possibilities are given in help(kmeans) as lsquoForgyrsquo etc)

centers If method=rsquokmeansrsquo user can give a matrix with initial cluster centers

scale If scale=TRUE the dataset is reducted

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

labvar name of variable var

label vector of size n with names of each site

color 0 or 1 (by default) choice of representation of selected points If 0 sites arerepresented in blue if 1 sites are represented with different colors for eachcluster

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labmod names of Clusters

clustermap 19

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

The two windows are interactive the sites selected by a bar chosen on the bar plot are representedon the map in red and the values of sites selected on the map by lsquopointsrsquo or lsquopolygonrsquo are representedin red on the bar plot The dendogram is also drawn for rsquohclustrsquo method In option possibility tochoose the classification method

Value

A vector of boolean of size n (TRUE if the site was in the last selection) and a vector of size nwhith the number of cluster for each site

Note

To use the functions hclustr and kmeansr we take many arguments by default If the user wouldlike to modify these arguments he should call these functions first and then use the functionbarmapr to visualize the calculated clusters

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Murtagh F (1985) ldquoMultidimensional Clustering Algorithmsrdquo

Hartigan J A and Wong M A (1979) A K-means clustering algorithm Applied Statistics 28100-108

See Also

barmap pcamap

Examples

donneacutees oldcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)obslt-clustermap(oldcol$X oldcol$Yoldcol[712]3listvar=oldcollistnomvar=names(oldcol)carte=contoursOLDcriteria=(oldcol$CP==1))

20 dbledensitymap

data avifaunelibrary(ade4)data(mafragh)dlt-distchi2(mafragh$flo)

obslt-clustermap(xlt-mafragh$xy[1]ylt-mafragh$xy[2]d4method=hclusttype=wardlistvar=mafragh$partitionlistnomvar=class)

claslt-obs$vectclasselt-by(dclasmean)glt-rbind(e[1]$1e[2]$2e[3]$3e[4]$4)

clustermap(xlt-mafragh$xy[1]ylt-mafragh$xy[2]d4centers=glistvar=mafragh$partitionlistnomvar=class)

dbledensitymap Double Kernel density estimates and map

Description

The function lsquodbledensitymaprsquo plots two kernel density estimates from var1 and var2 computedwith lsquobkdeRrsquo and a map with sites of coordinates (long lat) Each site is associated to a value ofvar1 and var2 and the two windows are interactive

Usage

dbledensitymap(long lat var1 var2kernel=triweight listvar = NULLlistnomvar = NULL carte = NULL criteria = NULL label = symbol = 0 color = 1 labvar = c(var1 var2) axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of numeric values of size n

var2 a vector of numeric values of size n

kernel Smoothing kernel (see help(bkde) for list of options)

listvar matrix of variables

listnomvar names of variables listvar

dbledensitymap 21

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 choice of representation of selected points (if user has selected a barplotas an additionnal graph) If 0 sites are represented in blue if 1 sites are repre-sented with different colors for each factor

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

labvar list of character with names of variables var1 and var2

axis a boolean with True for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

The user can choose an interval on the density curve by mouse clicking on the lower and upperboundaries of the interval or by giving directly these values The selected sites are then representedon the map in red A selection by lsquopointsrsquo or lsquopolygonrsquo on the map results in the drawing of thedensity of the corresponding sub-distribution on the density plot Finally the user can modify thebandwith parameter with a cursor in the tcltk window (parameter α) α is the smoothing parameterfor the kernel smooth it represents the mean percentage of sample points involved in the localaveraging (example α = 20 means that on average ntimes 02 points are in any interval of length 2hwhere h is the usual bandwidth)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

22 dblehistomap

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Venables W N and Ripley B D (2002) ldquoModern Applied Statistics with Srdquo New York Springer

Wand MP et Jones MC (1995) ldquoKernel Smoothingrdquo Chapman amp Hall

See Also

histomap histobarmap scattermap densitymap

Examples

data aucklanddata(auckland)data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)dbledensitymap(auckland$Eastingauckland$Northingvar1=auckland$Deaths197785var2=auckland$Under51981carte=contoursaucklandlistvar=cbind(aucklandasnumeric(auckland$Deaths197785gtmean(auckland$Deaths197785))) listnomvar=c(names(auckland)sup to mean)labvar=c(Deaths197785Under51981)criteria=(auckland$Deaths197785gtmean(auckland$Deaths197785)))

data columbusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-dbledensitymap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)dbledensitymap(eire$V1eire$V2eire$Aeire$townslabvar=c(Taux dindividus au groupe sanguin ASurface urbaine)carte=eirecontourskernel=normallistvar=eirelistnomvar=names(eire))

dblehistomap Double Interactive Histogram and map

Description

The function lsquodblehistomaprsquo draws two histograms of the given variables var1 and var2 and a mapwith sites of coordinates (long lat) Each site is associated to a value of var1 and var2 and thereis interactivity between the two windows created

dblehistomap 23

Usage

dblehistomap(long lat var1 var2 listvar = NULL listnomvar = NULLnbcol1 = 10 nbcol2 = 10 carte = NULL criteria = NULLsymbol = 0 color = 1 labvar = c( ) label = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of numeric values of size n

var2 a vector of numeric values of size n

listvar matrix of variables

listnomvar names of variables listvar

nbcol1 number of cells for histogram 1 (10 by default)

nbcol2 number of cells for histogram 2 (10 by default)

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

24 densitymap

Details

The selection of sites by lsquopointsrsquo or lsquopolygonsrsquo on the map results in the drawing of the red his-tograms of the subdistributions corresponding to this subset of sites

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap densitymap

Examples

data aucklanddata(auckland)data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)dblehistomap(auckland$Eastingauckland$Northingvar1=auckland$Deaths197785var2=auckland$Under51981carte=contoursaucklandlistvar=cbind(aucklandasnumeric(auckland$Deaths197785gtmean(auckland$Deaths197785)))listnomvar=c(names(auckland)sup to mean)labvar=c(Deaths197785Under51981)criteria=(auckland$Deaths197785gtmean(auckland$Deaths197785)))

data colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadblehistomap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

densitymap Kernel density estimates and map

Description

The function lsquodensitymaprsquo draws kernel density estimates of the variable var with rsquobkdeRrsquo anda map with sites of coordinate (long lat) Each site is associated to a value of var and there isinteractivity between the two windows

densitymap 25

Usage

densitymap(long lat varkernel=triweightlistvar=NULLlistnomvar=NULLcarte=NULL criteria=NULLlabel=symbol=0color=1 labvar=axis=FALSElablong= lablat=)

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

kernel Smoothing kernel (see help(bkde) for list of options)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

color 0 or 1 choice of representation of selected points (if user has selected a barplotas an additionnal graph) If 0 sites are represented in blue if 1 sites are repre-sented with different colors for each factor

labvar name of variable var

axis a boolean with True for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

26 densitymap

Details

The user can choose an interval on the density curve by mouse clicking on the graph on the extremi-ties of interval or by specifying directly values The sites selected by an interval are then representedon the map in red The selection of sites on the map by lsquopointsrsquo or lsquopolygonrsquo results in the draw-ing of the kernel densities of the subdistributions corresponding to this subset of sites Finally theuser can modify the bandwith parameter with a cursor in the tcltk window (parameter α) α is thesmoothing parameter for the kernel smooth it represents the mean percentage of sample pointsinvolved in the local averaging (example α = 20 means that on average ntimes 02 points are in anyinterval of length 2h where h is the usual bandwidth)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Venables W N and Ripley B D (2002) ldquoModern Applied Statistics with Srdquo New York Springer

Wand MP et Jones MC (1995) ldquoKernel Smoothingrdquo Chapman amp Hall

See Also

histomap histobarmap scattermap densitymap

Examples

library tcltk and KernSmooth data olcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)densitymap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcolcarte=contoursOLD listnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME)))

data columbusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadensitymap(colombuscontours$Xcolombuscontours$Ycolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

data eiredata(eire)

distchi2 27

data(eirepolys)eirecontourslt-polylist2list(eirepolys)densitymap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

distchi2 It gives an euclidian distance matrix for factors using metric of χ2

Description

The function lsquodistchi2rsquo calculates an euclidian distance matrix for factors using metric of χ2

Usage

distchi2(mat)

Arguments

mat A matrix of factors given as numeric values

Details

The euclidian distance between two individuals i and k using the metric of χ2 is given by

d2χ2 =

n

p

sumj

p

mjsuml

δjlik

1nj

l

with n number of individuals p number of variables mj is the number of possibilities for variableY j nj

l is the number of individuals where l has been observed for Y j and δjlik = 1 if there is a

discordance between i and k for l and 0 otherwise It is not an interactive function

Value

It returns a dist object (see help(dist))

Author(s)

Laurent Thibault

References

Besse Philippe ldquoData mining 2 Modeacutelisation statistique et apprentissagerdquo Publication du LSPhttpwwwlspups-tlsefrBesse

See Also

clustermap

clustermap 17

legends a list of c(booleanbooleanc(numericnumeric)c(numericnumeric)) with TRUEfor drawing legends of bubbles (1st argument) or factors (2nd argument) and thecoordinates of the location of the upper left corner of the legend box

labmod Name of factors

axis a boolean with True for drawing axes on the map

Details

For factors possibility to represent sites with different colors for each level Others options permitto represent with a croice some sites with special lsquocriteriarsquo with lsquobubblersquo according to a variablegiven a spatial contours with lsquocartersquo names of sites with lsquolabelrsquo or a representation in flowerPossibility to draw a legend giving the sizes of bubbles and colors of levels

Value

No values only drawing of a map

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

clustermap Classification of dataset using kmeansr or hclustr and representationof clusters on a map

Description

The function lsquoclustermaprsquo performs a classification of the sites from the variables included indataset and computes a bar plot of the clusters calculated Classification methods comes fromhclustR (hierarchical cluster analysis) and kmeansR (k-means clustering) and number of class ischosen with clustnum

Usage

clustermap(longlatdatasetclustnummethod=kmeanstype=NULLcenters=NULLscale=FALSElistvar=NULL listnomvar=NULLcarte=NULLcriteria=NULLlabvar=Clusterlabel=symbol=0color=1labmod=axis=FALSElablong= lablat=)

18 clustermap

Arguments

long a vector x of size n

lat a vector y of size n

dataset matrix of variables of numeric values

clustnum Number of clusters

method two methos lsquokmeansrsquo by default or lsquohclustrsquo

type If method=lsquohclustrdquo type=ldquocompleterdquo by default (the possibilities are given inhelp(hclust) as lsquowardrsquo lsquosinglersquo etc) If method=lsquokmeansrsquo type=Hartigan-Wong by default (the possibilities are given in help(kmeans) as lsquoForgyrsquo etc)

centers If method=rsquokmeansrsquo user can give a matrix with initial cluster centers

scale If scale=TRUE the dataset is reducted

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

labvar name of variable var

label vector of size n with names of each site

color 0 or 1 (by default) choice of representation of selected points If 0 sites arerepresented in blue if 1 sites are represented with different colors for eachcluster

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labmod names of Clusters

clustermap 19

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

The two windows are interactive the sites selected by a bar chosen on the bar plot are representedon the map in red and the values of sites selected on the map by lsquopointsrsquo or lsquopolygonrsquo are representedin red on the bar plot The dendogram is also drawn for rsquohclustrsquo method In option possibility tochoose the classification method

Value

A vector of boolean of size n (TRUE if the site was in the last selection) and a vector of size nwhith the number of cluster for each site

Note

To use the functions hclustr and kmeansr we take many arguments by default If the user wouldlike to modify these arguments he should call these functions first and then use the functionbarmapr to visualize the calculated clusters

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Murtagh F (1985) ldquoMultidimensional Clustering Algorithmsrdquo

Hartigan J A and Wong M A (1979) A K-means clustering algorithm Applied Statistics 28100-108

See Also

barmap pcamap

Examples

donneacutees oldcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)obslt-clustermap(oldcol$X oldcol$Yoldcol[712]3listvar=oldcollistnomvar=names(oldcol)carte=contoursOLDcriteria=(oldcol$CP==1))

20 dbledensitymap

data avifaunelibrary(ade4)data(mafragh)dlt-distchi2(mafragh$flo)

obslt-clustermap(xlt-mafragh$xy[1]ylt-mafragh$xy[2]d4method=hclusttype=wardlistvar=mafragh$partitionlistnomvar=class)

claslt-obs$vectclasselt-by(dclasmean)glt-rbind(e[1]$1e[2]$2e[3]$3e[4]$4)

clustermap(xlt-mafragh$xy[1]ylt-mafragh$xy[2]d4centers=glistvar=mafragh$partitionlistnomvar=class)

dbledensitymap Double Kernel density estimates and map

Description

The function lsquodbledensitymaprsquo plots two kernel density estimates from var1 and var2 computedwith lsquobkdeRrsquo and a map with sites of coordinates (long lat) Each site is associated to a value ofvar1 and var2 and the two windows are interactive

Usage

dbledensitymap(long lat var1 var2kernel=triweight listvar = NULLlistnomvar = NULL carte = NULL criteria = NULL label = symbol = 0 color = 1 labvar = c(var1 var2) axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of numeric values of size n

var2 a vector of numeric values of size n

kernel Smoothing kernel (see help(bkde) for list of options)

listvar matrix of variables

listnomvar names of variables listvar

dbledensitymap 21

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 choice of representation of selected points (if user has selected a barplotas an additionnal graph) If 0 sites are represented in blue if 1 sites are repre-sented with different colors for each factor

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

labvar list of character with names of variables var1 and var2

axis a boolean with True for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

The user can choose an interval on the density curve by mouse clicking on the lower and upperboundaries of the interval or by giving directly these values The selected sites are then representedon the map in red A selection by lsquopointsrsquo or lsquopolygonrsquo on the map results in the drawing of thedensity of the corresponding sub-distribution on the density plot Finally the user can modify thebandwith parameter with a cursor in the tcltk window (parameter α) α is the smoothing parameterfor the kernel smooth it represents the mean percentage of sample points involved in the localaveraging (example α = 20 means that on average ntimes 02 points are in any interval of length 2hwhere h is the usual bandwidth)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

22 dblehistomap

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Venables W N and Ripley B D (2002) ldquoModern Applied Statistics with Srdquo New York Springer

Wand MP et Jones MC (1995) ldquoKernel Smoothingrdquo Chapman amp Hall

See Also

histomap histobarmap scattermap densitymap

Examples

data aucklanddata(auckland)data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)dbledensitymap(auckland$Eastingauckland$Northingvar1=auckland$Deaths197785var2=auckland$Under51981carte=contoursaucklandlistvar=cbind(aucklandasnumeric(auckland$Deaths197785gtmean(auckland$Deaths197785))) listnomvar=c(names(auckland)sup to mean)labvar=c(Deaths197785Under51981)criteria=(auckland$Deaths197785gtmean(auckland$Deaths197785)))

data columbusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-dbledensitymap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)dbledensitymap(eire$V1eire$V2eire$Aeire$townslabvar=c(Taux dindividus au groupe sanguin ASurface urbaine)carte=eirecontourskernel=normallistvar=eirelistnomvar=names(eire))

dblehistomap Double Interactive Histogram and map

Description

The function lsquodblehistomaprsquo draws two histograms of the given variables var1 and var2 and a mapwith sites of coordinates (long lat) Each site is associated to a value of var1 and var2 and thereis interactivity between the two windows created

dblehistomap 23

Usage

dblehistomap(long lat var1 var2 listvar = NULL listnomvar = NULLnbcol1 = 10 nbcol2 = 10 carte = NULL criteria = NULLsymbol = 0 color = 1 labvar = c( ) label = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of numeric values of size n

var2 a vector of numeric values of size n

listvar matrix of variables

listnomvar names of variables listvar

nbcol1 number of cells for histogram 1 (10 by default)

nbcol2 number of cells for histogram 2 (10 by default)

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

24 densitymap

Details

The selection of sites by lsquopointsrsquo or lsquopolygonsrsquo on the map results in the drawing of the red his-tograms of the subdistributions corresponding to this subset of sites

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap densitymap

Examples

data aucklanddata(auckland)data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)dblehistomap(auckland$Eastingauckland$Northingvar1=auckland$Deaths197785var2=auckland$Under51981carte=contoursaucklandlistvar=cbind(aucklandasnumeric(auckland$Deaths197785gtmean(auckland$Deaths197785)))listnomvar=c(names(auckland)sup to mean)labvar=c(Deaths197785Under51981)criteria=(auckland$Deaths197785gtmean(auckland$Deaths197785)))

data colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadblehistomap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

densitymap Kernel density estimates and map

Description

The function lsquodensitymaprsquo draws kernel density estimates of the variable var with rsquobkdeRrsquo anda map with sites of coordinate (long lat) Each site is associated to a value of var and there isinteractivity between the two windows

densitymap 25

Usage

densitymap(long lat varkernel=triweightlistvar=NULLlistnomvar=NULLcarte=NULL criteria=NULLlabel=symbol=0color=1 labvar=axis=FALSElablong= lablat=)

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

kernel Smoothing kernel (see help(bkde) for list of options)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

color 0 or 1 choice of representation of selected points (if user has selected a barplotas an additionnal graph) If 0 sites are represented in blue if 1 sites are repre-sented with different colors for each factor

labvar name of variable var

axis a boolean with True for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

26 densitymap

Details

The user can choose an interval on the density curve by mouse clicking on the graph on the extremi-ties of interval or by specifying directly values The sites selected by an interval are then representedon the map in red The selection of sites on the map by lsquopointsrsquo or lsquopolygonrsquo results in the draw-ing of the kernel densities of the subdistributions corresponding to this subset of sites Finally theuser can modify the bandwith parameter with a cursor in the tcltk window (parameter α) α is thesmoothing parameter for the kernel smooth it represents the mean percentage of sample pointsinvolved in the local averaging (example α = 20 means that on average ntimes 02 points are in anyinterval of length 2h where h is the usual bandwidth)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Venables W N and Ripley B D (2002) ldquoModern Applied Statistics with Srdquo New York Springer

Wand MP et Jones MC (1995) ldquoKernel Smoothingrdquo Chapman amp Hall

See Also

histomap histobarmap scattermap densitymap

Examples

library tcltk and KernSmooth data olcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)densitymap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcolcarte=contoursOLD listnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME)))

data columbusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadensitymap(colombuscontours$Xcolombuscontours$Ycolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

data eiredata(eire)

distchi2 27

data(eirepolys)eirecontourslt-polylist2list(eirepolys)densitymap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

distchi2 It gives an euclidian distance matrix for factors using metric of χ2

Description

The function lsquodistchi2rsquo calculates an euclidian distance matrix for factors using metric of χ2

Usage

distchi2(mat)

Arguments

mat A matrix of factors given as numeric values

Details

The euclidian distance between two individuals i and k using the metric of χ2 is given by

d2χ2 =

n

p

sumj

p

mjsuml

δjlik

1nj

l

with n number of individuals p number of variables mj is the number of possibilities for variableY j nj

l is the number of individuals where l has been observed for Y j and δjlik = 1 if there is a

discordance between i and k for l and 0 otherwise It is not an interactive function

Value

It returns a dist object (see help(dist))

Author(s)

Laurent Thibault

References

Besse Philippe ldquoData mining 2 Modeacutelisation statistique et apprentissagerdquo Publication du LSPhttpwwwlspups-tlsefrBesse

See Also

clustermap

18 clustermap

Arguments

long a vector x of size n

lat a vector y of size n

dataset matrix of variables of numeric values

clustnum Number of clusters

method two methos lsquokmeansrsquo by default or lsquohclustrsquo

type If method=lsquohclustrdquo type=ldquocompleterdquo by default (the possibilities are given inhelp(hclust) as lsquowardrsquo lsquosinglersquo etc) If method=lsquokmeansrsquo type=Hartigan-Wong by default (the possibilities are given in help(kmeans) as lsquoForgyrsquo etc)

centers If method=rsquokmeansrsquo user can give a matrix with initial cluster centers

scale If scale=TRUE the dataset is reducted

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

labvar name of variable var

label vector of size n with names of each site

color 0 or 1 (by default) choice of representation of selected points If 0 sites arerepresented in blue if 1 sites are represented with different colors for eachcluster

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labmod names of Clusters

clustermap 19

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

The two windows are interactive the sites selected by a bar chosen on the bar plot are representedon the map in red and the values of sites selected on the map by lsquopointsrsquo or lsquopolygonrsquo are representedin red on the bar plot The dendogram is also drawn for rsquohclustrsquo method In option possibility tochoose the classification method

Value

A vector of boolean of size n (TRUE if the site was in the last selection) and a vector of size nwhith the number of cluster for each site

Note

To use the functions hclustr and kmeansr we take many arguments by default If the user wouldlike to modify these arguments he should call these functions first and then use the functionbarmapr to visualize the calculated clusters

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Murtagh F (1985) ldquoMultidimensional Clustering Algorithmsrdquo

Hartigan J A and Wong M A (1979) A K-means clustering algorithm Applied Statistics 28100-108

See Also

barmap pcamap

Examples

donneacutees oldcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)obslt-clustermap(oldcol$X oldcol$Yoldcol[712]3listvar=oldcollistnomvar=names(oldcol)carte=contoursOLDcriteria=(oldcol$CP==1))

20 dbledensitymap

data avifaunelibrary(ade4)data(mafragh)dlt-distchi2(mafragh$flo)

obslt-clustermap(xlt-mafragh$xy[1]ylt-mafragh$xy[2]d4method=hclusttype=wardlistvar=mafragh$partitionlistnomvar=class)

claslt-obs$vectclasselt-by(dclasmean)glt-rbind(e[1]$1e[2]$2e[3]$3e[4]$4)

clustermap(xlt-mafragh$xy[1]ylt-mafragh$xy[2]d4centers=glistvar=mafragh$partitionlistnomvar=class)

dbledensitymap Double Kernel density estimates and map

Description

The function lsquodbledensitymaprsquo plots two kernel density estimates from var1 and var2 computedwith lsquobkdeRrsquo and a map with sites of coordinates (long lat) Each site is associated to a value ofvar1 and var2 and the two windows are interactive

Usage

dbledensitymap(long lat var1 var2kernel=triweight listvar = NULLlistnomvar = NULL carte = NULL criteria = NULL label = symbol = 0 color = 1 labvar = c(var1 var2) axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of numeric values of size n

var2 a vector of numeric values of size n

kernel Smoothing kernel (see help(bkde) for list of options)

listvar matrix of variables

listnomvar names of variables listvar

dbledensitymap 21

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 choice of representation of selected points (if user has selected a barplotas an additionnal graph) If 0 sites are represented in blue if 1 sites are repre-sented with different colors for each factor

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

labvar list of character with names of variables var1 and var2

axis a boolean with True for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

The user can choose an interval on the density curve by mouse clicking on the lower and upperboundaries of the interval or by giving directly these values The selected sites are then representedon the map in red A selection by lsquopointsrsquo or lsquopolygonrsquo on the map results in the drawing of thedensity of the corresponding sub-distribution on the density plot Finally the user can modify thebandwith parameter with a cursor in the tcltk window (parameter α) α is the smoothing parameterfor the kernel smooth it represents the mean percentage of sample points involved in the localaveraging (example α = 20 means that on average ntimes 02 points are in any interval of length 2hwhere h is the usual bandwidth)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

22 dblehistomap

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Venables W N and Ripley B D (2002) ldquoModern Applied Statistics with Srdquo New York Springer

Wand MP et Jones MC (1995) ldquoKernel Smoothingrdquo Chapman amp Hall

See Also

histomap histobarmap scattermap densitymap

Examples

data aucklanddata(auckland)data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)dbledensitymap(auckland$Eastingauckland$Northingvar1=auckland$Deaths197785var2=auckland$Under51981carte=contoursaucklandlistvar=cbind(aucklandasnumeric(auckland$Deaths197785gtmean(auckland$Deaths197785))) listnomvar=c(names(auckland)sup to mean)labvar=c(Deaths197785Under51981)criteria=(auckland$Deaths197785gtmean(auckland$Deaths197785)))

data columbusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-dbledensitymap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)dbledensitymap(eire$V1eire$V2eire$Aeire$townslabvar=c(Taux dindividus au groupe sanguin ASurface urbaine)carte=eirecontourskernel=normallistvar=eirelistnomvar=names(eire))

dblehistomap Double Interactive Histogram and map

Description

The function lsquodblehistomaprsquo draws two histograms of the given variables var1 and var2 and a mapwith sites of coordinates (long lat) Each site is associated to a value of var1 and var2 and thereis interactivity between the two windows created

dblehistomap 23

Usage

dblehistomap(long lat var1 var2 listvar = NULL listnomvar = NULLnbcol1 = 10 nbcol2 = 10 carte = NULL criteria = NULLsymbol = 0 color = 1 labvar = c( ) label = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of numeric values of size n

var2 a vector of numeric values of size n

listvar matrix of variables

listnomvar names of variables listvar

nbcol1 number of cells for histogram 1 (10 by default)

nbcol2 number of cells for histogram 2 (10 by default)

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

24 densitymap

Details

The selection of sites by lsquopointsrsquo or lsquopolygonsrsquo on the map results in the drawing of the red his-tograms of the subdistributions corresponding to this subset of sites

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap densitymap

Examples

data aucklanddata(auckland)data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)dblehistomap(auckland$Eastingauckland$Northingvar1=auckland$Deaths197785var2=auckland$Under51981carte=contoursaucklandlistvar=cbind(aucklandasnumeric(auckland$Deaths197785gtmean(auckland$Deaths197785)))listnomvar=c(names(auckland)sup to mean)labvar=c(Deaths197785Under51981)criteria=(auckland$Deaths197785gtmean(auckland$Deaths197785)))

data colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadblehistomap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

densitymap Kernel density estimates and map

Description

The function lsquodensitymaprsquo draws kernel density estimates of the variable var with rsquobkdeRrsquo anda map with sites of coordinate (long lat) Each site is associated to a value of var and there isinteractivity between the two windows

densitymap 25

Usage

densitymap(long lat varkernel=triweightlistvar=NULLlistnomvar=NULLcarte=NULL criteria=NULLlabel=symbol=0color=1 labvar=axis=FALSElablong= lablat=)

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

kernel Smoothing kernel (see help(bkde) for list of options)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

color 0 or 1 choice of representation of selected points (if user has selected a barplotas an additionnal graph) If 0 sites are represented in blue if 1 sites are repre-sented with different colors for each factor

labvar name of variable var

axis a boolean with True for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

26 densitymap

Details

The user can choose an interval on the density curve by mouse clicking on the graph on the extremi-ties of interval or by specifying directly values The sites selected by an interval are then representedon the map in red The selection of sites on the map by lsquopointsrsquo or lsquopolygonrsquo results in the draw-ing of the kernel densities of the subdistributions corresponding to this subset of sites Finally theuser can modify the bandwith parameter with a cursor in the tcltk window (parameter α) α is thesmoothing parameter for the kernel smooth it represents the mean percentage of sample pointsinvolved in the local averaging (example α = 20 means that on average ntimes 02 points are in anyinterval of length 2h where h is the usual bandwidth)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Venables W N and Ripley B D (2002) ldquoModern Applied Statistics with Srdquo New York Springer

Wand MP et Jones MC (1995) ldquoKernel Smoothingrdquo Chapman amp Hall

See Also

histomap histobarmap scattermap densitymap

Examples

library tcltk and KernSmooth data olcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)densitymap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcolcarte=contoursOLD listnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME)))

data columbusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadensitymap(colombuscontours$Xcolombuscontours$Ycolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

data eiredata(eire)

distchi2 27

data(eirepolys)eirecontourslt-polylist2list(eirepolys)densitymap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

distchi2 It gives an euclidian distance matrix for factors using metric of χ2

Description

The function lsquodistchi2rsquo calculates an euclidian distance matrix for factors using metric of χ2

Usage

distchi2(mat)

Arguments

mat A matrix of factors given as numeric values

Details

The euclidian distance between two individuals i and k using the metric of χ2 is given by

d2χ2 =

n

p

sumj

p

mjsuml

δjlik

1nj

l

with n number of individuals p number of variables mj is the number of possibilities for variableY j nj

l is the number of individuals where l has been observed for Y j and δjlik = 1 if there is a

discordance between i and k for l and 0 otherwise It is not an interactive function

Value

It returns a dist object (see help(dist))

Author(s)

Laurent Thibault

References

Besse Philippe ldquoData mining 2 Modeacutelisation statistique et apprentissagerdquo Publication du LSPhttpwwwlspups-tlsefrBesse

See Also

clustermap

clustermap 19

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

The two windows are interactive the sites selected by a bar chosen on the bar plot are representedon the map in red and the values of sites selected on the map by lsquopointsrsquo or lsquopolygonrsquo are representedin red on the bar plot The dendogram is also drawn for rsquohclustrsquo method In option possibility tochoose the classification method

Value

A vector of boolean of size n (TRUE if the site was in the last selection) and a vector of size nwhith the number of cluster for each site

Note

To use the functions hclustr and kmeansr we take many arguments by default If the user wouldlike to modify these arguments he should call these functions first and then use the functionbarmapr to visualize the calculated clusters

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Murtagh F (1985) ldquoMultidimensional Clustering Algorithmsrdquo

Hartigan J A and Wong M A (1979) A K-means clustering algorithm Applied Statistics 28100-108

See Also

barmap pcamap

Examples

donneacutees oldcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)obslt-clustermap(oldcol$X oldcol$Yoldcol[712]3listvar=oldcollistnomvar=names(oldcol)carte=contoursOLDcriteria=(oldcol$CP==1))

20 dbledensitymap

data avifaunelibrary(ade4)data(mafragh)dlt-distchi2(mafragh$flo)

obslt-clustermap(xlt-mafragh$xy[1]ylt-mafragh$xy[2]d4method=hclusttype=wardlistvar=mafragh$partitionlistnomvar=class)

claslt-obs$vectclasselt-by(dclasmean)glt-rbind(e[1]$1e[2]$2e[3]$3e[4]$4)

clustermap(xlt-mafragh$xy[1]ylt-mafragh$xy[2]d4centers=glistvar=mafragh$partitionlistnomvar=class)

dbledensitymap Double Kernel density estimates and map

Description

The function lsquodbledensitymaprsquo plots two kernel density estimates from var1 and var2 computedwith lsquobkdeRrsquo and a map with sites of coordinates (long lat) Each site is associated to a value ofvar1 and var2 and the two windows are interactive

Usage

dbledensitymap(long lat var1 var2kernel=triweight listvar = NULLlistnomvar = NULL carte = NULL criteria = NULL label = symbol = 0 color = 1 labvar = c(var1 var2) axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of numeric values of size n

var2 a vector of numeric values of size n

kernel Smoothing kernel (see help(bkde) for list of options)

listvar matrix of variables

listnomvar names of variables listvar

dbledensitymap 21

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 choice of representation of selected points (if user has selected a barplotas an additionnal graph) If 0 sites are represented in blue if 1 sites are repre-sented with different colors for each factor

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

labvar list of character with names of variables var1 and var2

axis a boolean with True for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

The user can choose an interval on the density curve by mouse clicking on the lower and upperboundaries of the interval or by giving directly these values The selected sites are then representedon the map in red A selection by lsquopointsrsquo or lsquopolygonrsquo on the map results in the drawing of thedensity of the corresponding sub-distribution on the density plot Finally the user can modify thebandwith parameter with a cursor in the tcltk window (parameter α) α is the smoothing parameterfor the kernel smooth it represents the mean percentage of sample points involved in the localaveraging (example α = 20 means that on average ntimes 02 points are in any interval of length 2hwhere h is the usual bandwidth)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

22 dblehistomap

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Venables W N and Ripley B D (2002) ldquoModern Applied Statistics with Srdquo New York Springer

Wand MP et Jones MC (1995) ldquoKernel Smoothingrdquo Chapman amp Hall

See Also

histomap histobarmap scattermap densitymap

Examples

data aucklanddata(auckland)data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)dbledensitymap(auckland$Eastingauckland$Northingvar1=auckland$Deaths197785var2=auckland$Under51981carte=contoursaucklandlistvar=cbind(aucklandasnumeric(auckland$Deaths197785gtmean(auckland$Deaths197785))) listnomvar=c(names(auckland)sup to mean)labvar=c(Deaths197785Under51981)criteria=(auckland$Deaths197785gtmean(auckland$Deaths197785)))

data columbusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-dbledensitymap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)dbledensitymap(eire$V1eire$V2eire$Aeire$townslabvar=c(Taux dindividus au groupe sanguin ASurface urbaine)carte=eirecontourskernel=normallistvar=eirelistnomvar=names(eire))

dblehistomap Double Interactive Histogram and map

Description

The function lsquodblehistomaprsquo draws two histograms of the given variables var1 and var2 and a mapwith sites of coordinates (long lat) Each site is associated to a value of var1 and var2 and thereis interactivity between the two windows created

dblehistomap 23

Usage

dblehistomap(long lat var1 var2 listvar = NULL listnomvar = NULLnbcol1 = 10 nbcol2 = 10 carte = NULL criteria = NULLsymbol = 0 color = 1 labvar = c( ) label = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of numeric values of size n

var2 a vector of numeric values of size n

listvar matrix of variables

listnomvar names of variables listvar

nbcol1 number of cells for histogram 1 (10 by default)

nbcol2 number of cells for histogram 2 (10 by default)

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

24 densitymap

Details

The selection of sites by lsquopointsrsquo or lsquopolygonsrsquo on the map results in the drawing of the red his-tograms of the subdistributions corresponding to this subset of sites

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap densitymap

Examples

data aucklanddata(auckland)data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)dblehistomap(auckland$Eastingauckland$Northingvar1=auckland$Deaths197785var2=auckland$Under51981carte=contoursaucklandlistvar=cbind(aucklandasnumeric(auckland$Deaths197785gtmean(auckland$Deaths197785)))listnomvar=c(names(auckland)sup to mean)labvar=c(Deaths197785Under51981)criteria=(auckland$Deaths197785gtmean(auckland$Deaths197785)))

data colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadblehistomap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

densitymap Kernel density estimates and map

Description

The function lsquodensitymaprsquo draws kernel density estimates of the variable var with rsquobkdeRrsquo anda map with sites of coordinate (long lat) Each site is associated to a value of var and there isinteractivity between the two windows

densitymap 25

Usage

densitymap(long lat varkernel=triweightlistvar=NULLlistnomvar=NULLcarte=NULL criteria=NULLlabel=symbol=0color=1 labvar=axis=FALSElablong= lablat=)

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

kernel Smoothing kernel (see help(bkde) for list of options)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

color 0 or 1 choice of representation of selected points (if user has selected a barplotas an additionnal graph) If 0 sites are represented in blue if 1 sites are repre-sented with different colors for each factor

labvar name of variable var

axis a boolean with True for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

26 densitymap

Details

The user can choose an interval on the density curve by mouse clicking on the graph on the extremi-ties of interval or by specifying directly values The sites selected by an interval are then representedon the map in red The selection of sites on the map by lsquopointsrsquo or lsquopolygonrsquo results in the draw-ing of the kernel densities of the subdistributions corresponding to this subset of sites Finally theuser can modify the bandwith parameter with a cursor in the tcltk window (parameter α) α is thesmoothing parameter for the kernel smooth it represents the mean percentage of sample pointsinvolved in the local averaging (example α = 20 means that on average ntimes 02 points are in anyinterval of length 2h where h is the usual bandwidth)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Venables W N and Ripley B D (2002) ldquoModern Applied Statistics with Srdquo New York Springer

Wand MP et Jones MC (1995) ldquoKernel Smoothingrdquo Chapman amp Hall

See Also

histomap histobarmap scattermap densitymap

Examples

library tcltk and KernSmooth data olcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)densitymap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcolcarte=contoursOLD listnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME)))

data columbusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadensitymap(colombuscontours$Xcolombuscontours$Ycolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

data eiredata(eire)

distchi2 27

data(eirepolys)eirecontourslt-polylist2list(eirepolys)densitymap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

distchi2 It gives an euclidian distance matrix for factors using metric of χ2

Description

The function lsquodistchi2rsquo calculates an euclidian distance matrix for factors using metric of χ2

Usage

distchi2(mat)

Arguments

mat A matrix of factors given as numeric values

Details

The euclidian distance between two individuals i and k using the metric of χ2 is given by

d2χ2 =

n

p

sumj

p

mjsuml

δjlik

1nj

l

with n number of individuals p number of variables mj is the number of possibilities for variableY j nj

l is the number of individuals where l has been observed for Y j and δjlik = 1 if there is a

discordance between i and k for l and 0 otherwise It is not an interactive function

Value

It returns a dist object (see help(dist))

Author(s)

Laurent Thibault

References

Besse Philippe ldquoData mining 2 Modeacutelisation statistique et apprentissagerdquo Publication du LSPhttpwwwlspups-tlsefrBesse

See Also

clustermap

20 dbledensitymap

data avifaunelibrary(ade4)data(mafragh)dlt-distchi2(mafragh$flo)

obslt-clustermap(xlt-mafragh$xy[1]ylt-mafragh$xy[2]d4method=hclusttype=wardlistvar=mafragh$partitionlistnomvar=class)

claslt-obs$vectclasselt-by(dclasmean)glt-rbind(e[1]$1e[2]$2e[3]$3e[4]$4)

clustermap(xlt-mafragh$xy[1]ylt-mafragh$xy[2]d4centers=glistvar=mafragh$partitionlistnomvar=class)

dbledensitymap Double Kernel density estimates and map

Description

The function lsquodbledensitymaprsquo plots two kernel density estimates from var1 and var2 computedwith lsquobkdeRrsquo and a map with sites of coordinates (long lat) Each site is associated to a value ofvar1 and var2 and the two windows are interactive

Usage

dbledensitymap(long lat var1 var2kernel=triweight listvar = NULLlistnomvar = NULL carte = NULL criteria = NULL label = symbol = 0 color = 1 labvar = c(var1 var2) axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of numeric values of size n

var2 a vector of numeric values of size n

kernel Smoothing kernel (see help(bkde) for list of options)

listvar matrix of variables

listnomvar names of variables listvar

dbledensitymap 21

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 choice of representation of selected points (if user has selected a barplotas an additionnal graph) If 0 sites are represented in blue if 1 sites are repre-sented with different colors for each factor

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

labvar list of character with names of variables var1 and var2

axis a boolean with True for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

The user can choose an interval on the density curve by mouse clicking on the lower and upperboundaries of the interval or by giving directly these values The selected sites are then representedon the map in red A selection by lsquopointsrsquo or lsquopolygonrsquo on the map results in the drawing of thedensity of the corresponding sub-distribution on the density plot Finally the user can modify thebandwith parameter with a cursor in the tcltk window (parameter α) α is the smoothing parameterfor the kernel smooth it represents the mean percentage of sample points involved in the localaveraging (example α = 20 means that on average ntimes 02 points are in any interval of length 2hwhere h is the usual bandwidth)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

22 dblehistomap

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Venables W N and Ripley B D (2002) ldquoModern Applied Statistics with Srdquo New York Springer

Wand MP et Jones MC (1995) ldquoKernel Smoothingrdquo Chapman amp Hall

See Also

histomap histobarmap scattermap densitymap

Examples

data aucklanddata(auckland)data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)dbledensitymap(auckland$Eastingauckland$Northingvar1=auckland$Deaths197785var2=auckland$Under51981carte=contoursaucklandlistvar=cbind(aucklandasnumeric(auckland$Deaths197785gtmean(auckland$Deaths197785))) listnomvar=c(names(auckland)sup to mean)labvar=c(Deaths197785Under51981)criteria=(auckland$Deaths197785gtmean(auckland$Deaths197785)))

data columbusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-dbledensitymap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)dbledensitymap(eire$V1eire$V2eire$Aeire$townslabvar=c(Taux dindividus au groupe sanguin ASurface urbaine)carte=eirecontourskernel=normallistvar=eirelistnomvar=names(eire))

dblehistomap Double Interactive Histogram and map

Description

The function lsquodblehistomaprsquo draws two histograms of the given variables var1 and var2 and a mapwith sites of coordinates (long lat) Each site is associated to a value of var1 and var2 and thereis interactivity between the two windows created

dblehistomap 23

Usage

dblehistomap(long lat var1 var2 listvar = NULL listnomvar = NULLnbcol1 = 10 nbcol2 = 10 carte = NULL criteria = NULLsymbol = 0 color = 1 labvar = c( ) label = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of numeric values of size n

var2 a vector of numeric values of size n

listvar matrix of variables

listnomvar names of variables listvar

nbcol1 number of cells for histogram 1 (10 by default)

nbcol2 number of cells for histogram 2 (10 by default)

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

24 densitymap

Details

The selection of sites by lsquopointsrsquo or lsquopolygonsrsquo on the map results in the drawing of the red his-tograms of the subdistributions corresponding to this subset of sites

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap densitymap

Examples

data aucklanddata(auckland)data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)dblehistomap(auckland$Eastingauckland$Northingvar1=auckland$Deaths197785var2=auckland$Under51981carte=contoursaucklandlistvar=cbind(aucklandasnumeric(auckland$Deaths197785gtmean(auckland$Deaths197785)))listnomvar=c(names(auckland)sup to mean)labvar=c(Deaths197785Under51981)criteria=(auckland$Deaths197785gtmean(auckland$Deaths197785)))

data colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadblehistomap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

densitymap Kernel density estimates and map

Description

The function lsquodensitymaprsquo draws kernel density estimates of the variable var with rsquobkdeRrsquo anda map with sites of coordinate (long lat) Each site is associated to a value of var and there isinteractivity between the two windows

densitymap 25

Usage

densitymap(long lat varkernel=triweightlistvar=NULLlistnomvar=NULLcarte=NULL criteria=NULLlabel=symbol=0color=1 labvar=axis=FALSElablong= lablat=)

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

kernel Smoothing kernel (see help(bkde) for list of options)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

color 0 or 1 choice of representation of selected points (if user has selected a barplotas an additionnal graph) If 0 sites are represented in blue if 1 sites are repre-sented with different colors for each factor

labvar name of variable var

axis a boolean with True for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

26 densitymap

Details

The user can choose an interval on the density curve by mouse clicking on the graph on the extremi-ties of interval or by specifying directly values The sites selected by an interval are then representedon the map in red The selection of sites on the map by lsquopointsrsquo or lsquopolygonrsquo results in the draw-ing of the kernel densities of the subdistributions corresponding to this subset of sites Finally theuser can modify the bandwith parameter with a cursor in the tcltk window (parameter α) α is thesmoothing parameter for the kernel smooth it represents the mean percentage of sample pointsinvolved in the local averaging (example α = 20 means that on average ntimes 02 points are in anyinterval of length 2h where h is the usual bandwidth)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Venables W N and Ripley B D (2002) ldquoModern Applied Statistics with Srdquo New York Springer

Wand MP et Jones MC (1995) ldquoKernel Smoothingrdquo Chapman amp Hall

See Also

histomap histobarmap scattermap densitymap

Examples

library tcltk and KernSmooth data olcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)densitymap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcolcarte=contoursOLD listnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME)))

data columbusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadensitymap(colombuscontours$Xcolombuscontours$Ycolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

data eiredata(eire)

distchi2 27

data(eirepolys)eirecontourslt-polylist2list(eirepolys)densitymap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

distchi2 It gives an euclidian distance matrix for factors using metric of χ2

Description

The function lsquodistchi2rsquo calculates an euclidian distance matrix for factors using metric of χ2

Usage

distchi2(mat)

Arguments

mat A matrix of factors given as numeric values

Details

The euclidian distance between two individuals i and k using the metric of χ2 is given by

d2χ2 =

n

p

sumj

p

mjsuml

δjlik

1nj

l

with n number of individuals p number of variables mj is the number of possibilities for variableY j nj

l is the number of individuals where l has been observed for Y j and δjlik = 1 if there is a

discordance between i and k for l and 0 otherwise It is not an interactive function

Value

It returns a dist object (see help(dist))

Author(s)

Laurent Thibault

References

Besse Philippe ldquoData mining 2 Modeacutelisation statistique et apprentissagerdquo Publication du LSPhttpwwwlspups-tlsefrBesse

See Also

clustermap

dbledensitymap 21

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 choice of representation of selected points (if user has selected a barplotas an additionnal graph) If 0 sites are represented in blue if 1 sites are repre-sented with different colors for each factor

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

labvar list of character with names of variables var1 and var2

axis a boolean with True for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

The user can choose an interval on the density curve by mouse clicking on the lower and upperboundaries of the interval or by giving directly these values The selected sites are then representedon the map in red A selection by lsquopointsrsquo or lsquopolygonrsquo on the map results in the drawing of thedensity of the corresponding sub-distribution on the density plot Finally the user can modify thebandwith parameter with a cursor in the tcltk window (parameter α) α is the smoothing parameterfor the kernel smooth it represents the mean percentage of sample points involved in the localaveraging (example α = 20 means that on average ntimes 02 points are in any interval of length 2hwhere h is the usual bandwidth)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

22 dblehistomap

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Venables W N and Ripley B D (2002) ldquoModern Applied Statistics with Srdquo New York Springer

Wand MP et Jones MC (1995) ldquoKernel Smoothingrdquo Chapman amp Hall

See Also

histomap histobarmap scattermap densitymap

Examples

data aucklanddata(auckland)data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)dbledensitymap(auckland$Eastingauckland$Northingvar1=auckland$Deaths197785var2=auckland$Under51981carte=contoursaucklandlistvar=cbind(aucklandasnumeric(auckland$Deaths197785gtmean(auckland$Deaths197785))) listnomvar=c(names(auckland)sup to mean)labvar=c(Deaths197785Under51981)criteria=(auckland$Deaths197785gtmean(auckland$Deaths197785)))

data columbusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-dbledensitymap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)dbledensitymap(eire$V1eire$V2eire$Aeire$townslabvar=c(Taux dindividus au groupe sanguin ASurface urbaine)carte=eirecontourskernel=normallistvar=eirelistnomvar=names(eire))

dblehistomap Double Interactive Histogram and map

Description

The function lsquodblehistomaprsquo draws two histograms of the given variables var1 and var2 and a mapwith sites of coordinates (long lat) Each site is associated to a value of var1 and var2 and thereis interactivity between the two windows created

dblehistomap 23

Usage

dblehistomap(long lat var1 var2 listvar = NULL listnomvar = NULLnbcol1 = 10 nbcol2 = 10 carte = NULL criteria = NULLsymbol = 0 color = 1 labvar = c( ) label = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of numeric values of size n

var2 a vector of numeric values of size n

listvar matrix of variables

listnomvar names of variables listvar

nbcol1 number of cells for histogram 1 (10 by default)

nbcol2 number of cells for histogram 2 (10 by default)

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

24 densitymap

Details

The selection of sites by lsquopointsrsquo or lsquopolygonsrsquo on the map results in the drawing of the red his-tograms of the subdistributions corresponding to this subset of sites

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap densitymap

Examples

data aucklanddata(auckland)data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)dblehistomap(auckland$Eastingauckland$Northingvar1=auckland$Deaths197785var2=auckland$Under51981carte=contoursaucklandlistvar=cbind(aucklandasnumeric(auckland$Deaths197785gtmean(auckland$Deaths197785)))listnomvar=c(names(auckland)sup to mean)labvar=c(Deaths197785Under51981)criteria=(auckland$Deaths197785gtmean(auckland$Deaths197785)))

data colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadblehistomap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

densitymap Kernel density estimates and map

Description

The function lsquodensitymaprsquo draws kernel density estimates of the variable var with rsquobkdeRrsquo anda map with sites of coordinate (long lat) Each site is associated to a value of var and there isinteractivity between the two windows

densitymap 25

Usage

densitymap(long lat varkernel=triweightlistvar=NULLlistnomvar=NULLcarte=NULL criteria=NULLlabel=symbol=0color=1 labvar=axis=FALSElablong= lablat=)

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

kernel Smoothing kernel (see help(bkde) for list of options)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

color 0 or 1 choice of representation of selected points (if user has selected a barplotas an additionnal graph) If 0 sites are represented in blue if 1 sites are repre-sented with different colors for each factor

labvar name of variable var

axis a boolean with True for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

26 densitymap

Details

The user can choose an interval on the density curve by mouse clicking on the graph on the extremi-ties of interval or by specifying directly values The sites selected by an interval are then representedon the map in red The selection of sites on the map by lsquopointsrsquo or lsquopolygonrsquo results in the draw-ing of the kernel densities of the subdistributions corresponding to this subset of sites Finally theuser can modify the bandwith parameter with a cursor in the tcltk window (parameter α) α is thesmoothing parameter for the kernel smooth it represents the mean percentage of sample pointsinvolved in the local averaging (example α = 20 means that on average ntimes 02 points are in anyinterval of length 2h where h is the usual bandwidth)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Venables W N and Ripley B D (2002) ldquoModern Applied Statistics with Srdquo New York Springer

Wand MP et Jones MC (1995) ldquoKernel Smoothingrdquo Chapman amp Hall

See Also

histomap histobarmap scattermap densitymap

Examples

library tcltk and KernSmooth data olcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)densitymap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcolcarte=contoursOLD listnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME)))

data columbusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadensitymap(colombuscontours$Xcolombuscontours$Ycolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

data eiredata(eire)

distchi2 27

data(eirepolys)eirecontourslt-polylist2list(eirepolys)densitymap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

distchi2 It gives an euclidian distance matrix for factors using metric of χ2

Description

The function lsquodistchi2rsquo calculates an euclidian distance matrix for factors using metric of χ2

Usage

distchi2(mat)

Arguments

mat A matrix of factors given as numeric values

Details

The euclidian distance between two individuals i and k using the metric of χ2 is given by

d2χ2 =

n

p

sumj

p

mjsuml

δjlik

1nj

l

with n number of individuals p number of variables mj is the number of possibilities for variableY j nj

l is the number of individuals where l has been observed for Y j and δjlik = 1 if there is a

discordance between i and k for l and 0 otherwise It is not an interactive function

Value

It returns a dist object (see help(dist))

Author(s)

Laurent Thibault

References

Besse Philippe ldquoData mining 2 Modeacutelisation statistique et apprentissagerdquo Publication du LSPhttpwwwlspups-tlsefrBesse

See Also

clustermap

22 dblehistomap

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Venables W N and Ripley B D (2002) ldquoModern Applied Statistics with Srdquo New York Springer

Wand MP et Jones MC (1995) ldquoKernel Smoothingrdquo Chapman amp Hall

See Also

histomap histobarmap scattermap densitymap

Examples

data aucklanddata(auckland)data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)dbledensitymap(auckland$Eastingauckland$Northingvar1=auckland$Deaths197785var2=auckland$Under51981carte=contoursaucklandlistvar=cbind(aucklandasnumeric(auckland$Deaths197785gtmean(auckland$Deaths197785))) listnomvar=c(names(auckland)sup to mean)labvar=c(Deaths197785Under51981)criteria=(auckland$Deaths197785gtmean(auckland$Deaths197785)))

data columbusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-dbledensitymap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)dbledensitymap(eire$V1eire$V2eire$Aeire$townslabvar=c(Taux dindividus au groupe sanguin ASurface urbaine)carte=eirecontourskernel=normallistvar=eirelistnomvar=names(eire))

dblehistomap Double Interactive Histogram and map

Description

The function lsquodblehistomaprsquo draws two histograms of the given variables var1 and var2 and a mapwith sites of coordinates (long lat) Each site is associated to a value of var1 and var2 and thereis interactivity between the two windows created

dblehistomap 23

Usage

dblehistomap(long lat var1 var2 listvar = NULL listnomvar = NULLnbcol1 = 10 nbcol2 = 10 carte = NULL criteria = NULLsymbol = 0 color = 1 labvar = c( ) label = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of numeric values of size n

var2 a vector of numeric values of size n

listvar matrix of variables

listnomvar names of variables listvar

nbcol1 number of cells for histogram 1 (10 by default)

nbcol2 number of cells for histogram 2 (10 by default)

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

24 densitymap

Details

The selection of sites by lsquopointsrsquo or lsquopolygonsrsquo on the map results in the drawing of the red his-tograms of the subdistributions corresponding to this subset of sites

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap densitymap

Examples

data aucklanddata(auckland)data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)dblehistomap(auckland$Eastingauckland$Northingvar1=auckland$Deaths197785var2=auckland$Under51981carte=contoursaucklandlistvar=cbind(aucklandasnumeric(auckland$Deaths197785gtmean(auckland$Deaths197785)))listnomvar=c(names(auckland)sup to mean)labvar=c(Deaths197785Under51981)criteria=(auckland$Deaths197785gtmean(auckland$Deaths197785)))

data colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadblehistomap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

densitymap Kernel density estimates and map

Description

The function lsquodensitymaprsquo draws kernel density estimates of the variable var with rsquobkdeRrsquo anda map with sites of coordinate (long lat) Each site is associated to a value of var and there isinteractivity between the two windows

densitymap 25

Usage

densitymap(long lat varkernel=triweightlistvar=NULLlistnomvar=NULLcarte=NULL criteria=NULLlabel=symbol=0color=1 labvar=axis=FALSElablong= lablat=)

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

kernel Smoothing kernel (see help(bkde) for list of options)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

color 0 or 1 choice of representation of selected points (if user has selected a barplotas an additionnal graph) If 0 sites are represented in blue if 1 sites are repre-sented with different colors for each factor

labvar name of variable var

axis a boolean with True for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

26 densitymap

Details

The user can choose an interval on the density curve by mouse clicking on the graph on the extremi-ties of interval or by specifying directly values The sites selected by an interval are then representedon the map in red The selection of sites on the map by lsquopointsrsquo or lsquopolygonrsquo results in the draw-ing of the kernel densities of the subdistributions corresponding to this subset of sites Finally theuser can modify the bandwith parameter with a cursor in the tcltk window (parameter α) α is thesmoothing parameter for the kernel smooth it represents the mean percentage of sample pointsinvolved in the local averaging (example α = 20 means that on average ntimes 02 points are in anyinterval of length 2h where h is the usual bandwidth)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Venables W N and Ripley B D (2002) ldquoModern Applied Statistics with Srdquo New York Springer

Wand MP et Jones MC (1995) ldquoKernel Smoothingrdquo Chapman amp Hall

See Also

histomap histobarmap scattermap densitymap

Examples

library tcltk and KernSmooth data olcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)densitymap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcolcarte=contoursOLD listnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME)))

data columbusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadensitymap(colombuscontours$Xcolombuscontours$Ycolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

data eiredata(eire)

distchi2 27

data(eirepolys)eirecontourslt-polylist2list(eirepolys)densitymap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

distchi2 It gives an euclidian distance matrix for factors using metric of χ2

Description

The function lsquodistchi2rsquo calculates an euclidian distance matrix for factors using metric of χ2

Usage

distchi2(mat)

Arguments

mat A matrix of factors given as numeric values

Details

The euclidian distance between two individuals i and k using the metric of χ2 is given by

d2χ2 =

n

p

sumj

p

mjsuml

δjlik

1nj

l

with n number of individuals p number of variables mj is the number of possibilities for variableY j nj

l is the number of individuals where l has been observed for Y j and δjlik = 1 if there is a

discordance between i and k for l and 0 otherwise It is not an interactive function

Value

It returns a dist object (see help(dist))

Author(s)

Laurent Thibault

References

Besse Philippe ldquoData mining 2 Modeacutelisation statistique et apprentissagerdquo Publication du LSPhttpwwwlspups-tlsefrBesse

See Also

clustermap

dblehistomap 23

Usage

dblehistomap(long lat var1 var2 listvar = NULL listnomvar = NULLnbcol1 = 10 nbcol2 = 10 carte = NULL criteria = NULLsymbol = 0 color = 1 labvar = c( ) label = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of numeric values of size n

var2 a vector of numeric values of size n

listvar matrix of variables

listnomvar names of variables listvar

nbcol1 number of cells for histogram 1 (10 by default)

nbcol2 number of cells for histogram 2 (10 by default)

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

24 densitymap

Details

The selection of sites by lsquopointsrsquo or lsquopolygonsrsquo on the map results in the drawing of the red his-tograms of the subdistributions corresponding to this subset of sites

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap densitymap

Examples

data aucklanddata(auckland)data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)dblehistomap(auckland$Eastingauckland$Northingvar1=auckland$Deaths197785var2=auckland$Under51981carte=contoursaucklandlistvar=cbind(aucklandasnumeric(auckland$Deaths197785gtmean(auckland$Deaths197785)))listnomvar=c(names(auckland)sup to mean)labvar=c(Deaths197785Under51981)criteria=(auckland$Deaths197785gtmean(auckland$Deaths197785)))

data colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadblehistomap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

densitymap Kernel density estimates and map

Description

The function lsquodensitymaprsquo draws kernel density estimates of the variable var with rsquobkdeRrsquo anda map with sites of coordinate (long lat) Each site is associated to a value of var and there isinteractivity between the two windows

densitymap 25

Usage

densitymap(long lat varkernel=triweightlistvar=NULLlistnomvar=NULLcarte=NULL criteria=NULLlabel=symbol=0color=1 labvar=axis=FALSElablong= lablat=)

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

kernel Smoothing kernel (see help(bkde) for list of options)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

color 0 or 1 choice of representation of selected points (if user has selected a barplotas an additionnal graph) If 0 sites are represented in blue if 1 sites are repre-sented with different colors for each factor

labvar name of variable var

axis a boolean with True for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

26 densitymap

Details

The user can choose an interval on the density curve by mouse clicking on the graph on the extremi-ties of interval or by specifying directly values The sites selected by an interval are then representedon the map in red The selection of sites on the map by lsquopointsrsquo or lsquopolygonrsquo results in the draw-ing of the kernel densities of the subdistributions corresponding to this subset of sites Finally theuser can modify the bandwith parameter with a cursor in the tcltk window (parameter α) α is thesmoothing parameter for the kernel smooth it represents the mean percentage of sample pointsinvolved in the local averaging (example α = 20 means that on average ntimes 02 points are in anyinterval of length 2h where h is the usual bandwidth)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Venables W N and Ripley B D (2002) ldquoModern Applied Statistics with Srdquo New York Springer

Wand MP et Jones MC (1995) ldquoKernel Smoothingrdquo Chapman amp Hall

See Also

histomap histobarmap scattermap densitymap

Examples

library tcltk and KernSmooth data olcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)densitymap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcolcarte=contoursOLD listnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME)))

data columbusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadensitymap(colombuscontours$Xcolombuscontours$Ycolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

data eiredata(eire)

distchi2 27

data(eirepolys)eirecontourslt-polylist2list(eirepolys)densitymap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

distchi2 It gives an euclidian distance matrix for factors using metric of χ2

Description

The function lsquodistchi2rsquo calculates an euclidian distance matrix for factors using metric of χ2

Usage

distchi2(mat)

Arguments

mat A matrix of factors given as numeric values

Details

The euclidian distance between two individuals i and k using the metric of χ2 is given by

d2χ2 =

n

p

sumj

p

mjsuml

δjlik

1nj

l

with n number of individuals p number of variables mj is the number of possibilities for variableY j nj

l is the number of individuals where l has been observed for Y j and δjlik = 1 if there is a

discordance between i and k for l and 0 otherwise It is not an interactive function

Value

It returns a dist object (see help(dist))

Author(s)

Laurent Thibault

References

Besse Philippe ldquoData mining 2 Modeacutelisation statistique et apprentissagerdquo Publication du LSPhttpwwwlspups-tlsefrBesse

See Also

clustermap

24 densitymap

Details

The selection of sites by lsquopointsrsquo or lsquopolygonsrsquo on the map results in the drawing of the red his-tograms of the subdistributions corresponding to this subset of sites

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap densitymap

Examples

data aucklanddata(auckland)data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)dblehistomap(auckland$Eastingauckland$Northingvar1=auckland$Deaths197785var2=auckland$Under51981carte=contoursaucklandlistvar=cbind(aucklandasnumeric(auckland$Deaths197785gtmean(auckland$Deaths197785)))listnomvar=c(names(auckland)sup to mean)labvar=c(Deaths197785Under51981)criteria=(auckland$Deaths197785gtmean(auckland$Deaths197785)))

data colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadblehistomap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

densitymap Kernel density estimates and map

Description

The function lsquodensitymaprsquo draws kernel density estimates of the variable var with rsquobkdeRrsquo anda map with sites of coordinate (long lat) Each site is associated to a value of var and there isinteractivity between the two windows

densitymap 25

Usage

densitymap(long lat varkernel=triweightlistvar=NULLlistnomvar=NULLcarte=NULL criteria=NULLlabel=symbol=0color=1 labvar=axis=FALSElablong= lablat=)

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

kernel Smoothing kernel (see help(bkde) for list of options)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

color 0 or 1 choice of representation of selected points (if user has selected a barplotas an additionnal graph) If 0 sites are represented in blue if 1 sites are repre-sented with different colors for each factor

labvar name of variable var

axis a boolean with True for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

26 densitymap

Details

The user can choose an interval on the density curve by mouse clicking on the graph on the extremi-ties of interval or by specifying directly values The sites selected by an interval are then representedon the map in red The selection of sites on the map by lsquopointsrsquo or lsquopolygonrsquo results in the draw-ing of the kernel densities of the subdistributions corresponding to this subset of sites Finally theuser can modify the bandwith parameter with a cursor in the tcltk window (parameter α) α is thesmoothing parameter for the kernel smooth it represents the mean percentage of sample pointsinvolved in the local averaging (example α = 20 means that on average ntimes 02 points are in anyinterval of length 2h where h is the usual bandwidth)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Venables W N and Ripley B D (2002) ldquoModern Applied Statistics with Srdquo New York Springer

Wand MP et Jones MC (1995) ldquoKernel Smoothingrdquo Chapman amp Hall

See Also

histomap histobarmap scattermap densitymap

Examples

library tcltk and KernSmooth data olcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)densitymap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcolcarte=contoursOLD listnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME)))

data columbusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadensitymap(colombuscontours$Xcolombuscontours$Ycolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

data eiredata(eire)

distchi2 27

data(eirepolys)eirecontourslt-polylist2list(eirepolys)densitymap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

distchi2 It gives an euclidian distance matrix for factors using metric of χ2

Description

The function lsquodistchi2rsquo calculates an euclidian distance matrix for factors using metric of χ2

Usage

distchi2(mat)

Arguments

mat A matrix of factors given as numeric values

Details

The euclidian distance between two individuals i and k using the metric of χ2 is given by

d2χ2 =

n

p

sumj

p

mjsuml

δjlik

1nj

l

with n number of individuals p number of variables mj is the number of possibilities for variableY j nj

l is the number of individuals where l has been observed for Y j and δjlik = 1 if there is a

discordance between i and k for l and 0 otherwise It is not an interactive function

Value

It returns a dist object (see help(dist))

Author(s)

Laurent Thibault

References

Besse Philippe ldquoData mining 2 Modeacutelisation statistique et apprentissagerdquo Publication du LSPhttpwwwlspups-tlsefrBesse

See Also

clustermap

densitymap 25

Usage

densitymap(long lat varkernel=triweightlistvar=NULLlistnomvar=NULLcarte=NULL criteria=NULLlabel=symbol=0color=1 labvar=axis=FALSElablong= lablat=)

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

kernel Smoothing kernel (see help(bkde) for list of options)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

color 0 or 1 choice of representation of selected points (if user has selected a barplotas an additionnal graph) If 0 sites are represented in blue if 1 sites are repre-sented with different colors for each factor

labvar name of variable var

axis a boolean with True for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

26 densitymap

Details

The user can choose an interval on the density curve by mouse clicking on the graph on the extremi-ties of interval or by specifying directly values The sites selected by an interval are then representedon the map in red The selection of sites on the map by lsquopointsrsquo or lsquopolygonrsquo results in the draw-ing of the kernel densities of the subdistributions corresponding to this subset of sites Finally theuser can modify the bandwith parameter with a cursor in the tcltk window (parameter α) α is thesmoothing parameter for the kernel smooth it represents the mean percentage of sample pointsinvolved in the local averaging (example α = 20 means that on average ntimes 02 points are in anyinterval of length 2h where h is the usual bandwidth)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Venables W N and Ripley B D (2002) ldquoModern Applied Statistics with Srdquo New York Springer

Wand MP et Jones MC (1995) ldquoKernel Smoothingrdquo Chapman amp Hall

See Also

histomap histobarmap scattermap densitymap

Examples

library tcltk and KernSmooth data olcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)densitymap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcolcarte=contoursOLD listnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME)))

data columbusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadensitymap(colombuscontours$Xcolombuscontours$Ycolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

data eiredata(eire)

distchi2 27

data(eirepolys)eirecontourslt-polylist2list(eirepolys)densitymap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

distchi2 It gives an euclidian distance matrix for factors using metric of χ2

Description

The function lsquodistchi2rsquo calculates an euclidian distance matrix for factors using metric of χ2

Usage

distchi2(mat)

Arguments

mat A matrix of factors given as numeric values

Details

The euclidian distance between two individuals i and k using the metric of χ2 is given by

d2χ2 =

n

p

sumj

p

mjsuml

δjlik

1nj

l

with n number of individuals p number of variables mj is the number of possibilities for variableY j nj

l is the number of individuals where l has been observed for Y j and δjlik = 1 if there is a

discordance between i and k for l and 0 otherwise It is not an interactive function

Value

It returns a dist object (see help(dist))

Author(s)

Laurent Thibault

References

Besse Philippe ldquoData mining 2 Modeacutelisation statistique et apprentissagerdquo Publication du LSPhttpwwwlspups-tlsefrBesse

See Also

clustermap

26 densitymap

Details

The user can choose an interval on the density curve by mouse clicking on the graph on the extremi-ties of interval or by specifying directly values The sites selected by an interval are then representedon the map in red The selection of sites on the map by lsquopointsrsquo or lsquopolygonrsquo results in the draw-ing of the kernel densities of the subdistributions corresponding to this subset of sites Finally theuser can modify the bandwith parameter with a cursor in the tcltk window (parameter α) α is thesmoothing parameter for the kernel smooth it represents the mean percentage of sample pointsinvolved in the local averaging (example α = 20 means that on average ntimes 02 points are in anyinterval of length 2h where h is the usual bandwidth)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Venables W N and Ripley B D (2002) ldquoModern Applied Statistics with Srdquo New York Springer

Wand MP et Jones MC (1995) ldquoKernel Smoothingrdquo Chapman amp Hall

See Also

histomap histobarmap scattermap densitymap

Examples

library tcltk and KernSmooth data olcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)densitymap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcolcarte=contoursOLD listnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME)))

data columbusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdatadensitymap(colombuscontours$Xcolombuscontours$Ycolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

data eiredata(eire)

distchi2 27

data(eirepolys)eirecontourslt-polylist2list(eirepolys)densitymap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

distchi2 It gives an euclidian distance matrix for factors using metric of χ2

Description

The function lsquodistchi2rsquo calculates an euclidian distance matrix for factors using metric of χ2

Usage

distchi2(mat)

Arguments

mat A matrix of factors given as numeric values

Details

The euclidian distance between two individuals i and k using the metric of χ2 is given by

d2χ2 =

n

p

sumj

p

mjsuml

δjlik

1nj

l

with n number of individuals p number of variables mj is the number of possibilities for variableY j nj

l is the number of individuals where l has been observed for Y j and δjlik = 1 if there is a

discordance between i and k for l and 0 otherwise It is not an interactive function

Value

It returns a dist object (see help(dist))

Author(s)

Laurent Thibault

References

Besse Philippe ldquoData mining 2 Modeacutelisation statistique et apprentissagerdquo Publication du LSPhttpwwwlspups-tlsefrBesse

See Also

clustermap

distchi2 27

data(eirepolys)eirecontourslt-polylist2list(eirepolys)densitymap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

distchi2 It gives an euclidian distance matrix for factors using metric of χ2

Description

The function lsquodistchi2rsquo calculates an euclidian distance matrix for factors using metric of χ2

Usage

distchi2(mat)

Arguments

mat A matrix of factors given as numeric values

Details

The euclidian distance between two individuals i and k using the metric of χ2 is given by

d2χ2 =

n

p

sumj

p

mjsuml

δjlik

1nj

l

with n number of individuals p number of variables mj is the number of possibilities for variableY j nj

l is the number of individuals where l has been observed for Y j and δjlik = 1 if there is a

discordance between i and k for l and 0 otherwise It is not an interactive function

Value

It returns a dist object (see help(dist))

Author(s)

Laurent Thibault

References

Besse Philippe ldquoData mining 2 Modeacutelisation statistique et apprentissagerdquo Publication du LSPhttpwwwlspups-tlsefrBesse

See Also

clustermap

28 driftmap

driftmap Detection of an eventual trend

Description

The function lsquodriftmaprsquo creates a grid on the map and calculates the mean and median for each cellThe right plot (resp left plot) represents means and medians calculated by row (resp column)

Usage

driftmap(long lat var interpol = 1nuage = 0 carte = NULLlablong = lablat = labvar = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

interpol if 1 the mean and median calculated are linearly interpoled

nuage if 1 the individuals are also represented on the graphics

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

labvar name of variable lsquovarrsquo

Details

Possibility to change the number of cells in the grid with the tcltk window to interpolate the meansand medians calculated (by default) to work on a rotated map Notice that this is not an interactivefunction

Value

No values returned only drawing of a graphic

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

eire 29

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

angleplotmapvariocloudmaprotation

Examples

data aucklanddata(auckland)data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)driftmap(auckland$Eastingauckland$Northingauckland$Deaths197785interpol=0nuage=1lablong=Xlablat=Ylabvar=Deaths197785)

data afcondata(afcon)driftmap(afcon$xafcon$yafcon$totconinterpol=0nuage=1lablong=Xlablat=Ylabvar=Number of conflicts)

data meusedata(meuseall)data(meuseriv)driftmap(meuseall$xmeuseall$ymeuseall$coppernuage=1lablong=Xlablat=Ylabvar=Concentration de cuivre (en ppm))

eire Eire data sets

Description

The lsquoeirersquo data frame has 26 rows and 11 columns

Usage

data(eire)

Format

A data frame with 26 observations on the following 11 variables

V1 a vector x of size n

V2 a vector y of size n

A Percentage of sample with blood group A

towns Townsunit area

pale Beyond the Pale 0 within the Pale 1

size number of blood type samples

ROADACC arterial road network accessibility in 1961

30 eirepolys

OWNCONS percentage in value terms of gross agricultural output of each county consumed by itself

POPCHG 1961 population as percentage of 1926

RETSALE value of retail sales c000

INCOME total personal income c000

Details

This data provides from spdep package

Source

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

Upton and Fingleton 1985 Bailey and Gatrell 1995 ch 1 for blood group data Cliff and Ord(1973) p 107 for remaining variables (also after OrsquoSullivan 1968) ldquoPolygon borders and Irishdata sourced from Michael Tiefelsdorfrsquos SPSS Saddlepointrdquo

Examples

data(eire)

eirepolys Spatial polygonal contours of eire dataset

Description

A lsquopolylistrsquo object for drawing spatial polygonal contours of eiredataset

Usage

data(eirepolys)

Format

The format is a list of polygons of class polylist

Details

This object is used in the lsquospdeprsquo package created by Roger Bivand In the lsquoGeoXprsquo packagewe donrsquot use lsquopolylistrsquo lsquoSpatialPolygonrsquo or rsquoMaprsquo object because a site can only be representedby a pair of coordinates and not by a polygonnal contour However users have the possibility torepesent spatial polygonal contours as a backgroud map Thatrsquos why we create functions lsquosp2listrsquolsquopolylist2listrsquo and lsquomap2listrsquo for extracting from a spatial object only the vertices of the polygons

Source

Upton and Fingleton 1985 Bailey and Gatrell 1995 ch 1 for blood group data Cliff and Ord(1973) p 107 for remaining variables (also after OrsquoSullivan 1968) ldquoPolygon borders and Irishdata sourced from Michael Tiefelsdorfrsquos SPSS Saddlepointrdquo

eire 29

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

angleplotmapvariocloudmaprotation

Examples

data aucklanddata(auckland)data(auckpolys)contoursaucklandlt-polylist2list(auckpolys)driftmap(auckland$Eastingauckland$Northingauckland$Deaths197785interpol=0nuage=1lablong=Xlablat=Ylabvar=Deaths197785)

data afcondata(afcon)driftmap(afcon$xafcon$yafcon$totconinterpol=0nuage=1lablong=Xlablat=Ylabvar=Number of conflicts)

data meusedata(meuseall)data(meuseriv)driftmap(meuseall$xmeuseall$ymeuseall$coppernuage=1lablong=Xlablat=Ylabvar=Concentration de cuivre (en ppm))

eire Eire data sets

Description

The lsquoeirersquo data frame has 26 rows and 11 columns

Usage

data(eire)

Format

A data frame with 26 observations on the following 11 variables

V1 a vector x of size n

V2 a vector y of size n

A Percentage of sample with blood group A

towns Townsunit area

pale Beyond the Pale 0 within the Pale 1

size number of blood type samples

ROADACC arterial road network accessibility in 1961

30 eirepolys

OWNCONS percentage in value terms of gross agricultural output of each county consumed by itself

POPCHG 1961 population as percentage of 1926

RETSALE value of retail sales c000

INCOME total personal income c000

Details

This data provides from spdep package

Source

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

Upton and Fingleton 1985 Bailey and Gatrell 1995 ch 1 for blood group data Cliff and Ord(1973) p 107 for remaining variables (also after OrsquoSullivan 1968) ldquoPolygon borders and Irishdata sourced from Michael Tiefelsdorfrsquos SPSS Saddlepointrdquo

Examples

data(eire)

eirepolys Spatial polygonal contours of eire dataset

Description

A lsquopolylistrsquo object for drawing spatial polygonal contours of eiredataset

Usage

data(eirepolys)

Format

The format is a list of polygons of class polylist

Details

This object is used in the lsquospdeprsquo package created by Roger Bivand In the lsquoGeoXprsquo packagewe donrsquot use lsquopolylistrsquo lsquoSpatialPolygonrsquo or rsquoMaprsquo object because a site can only be representedby a pair of coordinates and not by a polygonnal contour However users have the possibility torepesent spatial polygonal contours as a backgroud map Thatrsquos why we create functions lsquosp2listrsquolsquopolylist2listrsquo and lsquomap2listrsquo for extracting from a spatial object only the vertices of the polygons

Source

Upton and Fingleton 1985 Bailey and Gatrell 1995 ch 1 for blood group data Cliff and Ord(1973) p 107 for remaining variables (also after OrsquoSullivan 1968) ldquoPolygon borders and Irishdata sourced from Michael Tiefelsdorfrsquos SPSS Saddlepointrdquo

30 eirepolys

OWNCONS percentage in value terms of gross agricultural output of each county consumed by itself

POPCHG 1961 population as percentage of 1926

RETSALE value of retail sales c000

INCOME total personal income c000

Details

This data provides from spdep package

Source

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

Upton and Fingleton 1985 Bailey and Gatrell 1995 ch 1 for blood group data Cliff and Ord(1973) p 107 for remaining variables (also after OrsquoSullivan 1968) ldquoPolygon borders and Irishdata sourced from Michael Tiefelsdorfrsquos SPSS Saddlepointrdquo

Examples

data(eire)

eirepolys Spatial polygonal contours of eire dataset

Description

A lsquopolylistrsquo object for drawing spatial polygonal contours of eiredataset

Usage

data(eirepolys)

Format

The format is a list of polygons of class polylist

Details

This object is used in the lsquospdeprsquo package created by Roger Bivand In the lsquoGeoXprsquo packagewe donrsquot use lsquopolylistrsquo lsquoSpatialPolygonrsquo or rsquoMaprsquo object because a site can only be representedby a pair of coordinates and not by a polygonnal contour However users have the possibility torepesent spatial polygonal contours as a backgroud map Thatrsquos why we create functions lsquosp2listrsquolsquopolylist2listrsquo and lsquomap2listrsquo for extracting from a spatial object only the vertices of the polygons

Source

Upton and Fingleton 1985 Bailey and Gatrell 1995 ch 1 for blood group data Cliff and Ord(1973) p 107 for remaining variables (also after OrsquoSullivan 1968) ldquoPolygon borders and Irishdata sourced from Michael Tiefelsdorfrsquos SPSS Saddlepointrdquo

findneighbors 31

References

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

Examples

data(eirepolys)eirecontourslt-polylist2list(eirepolys)

findneighbors Research of the m nearest neighbors for sites

Description

The function lsquofindneighborsrsquo gives for each site of coordinates (xc yc) the m nearest neighbors inthe set of sites

Usage

findneighbors(xc yc m)

Arguments

xc a numerical vector x of size n

yc a numerical vector y of size n

m number of nearest neighbors

Details

In case of ties the nearest neighbor is randomly chosen among the ties This function is called inmakeneighborswr

Value

A matrix of size ntimes n containing 1 on position (i j) if j is m-nearest neighbour to i

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapmakedistanceWmakeneighborsw

32 genpca

Examples

data(auckland)Wlt-findneighbors(auckland$Eastingauckland$Northing1)

genpca Generalized Principal Component Analysis (PCA)

Description

The function lsquogenpcarsquo computes a generalized Principal Component Analysis (PCA) It calculatesthe principal components the coordinates of the variables and in these principals components axesand the inertia of these principal components

Usage

genpca(data w=rep(1nrow(data)length=nrow(data)) m=diag(1ncol(data)ncol(data))center=TRUE reduc=TRUE)

Arguments

data matrix ntimes p

w vector of size n of weight (by default weight = t(1n 1n))

m matrix ptimes p (by default metric=Identity matrix)

center boolean if TRUE centered PCA (by default center=TRUE)

reduc boolean if TRUE reduced PCA (by default reduce=TRUE)

Details

LetW = diag(w)

x = data = (xprime1 x

primen)prime

withxi = (x1

i xpi )

Let1n = (1 1)prime

with n rows and 1p = (1 1)prime

with p rows Normalization of weight

wi =wisumi wi

genpca 33

Vector of means x = (x1 xp)prime

withxj =

sumi

wixji

If center=Truexc = xminus 1nxprime

Standart deviation (σj)2 =

sumi

wi(xji )

2 minus (xj)2

Σ = diag((σ1)2 (σp)2)prime

If reduc=True xcr = xc times Σminus12

Variance-Covariance matrix

C = xprimecrWxcr

Cholesky decomposition M = LLprime where M=mLet

Cl = LCLprime

Let U and D as ClU = UD

with D = diag(λ1 λp)Let

V = LprimeU

Then Coordinates of individuals in the principals components basis

CC = xcrV

Coordinates of variables in principals components

V C = CV Dminus12

Inertia I = D1p

Value

Returns lsquoinertiarsquo vector of size p with percent of inertia of each component (corresponding to I)lsquocasecoordrsquo matrix ntimes p (corresponding to matrix CC) lsquovarcoordrsquo matrix ptimes p (corresponding tomatrix V C)

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

34 gini

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Caussinus H Fekri M Hakam S Ruiz-Gazen A (2003) ldquoA monitoring display of MultivariateOutliersrdquo Computational Statistics and Data Analysis vol 44 1-2 237-252

See Also

clustermappcamap

gini Calculates a Gini Index

Description

The function lsquoginirsquo calculates the Gini Index associated to the variable lsquovarrsquo

Usage

gini(var)

Arguments

var a vector of numerical values of size n

Details

Let xk k = 1 K be the distinct values taken by V ar For each site Ginir returns two pairs offrequencies The pair (f g) where f represents

fk =1n

sumi

1(V ari = xk)

(n is the length of lsquovarrsquo) and g represents

gk =xk

xfk

The pair (FG) represents the corresponding cumulative frequenciesThe Gini Index is calculated as

IG =12x

Ksumi=1

Ksumj=1

|xi minus xj |

Value

(f F g G gini) where f F g and G are vectors of size K and gini a numeric value

Note

This function is used in ginimapR but it is not an interactive function

ginimap 35

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

ginimap

ginimap Lorentz curve and map

Description

The function lsquoginimaprsquo computes a Lorentz curve from rsquovarrsquo and calculates the Gini Index associ-ated to var

Usage

ginimap(long lat var listvar = NULL listnomvar = NULLcarte = NULL criteria = NULL label = symbol = 0color = 1 labvar = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

listvar matrix of variables

listnomvar names of variables in listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

36 ginimap

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

labvar name of var

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

axis a boolean with TRUEfor drawing axes on the map

Details

Users have the possibility to choose a threshold by mouse clicking on the Lorentz curve or byspecifying it in the menu The corresponding pair (FG) and the value of lsquovarrsquo are then printed onthe graph and the sites with a value of lsquovarrsquo lower or equal to the threshold are then selected on themap

Note

The Gini Index is given in the tcltk window (see function ginir for the formula used to calculate it)

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

gini

Examples

donneacutees eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)obslt-ginimap(eire$V1eire$V2eire$INCOMElistvar=eirelistnomvar=names(eire)carte=eirecontours)

graphique 37

graphique Drawing a graphic

Description

The function lsquographiquersquo draws a specific graphic Possibility to draw one of these graphics His-togram Barplot Boxplot Polyboxplot Scatterplot Densityplot Neighbourplot Lorentz MoranAngleplot Variocloud Cluster and PCA (graphics of individuals and variables) This function iscalled in most of the functions of GeoXp (this is not an interactive function)

Usage

graphique(var1 var2 var3 obsnumgraph=couleurs= symbol=0col=0 labvar=nbcol=10 alpha1 W Xpoly Ypoly F G opt1=1opt2=1 quantiles=05 labmod= directinertielabel=0kernel obsq locmoran=0bin=NULL)

Arguments

var1 1st variable of size n

var2 2nd variable of size n

var3 3rd variable of size n (used for variocloudmap)

obs a vector of boolean of size n with sites selected

num number of windows which must be activated (3 ou 4)

graph name of graphic which must be drawn Histogram Barplot Boxplot Polybox-plot Scatterplot Densityplot1 Densityplot2 Neighbourplot Lorentz MoranQuadrant Angleplot Variocloud Cluster Acp1 Acp2

couleurs Possibilty to change colors (for admin only)

symbol 0 or 1 choice of representation of points selected (0 selected points are in redor 1 selectd points are stars)

col 0 or 1 choice of representation of points selected (0 sites are represented inblue and 1 sites are represented with different colors for each factor)

labvar name(s) of variable(s) studied

nbcol number of cells if the graphic choosen is the histogram (10 by default)

38 graphique

alpha1 regression smoothing paramater

W Spatial weight matrix

Xpoly x-coordinates of the vertices of selected polygon

Ypoly y-coordinates of the vertices of selected polygon

F Used for Ginimap

G Used for Ginimap

opt1 Option for scattermap (1 graphic only 2 drawing of the conditionnal medianregression spline 3 drawing of the conditionnal quantile regression spline (userhas to give option quantiles))

opt2 Option for drawing robust empirical variogram

quantiles vector which contains the values of α for conditionnal quantile

labmod names of factor if the graphic choosed is a barplot

direct Used for PCA

inertie Used for PCA

label Name of sites

kernel Name of the kernel choosed in densitymap

obsq Used for clustermap and barmap

locmoran Print local moran for each site

bin The bins chosen to calculte empirical variogram

Details

This function is called by any function which draws a graphic A lot of options are consideredbecause of the large number of graphics proposed

histobarmap 39

Value

No values only drawing of a graphic

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

histobarmap Histogram barplot and map

Description

The function lsquohistobarmaprsquo draws a bar plot (vertical bar) of the given variable var1 a histogramof the given variable var2 and a map with sites of coordinates (long lat)

Usage

histobarmap(long lat var1 var2 criteria = NULLcarte = NULL label = symbol = 0 color = 1nbcol = 10 labvar = c( ) labmod = listvar = NULL listnomvar = NULL axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of factor of size n

var2 a vector of numerical values of size n

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with name of each site

40 histobarmap

color 0 or 1 choice of representation of selected points If 0 sites are represented inblue if 1 sites are represented with different colors for each factor of var1

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

nbcol number of cells for histogram (10 by default)

labvar list of names for variable lsquovar1rsquo and lsquovar2rsquo

labmod names of factors lsquovarrsquo

listvar matrix of variables fo size ntimes p for optional additional graph and bubbles

listnomvar list of character of size p with names of variables in rsquolistvarrsquo

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Each site is associated to a factor of var1 and to a value of var2 There is interactivity betweenthe three windows created the sites selected by a bar on the bar plot or on the histogram arerepresented on the map in red and the value and factor of sites selected on the map are representedin red on the bar plot and on the histogram

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap dbledensitymap

histomap 41

Examples

Data Colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-histobarmap(colombuscontours$Xcolombuscontours$Ycolombus$CPcolombus$HOVALlabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

Data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histobarmap(eire$V1eire$V2eire$paleeire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Appartenance agravela reacutegion du Palelabmod=c(Hors PalePale))

histomap Interactive Histogram and map

Description

The function lsquohistomaprsquo draws a histogram of the given variable var and a map with sites of coor-dinates (long lat) Each site is associated to a value of var and there is interactivity between thetwo windows

Usage

histomap(long lat var nbcol = 10 listvar = NULLlistnomvar = NULL criteria = NULL carte = NULL label = symbol = 0 color = 1 labvar = axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

nbcol number of cells for histogram (10 by default)

listvar matrix of variables

listnomvar names of variables listvar

42 histomap

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Sites selected by a bar on the histogram are represented on the map in red and the values of sitesselected on the map by lsquopointsrsquo or lsquopolygonrsquo are represented in red as a sub-histogram on thehistogram

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

histomap histobarmap scattermap densitymap

makedistanceW 43

Examples

data oldcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)histomap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcollistnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME))carte=contoursOLD)

data afcondata(afcon)histomap(afcon$xafcon$yafcon$totconlistvar=afconlistnomvar=names(afcon)criteria=(afcon$totcongtmean(afcon$totcon))label=afcon$name)

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histomap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

makedistanceW Spatial weight matrix based on distance threshold

Description

The function lsquomakedistanceWrsquo creates a spatial weight matrix based on a threshold distance as-signy 1 if the distance between the two sites is lower or equal to a given threshold and 0 otherwise

Usage

makedistanceW(x y distance)

Arguments

x a vector x of size n

y a vector y of size n

distance threshold point

Details

If site i is seperated from j by a distance lower or equal to a given threshold

Wij = 1

elseWij = 0

44 makeneighborsw

Value

A matrix W of size ntimes n containing 0 and 1

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapmakeneighborswnormwfindneighbors

Examples

data aucklanddata(auckland)Wlt-makedistanceW(auckland$Eastingauckland$Northing5)

makeneighborsw Spatial weight matrix based on nearest neighbors

Description

The function lsquomakeneighborswrsquo creates a spatial weight matrix based on a given number of nearestneighbors

Usage

makeneighborsw(xc yc m cum = TRUE)

Arguments

xc a vector x of size n

yc a vector y of size n

m number of nearest neighbors

cum if cum=TRUE W is the sum of spatial weight matrix based on k nearest neigh-bours (for k le m if FALSE W is the spatial weight matrix based only on mth

nearest neighbours

map2list 45

Details

For each site we order the other sites by their distance from this site If cum=TRUE for i if j isamong the mth nearest sites then

Wij = 1

elseWij = 0

If cum=FALSE for si if sj is the mth nearest site then

Wij = 1

elseWij = 0

In case of ties the nearest neighbour is randomly chosen

Value

A spatial weight matrix of size ntimes n

Author(s)

Aragon Y Thomas-Agnan C Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapfindneighborsmakedistanceWnormw

Examples

data aucklanddata(auckland)Wlt-makeneighborsw(auckland$Eastingauckland$Northing5)

map2list Extract from a lsquoMaprsquo object the middle coordinates of boundary boxand the vertices of the polygons (in the case where polygons are given)

Description

The function lsquomap2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into the lsquoMaprsquo object it extracts the vertices of the polygons seperatingpolygons from each other by 3 rows of NaN

Usage

map2list(data)

46 meuseall

Arguments

data A lsquoMaprsquo object

Details

The user can then represent the coordinates of sites of a lsquoMaprsquo object as background map using theoption lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoMaprsquo object can be directly extract using $attdata

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe maptools packagersquo httpcranr-projectorgdocpackagesmaptoolspdf

See Also

polylist2listspdf2list

Examples

x lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdata

meuseall Meuse river data set - original full data set

Description

This data set gives locations and top soil heavy metal concentrations (ppm) along with a numberof soil and landscape variables collected in a flood plain of the river Meuse near the village SteinHeavy metal concentrations are bulk sampled from an area of approximately 15times 15m

Usage

data(meuseall)

32 genpca

Examples

data(auckland)Wlt-findneighbors(auckland$Eastingauckland$Northing1)

genpca Generalized Principal Component Analysis (PCA)

Description

The function lsquogenpcarsquo computes a generalized Principal Component Analysis (PCA) It calculatesthe principal components the coordinates of the variables and in these principals components axesand the inertia of these principal components

Usage

genpca(data w=rep(1nrow(data)length=nrow(data)) m=diag(1ncol(data)ncol(data))center=TRUE reduc=TRUE)

Arguments

data matrix ntimes p

w vector of size n of weight (by default weight = t(1n 1n))

m matrix ptimes p (by default metric=Identity matrix)

center boolean if TRUE centered PCA (by default center=TRUE)

reduc boolean if TRUE reduced PCA (by default reduce=TRUE)

Details

LetW = diag(w)

x = data = (xprime1 x

primen)prime

withxi = (x1

i xpi )

Let1n = (1 1)prime

with n rows and 1p = (1 1)prime

with p rows Normalization of weight

wi =wisumi wi

genpca 33

Vector of means x = (x1 xp)prime

withxj =

sumi

wixji

If center=Truexc = xminus 1nxprime

Standart deviation (σj)2 =

sumi

wi(xji )

2 minus (xj)2

Σ = diag((σ1)2 (σp)2)prime

If reduc=True xcr = xc times Σminus12

Variance-Covariance matrix

C = xprimecrWxcr

Cholesky decomposition M = LLprime where M=mLet

Cl = LCLprime

Let U and D as ClU = UD

with D = diag(λ1 λp)Let

V = LprimeU

Then Coordinates of individuals in the principals components basis

CC = xcrV

Coordinates of variables in principals components

V C = CV Dminus12

Inertia I = D1p

Value

Returns lsquoinertiarsquo vector of size p with percent of inertia of each component (corresponding to I)lsquocasecoordrsquo matrix ntimes p (corresponding to matrix CC) lsquovarcoordrsquo matrix ptimes p (corresponding tomatrix V C)

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

34 gini

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Caussinus H Fekri M Hakam S Ruiz-Gazen A (2003) ldquoA monitoring display of MultivariateOutliersrdquo Computational Statistics and Data Analysis vol 44 1-2 237-252

See Also

clustermappcamap

gini Calculates a Gini Index

Description

The function lsquoginirsquo calculates the Gini Index associated to the variable lsquovarrsquo

Usage

gini(var)

Arguments

var a vector of numerical values of size n

Details

Let xk k = 1 K be the distinct values taken by V ar For each site Ginir returns two pairs offrequencies The pair (f g) where f represents

fk =1n

sumi

1(V ari = xk)

(n is the length of lsquovarrsquo) and g represents

gk =xk

xfk

The pair (FG) represents the corresponding cumulative frequenciesThe Gini Index is calculated as

IG =12x

Ksumi=1

Ksumj=1

|xi minus xj |

Value

(f F g G gini) where f F g and G are vectors of size K and gini a numeric value

Note

This function is used in ginimapR but it is not an interactive function

ginimap 35

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

ginimap

ginimap Lorentz curve and map

Description

The function lsquoginimaprsquo computes a Lorentz curve from rsquovarrsquo and calculates the Gini Index associ-ated to var

Usage

ginimap(long lat var listvar = NULL listnomvar = NULLcarte = NULL criteria = NULL label = symbol = 0color = 1 labvar = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

listvar matrix of variables

listnomvar names of variables in listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

36 ginimap

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

labvar name of var

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

axis a boolean with TRUEfor drawing axes on the map

Details

Users have the possibility to choose a threshold by mouse clicking on the Lorentz curve or byspecifying it in the menu The corresponding pair (FG) and the value of lsquovarrsquo are then printed onthe graph and the sites with a value of lsquovarrsquo lower or equal to the threshold are then selected on themap

Note

The Gini Index is given in the tcltk window (see function ginir for the formula used to calculate it)

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

gini

Examples

donneacutees eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)obslt-ginimap(eire$V1eire$V2eire$INCOMElistvar=eirelistnomvar=names(eire)carte=eirecontours)

graphique 37

graphique Drawing a graphic

Description

The function lsquographiquersquo draws a specific graphic Possibility to draw one of these graphics His-togram Barplot Boxplot Polyboxplot Scatterplot Densityplot Neighbourplot Lorentz MoranAngleplot Variocloud Cluster and PCA (graphics of individuals and variables) This function iscalled in most of the functions of GeoXp (this is not an interactive function)

Usage

graphique(var1 var2 var3 obsnumgraph=couleurs= symbol=0col=0 labvar=nbcol=10 alpha1 W Xpoly Ypoly F G opt1=1opt2=1 quantiles=05 labmod= directinertielabel=0kernel obsq locmoran=0bin=NULL)

Arguments

var1 1st variable of size n

var2 2nd variable of size n

var3 3rd variable of size n (used for variocloudmap)

obs a vector of boolean of size n with sites selected

num number of windows which must be activated (3 ou 4)

graph name of graphic which must be drawn Histogram Barplot Boxplot Polybox-plot Scatterplot Densityplot1 Densityplot2 Neighbourplot Lorentz MoranQuadrant Angleplot Variocloud Cluster Acp1 Acp2

couleurs Possibilty to change colors (for admin only)

symbol 0 or 1 choice of representation of points selected (0 selected points are in redor 1 selectd points are stars)

col 0 or 1 choice of representation of points selected (0 sites are represented inblue and 1 sites are represented with different colors for each factor)

labvar name(s) of variable(s) studied

nbcol number of cells if the graphic choosen is the histogram (10 by default)

38 graphique

alpha1 regression smoothing paramater

W Spatial weight matrix

Xpoly x-coordinates of the vertices of selected polygon

Ypoly y-coordinates of the vertices of selected polygon

F Used for Ginimap

G Used for Ginimap

opt1 Option for scattermap (1 graphic only 2 drawing of the conditionnal medianregression spline 3 drawing of the conditionnal quantile regression spline (userhas to give option quantiles))

opt2 Option for drawing robust empirical variogram

quantiles vector which contains the values of α for conditionnal quantile

labmod names of factor if the graphic choosed is a barplot

direct Used for PCA

inertie Used for PCA

label Name of sites

kernel Name of the kernel choosed in densitymap

obsq Used for clustermap and barmap

locmoran Print local moran for each site

bin The bins chosen to calculte empirical variogram

Details

This function is called by any function which draws a graphic A lot of options are consideredbecause of the large number of graphics proposed

histobarmap 39

Value

No values only drawing of a graphic

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

histobarmap Histogram barplot and map

Description

The function lsquohistobarmaprsquo draws a bar plot (vertical bar) of the given variable var1 a histogramof the given variable var2 and a map with sites of coordinates (long lat)

Usage

histobarmap(long lat var1 var2 criteria = NULLcarte = NULL label = symbol = 0 color = 1nbcol = 10 labvar = c( ) labmod = listvar = NULL listnomvar = NULL axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of factor of size n

var2 a vector of numerical values of size n

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with name of each site

40 histobarmap

color 0 or 1 choice of representation of selected points If 0 sites are represented inblue if 1 sites are represented with different colors for each factor of var1

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

nbcol number of cells for histogram (10 by default)

labvar list of names for variable lsquovar1rsquo and lsquovar2rsquo

labmod names of factors lsquovarrsquo

listvar matrix of variables fo size ntimes p for optional additional graph and bubbles

listnomvar list of character of size p with names of variables in rsquolistvarrsquo

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Each site is associated to a factor of var1 and to a value of var2 There is interactivity betweenthe three windows created the sites selected by a bar on the bar plot or on the histogram arerepresented on the map in red and the value and factor of sites selected on the map are representedin red on the bar plot and on the histogram

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap dbledensitymap

histomap 41

Examples

Data Colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-histobarmap(colombuscontours$Xcolombuscontours$Ycolombus$CPcolombus$HOVALlabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

Data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histobarmap(eire$V1eire$V2eire$paleeire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Appartenance agravela reacutegion du Palelabmod=c(Hors PalePale))

histomap Interactive Histogram and map

Description

The function lsquohistomaprsquo draws a histogram of the given variable var and a map with sites of coor-dinates (long lat) Each site is associated to a value of var and there is interactivity between thetwo windows

Usage

histomap(long lat var nbcol = 10 listvar = NULLlistnomvar = NULL criteria = NULL carte = NULL label = symbol = 0 color = 1 labvar = axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

nbcol number of cells for histogram (10 by default)

listvar matrix of variables

listnomvar names of variables listvar

42 histomap

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Sites selected by a bar on the histogram are represented on the map in red and the values of sitesselected on the map by lsquopointsrsquo or lsquopolygonrsquo are represented in red as a sub-histogram on thehistogram

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

histomap histobarmap scattermap densitymap

makedistanceW 43

Examples

data oldcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)histomap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcollistnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME))carte=contoursOLD)

data afcondata(afcon)histomap(afcon$xafcon$yafcon$totconlistvar=afconlistnomvar=names(afcon)criteria=(afcon$totcongtmean(afcon$totcon))label=afcon$name)

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histomap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

makedistanceW Spatial weight matrix based on distance threshold

Description

The function lsquomakedistanceWrsquo creates a spatial weight matrix based on a threshold distance as-signy 1 if the distance between the two sites is lower or equal to a given threshold and 0 otherwise

Usage

makedistanceW(x y distance)

Arguments

x a vector x of size n

y a vector y of size n

distance threshold point

Details

If site i is seperated from j by a distance lower or equal to a given threshold

Wij = 1

elseWij = 0

44 makeneighborsw

Value

A matrix W of size ntimes n containing 0 and 1

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapmakeneighborswnormwfindneighbors

Examples

data aucklanddata(auckland)Wlt-makedistanceW(auckland$Eastingauckland$Northing5)

makeneighborsw Spatial weight matrix based on nearest neighbors

Description

The function lsquomakeneighborswrsquo creates a spatial weight matrix based on a given number of nearestneighbors

Usage

makeneighborsw(xc yc m cum = TRUE)

Arguments

xc a vector x of size n

yc a vector y of size n

m number of nearest neighbors

cum if cum=TRUE W is the sum of spatial weight matrix based on k nearest neigh-bours (for k le m if FALSE W is the spatial weight matrix based only on mth

nearest neighbours

map2list 45

Details

For each site we order the other sites by their distance from this site If cum=TRUE for i if j isamong the mth nearest sites then

Wij = 1

elseWij = 0

If cum=FALSE for si if sj is the mth nearest site then

Wij = 1

elseWij = 0

In case of ties the nearest neighbour is randomly chosen

Value

A spatial weight matrix of size ntimes n

Author(s)

Aragon Y Thomas-Agnan C Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapfindneighborsmakedistanceWnormw

Examples

data aucklanddata(auckland)Wlt-makeneighborsw(auckland$Eastingauckland$Northing5)

map2list Extract from a lsquoMaprsquo object the middle coordinates of boundary boxand the vertices of the polygons (in the case where polygons are given)

Description

The function lsquomap2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into the lsquoMaprsquo object it extracts the vertices of the polygons seperatingpolygons from each other by 3 rows of NaN

Usage

map2list(data)

46 meuseall

Arguments

data A lsquoMaprsquo object

Details

The user can then represent the coordinates of sites of a lsquoMaprsquo object as background map using theoption lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoMaprsquo object can be directly extract using $attdata

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe maptools packagersquo httpcranr-projectorgdocpackagesmaptoolspdf

See Also

polylist2listspdf2list

Examples

x lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdata

meuseall Meuse river data set - original full data set

Description

This data set gives locations and top soil heavy metal concentrations (ppm) along with a numberof soil and landscape variables collected in a flood plain of the river Meuse near the village SteinHeavy metal concentrations are bulk sampled from an area of approximately 15times 15m

Usage

data(meuseall)

genpca 33

Vector of means x = (x1 xp)prime

withxj =

sumi

wixji

If center=Truexc = xminus 1nxprime

Standart deviation (σj)2 =

sumi

wi(xji )

2 minus (xj)2

Σ = diag((σ1)2 (σp)2)prime

If reduc=True xcr = xc times Σminus12

Variance-Covariance matrix

C = xprimecrWxcr

Cholesky decomposition M = LLprime where M=mLet

Cl = LCLprime

Let U and D as ClU = UD

with D = diag(λ1 λp)Let

V = LprimeU

Then Coordinates of individuals in the principals components basis

CC = xcrV

Coordinates of variables in principals components

V C = CV Dminus12

Inertia I = D1p

Value

Returns lsquoinertiarsquo vector of size p with percent of inertia of each component (corresponding to I)lsquocasecoordrsquo matrix ntimes p (corresponding to matrix CC) lsquovarcoordrsquo matrix ptimes p (corresponding tomatrix V C)

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

34 gini

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Caussinus H Fekri M Hakam S Ruiz-Gazen A (2003) ldquoA monitoring display of MultivariateOutliersrdquo Computational Statistics and Data Analysis vol 44 1-2 237-252

See Also

clustermappcamap

gini Calculates a Gini Index

Description

The function lsquoginirsquo calculates the Gini Index associated to the variable lsquovarrsquo

Usage

gini(var)

Arguments

var a vector of numerical values of size n

Details

Let xk k = 1 K be the distinct values taken by V ar For each site Ginir returns two pairs offrequencies The pair (f g) where f represents

fk =1n

sumi

1(V ari = xk)

(n is the length of lsquovarrsquo) and g represents

gk =xk

xfk

The pair (FG) represents the corresponding cumulative frequenciesThe Gini Index is calculated as

IG =12x

Ksumi=1

Ksumj=1

|xi minus xj |

Value

(f F g G gini) where f F g and G are vectors of size K and gini a numeric value

Note

This function is used in ginimapR but it is not an interactive function

ginimap 35

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

ginimap

ginimap Lorentz curve and map

Description

The function lsquoginimaprsquo computes a Lorentz curve from rsquovarrsquo and calculates the Gini Index associ-ated to var

Usage

ginimap(long lat var listvar = NULL listnomvar = NULLcarte = NULL criteria = NULL label = symbol = 0color = 1 labvar = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

listvar matrix of variables

listnomvar names of variables in listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

36 ginimap

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

labvar name of var

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

axis a boolean with TRUEfor drawing axes on the map

Details

Users have the possibility to choose a threshold by mouse clicking on the Lorentz curve or byspecifying it in the menu The corresponding pair (FG) and the value of lsquovarrsquo are then printed onthe graph and the sites with a value of lsquovarrsquo lower or equal to the threshold are then selected on themap

Note

The Gini Index is given in the tcltk window (see function ginir for the formula used to calculate it)

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

gini

Examples

donneacutees eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)obslt-ginimap(eire$V1eire$V2eire$INCOMElistvar=eirelistnomvar=names(eire)carte=eirecontours)

graphique 37

graphique Drawing a graphic

Description

The function lsquographiquersquo draws a specific graphic Possibility to draw one of these graphics His-togram Barplot Boxplot Polyboxplot Scatterplot Densityplot Neighbourplot Lorentz MoranAngleplot Variocloud Cluster and PCA (graphics of individuals and variables) This function iscalled in most of the functions of GeoXp (this is not an interactive function)

Usage

graphique(var1 var2 var3 obsnumgraph=couleurs= symbol=0col=0 labvar=nbcol=10 alpha1 W Xpoly Ypoly F G opt1=1opt2=1 quantiles=05 labmod= directinertielabel=0kernel obsq locmoran=0bin=NULL)

Arguments

var1 1st variable of size n

var2 2nd variable of size n

var3 3rd variable of size n (used for variocloudmap)

obs a vector of boolean of size n with sites selected

num number of windows which must be activated (3 ou 4)

graph name of graphic which must be drawn Histogram Barplot Boxplot Polybox-plot Scatterplot Densityplot1 Densityplot2 Neighbourplot Lorentz MoranQuadrant Angleplot Variocloud Cluster Acp1 Acp2

couleurs Possibilty to change colors (for admin only)

symbol 0 or 1 choice of representation of points selected (0 selected points are in redor 1 selectd points are stars)

col 0 or 1 choice of representation of points selected (0 sites are represented inblue and 1 sites are represented with different colors for each factor)

labvar name(s) of variable(s) studied

nbcol number of cells if the graphic choosen is the histogram (10 by default)

38 graphique

alpha1 regression smoothing paramater

W Spatial weight matrix

Xpoly x-coordinates of the vertices of selected polygon

Ypoly y-coordinates of the vertices of selected polygon

F Used for Ginimap

G Used for Ginimap

opt1 Option for scattermap (1 graphic only 2 drawing of the conditionnal medianregression spline 3 drawing of the conditionnal quantile regression spline (userhas to give option quantiles))

opt2 Option for drawing robust empirical variogram

quantiles vector which contains the values of α for conditionnal quantile

labmod names of factor if the graphic choosed is a barplot

direct Used for PCA

inertie Used for PCA

label Name of sites

kernel Name of the kernel choosed in densitymap

obsq Used for clustermap and barmap

locmoran Print local moran for each site

bin The bins chosen to calculte empirical variogram

Details

This function is called by any function which draws a graphic A lot of options are consideredbecause of the large number of graphics proposed

histobarmap 39

Value

No values only drawing of a graphic

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

histobarmap Histogram barplot and map

Description

The function lsquohistobarmaprsquo draws a bar plot (vertical bar) of the given variable var1 a histogramof the given variable var2 and a map with sites of coordinates (long lat)

Usage

histobarmap(long lat var1 var2 criteria = NULLcarte = NULL label = symbol = 0 color = 1nbcol = 10 labvar = c( ) labmod = listvar = NULL listnomvar = NULL axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of factor of size n

var2 a vector of numerical values of size n

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with name of each site

40 histobarmap

color 0 or 1 choice of representation of selected points If 0 sites are represented inblue if 1 sites are represented with different colors for each factor of var1

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

nbcol number of cells for histogram (10 by default)

labvar list of names for variable lsquovar1rsquo and lsquovar2rsquo

labmod names of factors lsquovarrsquo

listvar matrix of variables fo size ntimes p for optional additional graph and bubbles

listnomvar list of character of size p with names of variables in rsquolistvarrsquo

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Each site is associated to a factor of var1 and to a value of var2 There is interactivity betweenthe three windows created the sites selected by a bar on the bar plot or on the histogram arerepresented on the map in red and the value and factor of sites selected on the map are representedin red on the bar plot and on the histogram

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap dbledensitymap

histomap 41

Examples

Data Colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-histobarmap(colombuscontours$Xcolombuscontours$Ycolombus$CPcolombus$HOVALlabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

Data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histobarmap(eire$V1eire$V2eire$paleeire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Appartenance agravela reacutegion du Palelabmod=c(Hors PalePale))

histomap Interactive Histogram and map

Description

The function lsquohistomaprsquo draws a histogram of the given variable var and a map with sites of coor-dinates (long lat) Each site is associated to a value of var and there is interactivity between thetwo windows

Usage

histomap(long lat var nbcol = 10 listvar = NULLlistnomvar = NULL criteria = NULL carte = NULL label = symbol = 0 color = 1 labvar = axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

nbcol number of cells for histogram (10 by default)

listvar matrix of variables

listnomvar names of variables listvar

42 histomap

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Sites selected by a bar on the histogram are represented on the map in red and the values of sitesselected on the map by lsquopointsrsquo or lsquopolygonrsquo are represented in red as a sub-histogram on thehistogram

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

histomap histobarmap scattermap densitymap

makedistanceW 43

Examples

data oldcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)histomap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcollistnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME))carte=contoursOLD)

data afcondata(afcon)histomap(afcon$xafcon$yafcon$totconlistvar=afconlistnomvar=names(afcon)criteria=(afcon$totcongtmean(afcon$totcon))label=afcon$name)

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histomap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

makedistanceW Spatial weight matrix based on distance threshold

Description

The function lsquomakedistanceWrsquo creates a spatial weight matrix based on a threshold distance as-signy 1 if the distance between the two sites is lower or equal to a given threshold and 0 otherwise

Usage

makedistanceW(x y distance)

Arguments

x a vector x of size n

y a vector y of size n

distance threshold point

Details

If site i is seperated from j by a distance lower or equal to a given threshold

Wij = 1

elseWij = 0

44 makeneighborsw

Value

A matrix W of size ntimes n containing 0 and 1

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapmakeneighborswnormwfindneighbors

Examples

data aucklanddata(auckland)Wlt-makedistanceW(auckland$Eastingauckland$Northing5)

makeneighborsw Spatial weight matrix based on nearest neighbors

Description

The function lsquomakeneighborswrsquo creates a spatial weight matrix based on a given number of nearestneighbors

Usage

makeneighborsw(xc yc m cum = TRUE)

Arguments

xc a vector x of size n

yc a vector y of size n

m number of nearest neighbors

cum if cum=TRUE W is the sum of spatial weight matrix based on k nearest neigh-bours (for k le m if FALSE W is the spatial weight matrix based only on mth

nearest neighbours

map2list 45

Details

For each site we order the other sites by their distance from this site If cum=TRUE for i if j isamong the mth nearest sites then

Wij = 1

elseWij = 0

If cum=FALSE for si if sj is the mth nearest site then

Wij = 1

elseWij = 0

In case of ties the nearest neighbour is randomly chosen

Value

A spatial weight matrix of size ntimes n

Author(s)

Aragon Y Thomas-Agnan C Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapfindneighborsmakedistanceWnormw

Examples

data aucklanddata(auckland)Wlt-makeneighborsw(auckland$Eastingauckland$Northing5)

map2list Extract from a lsquoMaprsquo object the middle coordinates of boundary boxand the vertices of the polygons (in the case where polygons are given)

Description

The function lsquomap2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into the lsquoMaprsquo object it extracts the vertices of the polygons seperatingpolygons from each other by 3 rows of NaN

Usage

map2list(data)

46 meuseall

Arguments

data A lsquoMaprsquo object

Details

The user can then represent the coordinates of sites of a lsquoMaprsquo object as background map using theoption lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoMaprsquo object can be directly extract using $attdata

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe maptools packagersquo httpcranr-projectorgdocpackagesmaptoolspdf

See Also

polylist2listspdf2list

Examples

x lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdata

meuseall Meuse river data set - original full data set

Description

This data set gives locations and top soil heavy metal concentrations (ppm) along with a numberof soil and landscape variables collected in a flood plain of the river Meuse near the village SteinHeavy metal concentrations are bulk sampled from an area of approximately 15times 15m

Usage

data(meuseall)

34 gini

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Caussinus H Fekri M Hakam S Ruiz-Gazen A (2003) ldquoA monitoring display of MultivariateOutliersrdquo Computational Statistics and Data Analysis vol 44 1-2 237-252

See Also

clustermappcamap

gini Calculates a Gini Index

Description

The function lsquoginirsquo calculates the Gini Index associated to the variable lsquovarrsquo

Usage

gini(var)

Arguments

var a vector of numerical values of size n

Details

Let xk k = 1 K be the distinct values taken by V ar For each site Ginir returns two pairs offrequencies The pair (f g) where f represents

fk =1n

sumi

1(V ari = xk)

(n is the length of lsquovarrsquo) and g represents

gk =xk

xfk

The pair (FG) represents the corresponding cumulative frequenciesThe Gini Index is calculated as

IG =12x

Ksumi=1

Ksumj=1

|xi minus xj |

Value

(f F g G gini) where f F g and G are vectors of size K and gini a numeric value

Note

This function is used in ginimapR but it is not an interactive function

ginimap 35

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

ginimap

ginimap Lorentz curve and map

Description

The function lsquoginimaprsquo computes a Lorentz curve from rsquovarrsquo and calculates the Gini Index associ-ated to var

Usage

ginimap(long lat var listvar = NULL listnomvar = NULLcarte = NULL criteria = NULL label = symbol = 0color = 1 labvar = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

listvar matrix of variables

listnomvar names of variables in listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

36 ginimap

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

labvar name of var

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

axis a boolean with TRUEfor drawing axes on the map

Details

Users have the possibility to choose a threshold by mouse clicking on the Lorentz curve or byspecifying it in the menu The corresponding pair (FG) and the value of lsquovarrsquo are then printed onthe graph and the sites with a value of lsquovarrsquo lower or equal to the threshold are then selected on themap

Note

The Gini Index is given in the tcltk window (see function ginir for the formula used to calculate it)

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

gini

Examples

donneacutees eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)obslt-ginimap(eire$V1eire$V2eire$INCOMElistvar=eirelistnomvar=names(eire)carte=eirecontours)

graphique 37

graphique Drawing a graphic

Description

The function lsquographiquersquo draws a specific graphic Possibility to draw one of these graphics His-togram Barplot Boxplot Polyboxplot Scatterplot Densityplot Neighbourplot Lorentz MoranAngleplot Variocloud Cluster and PCA (graphics of individuals and variables) This function iscalled in most of the functions of GeoXp (this is not an interactive function)

Usage

graphique(var1 var2 var3 obsnumgraph=couleurs= symbol=0col=0 labvar=nbcol=10 alpha1 W Xpoly Ypoly F G opt1=1opt2=1 quantiles=05 labmod= directinertielabel=0kernel obsq locmoran=0bin=NULL)

Arguments

var1 1st variable of size n

var2 2nd variable of size n

var3 3rd variable of size n (used for variocloudmap)

obs a vector of boolean of size n with sites selected

num number of windows which must be activated (3 ou 4)

graph name of graphic which must be drawn Histogram Barplot Boxplot Polybox-plot Scatterplot Densityplot1 Densityplot2 Neighbourplot Lorentz MoranQuadrant Angleplot Variocloud Cluster Acp1 Acp2

couleurs Possibilty to change colors (for admin only)

symbol 0 or 1 choice of representation of points selected (0 selected points are in redor 1 selectd points are stars)

col 0 or 1 choice of representation of points selected (0 sites are represented inblue and 1 sites are represented with different colors for each factor)

labvar name(s) of variable(s) studied

nbcol number of cells if the graphic choosen is the histogram (10 by default)

38 graphique

alpha1 regression smoothing paramater

W Spatial weight matrix

Xpoly x-coordinates of the vertices of selected polygon

Ypoly y-coordinates of the vertices of selected polygon

F Used for Ginimap

G Used for Ginimap

opt1 Option for scattermap (1 graphic only 2 drawing of the conditionnal medianregression spline 3 drawing of the conditionnal quantile regression spline (userhas to give option quantiles))

opt2 Option for drawing robust empirical variogram

quantiles vector which contains the values of α for conditionnal quantile

labmod names of factor if the graphic choosed is a barplot

direct Used for PCA

inertie Used for PCA

label Name of sites

kernel Name of the kernel choosed in densitymap

obsq Used for clustermap and barmap

locmoran Print local moran for each site

bin The bins chosen to calculte empirical variogram

Details

This function is called by any function which draws a graphic A lot of options are consideredbecause of the large number of graphics proposed

histobarmap 39

Value

No values only drawing of a graphic

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

histobarmap Histogram barplot and map

Description

The function lsquohistobarmaprsquo draws a bar plot (vertical bar) of the given variable var1 a histogramof the given variable var2 and a map with sites of coordinates (long lat)

Usage

histobarmap(long lat var1 var2 criteria = NULLcarte = NULL label = symbol = 0 color = 1nbcol = 10 labvar = c( ) labmod = listvar = NULL listnomvar = NULL axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of factor of size n

var2 a vector of numerical values of size n

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with name of each site

40 histobarmap

color 0 or 1 choice of representation of selected points If 0 sites are represented inblue if 1 sites are represented with different colors for each factor of var1

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

nbcol number of cells for histogram (10 by default)

labvar list of names for variable lsquovar1rsquo and lsquovar2rsquo

labmod names of factors lsquovarrsquo

listvar matrix of variables fo size ntimes p for optional additional graph and bubbles

listnomvar list of character of size p with names of variables in rsquolistvarrsquo

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Each site is associated to a factor of var1 and to a value of var2 There is interactivity betweenthe three windows created the sites selected by a bar on the bar plot or on the histogram arerepresented on the map in red and the value and factor of sites selected on the map are representedin red on the bar plot and on the histogram

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap dbledensitymap

histomap 41

Examples

Data Colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-histobarmap(colombuscontours$Xcolombuscontours$Ycolombus$CPcolombus$HOVALlabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

Data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histobarmap(eire$V1eire$V2eire$paleeire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Appartenance agravela reacutegion du Palelabmod=c(Hors PalePale))

histomap Interactive Histogram and map

Description

The function lsquohistomaprsquo draws a histogram of the given variable var and a map with sites of coor-dinates (long lat) Each site is associated to a value of var and there is interactivity between thetwo windows

Usage

histomap(long lat var nbcol = 10 listvar = NULLlistnomvar = NULL criteria = NULL carte = NULL label = symbol = 0 color = 1 labvar = axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

nbcol number of cells for histogram (10 by default)

listvar matrix of variables

listnomvar names of variables listvar

42 histomap

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Sites selected by a bar on the histogram are represented on the map in red and the values of sitesselected on the map by lsquopointsrsquo or lsquopolygonrsquo are represented in red as a sub-histogram on thehistogram

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

histomap histobarmap scattermap densitymap

makedistanceW 43

Examples

data oldcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)histomap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcollistnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME))carte=contoursOLD)

data afcondata(afcon)histomap(afcon$xafcon$yafcon$totconlistvar=afconlistnomvar=names(afcon)criteria=(afcon$totcongtmean(afcon$totcon))label=afcon$name)

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histomap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

makedistanceW Spatial weight matrix based on distance threshold

Description

The function lsquomakedistanceWrsquo creates a spatial weight matrix based on a threshold distance as-signy 1 if the distance between the two sites is lower or equal to a given threshold and 0 otherwise

Usage

makedistanceW(x y distance)

Arguments

x a vector x of size n

y a vector y of size n

distance threshold point

Details

If site i is seperated from j by a distance lower or equal to a given threshold

Wij = 1

elseWij = 0

44 makeneighborsw

Value

A matrix W of size ntimes n containing 0 and 1

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapmakeneighborswnormwfindneighbors

Examples

data aucklanddata(auckland)Wlt-makedistanceW(auckland$Eastingauckland$Northing5)

makeneighborsw Spatial weight matrix based on nearest neighbors

Description

The function lsquomakeneighborswrsquo creates a spatial weight matrix based on a given number of nearestneighbors

Usage

makeneighborsw(xc yc m cum = TRUE)

Arguments

xc a vector x of size n

yc a vector y of size n

m number of nearest neighbors

cum if cum=TRUE W is the sum of spatial weight matrix based on k nearest neigh-bours (for k le m if FALSE W is the spatial weight matrix based only on mth

nearest neighbours

map2list 45

Details

For each site we order the other sites by their distance from this site If cum=TRUE for i if j isamong the mth nearest sites then

Wij = 1

elseWij = 0

If cum=FALSE for si if sj is the mth nearest site then

Wij = 1

elseWij = 0

In case of ties the nearest neighbour is randomly chosen

Value

A spatial weight matrix of size ntimes n

Author(s)

Aragon Y Thomas-Agnan C Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapfindneighborsmakedistanceWnormw

Examples

data aucklanddata(auckland)Wlt-makeneighborsw(auckland$Eastingauckland$Northing5)

map2list Extract from a lsquoMaprsquo object the middle coordinates of boundary boxand the vertices of the polygons (in the case where polygons are given)

Description

The function lsquomap2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into the lsquoMaprsquo object it extracts the vertices of the polygons seperatingpolygons from each other by 3 rows of NaN

Usage

map2list(data)

46 meuseall

Arguments

data A lsquoMaprsquo object

Details

The user can then represent the coordinates of sites of a lsquoMaprsquo object as background map using theoption lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoMaprsquo object can be directly extract using $attdata

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe maptools packagersquo httpcranr-projectorgdocpackagesmaptoolspdf

See Also

polylist2listspdf2list

Examples

x lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdata

meuseall Meuse river data set - original full data set

Description

This data set gives locations and top soil heavy metal concentrations (ppm) along with a numberof soil and landscape variables collected in a flood plain of the river Meuse near the village SteinHeavy metal concentrations are bulk sampled from an area of approximately 15times 15m

Usage

data(meuseall)

ginimap 35

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

ginimap

ginimap Lorentz curve and map

Description

The function lsquoginimaprsquo computes a Lorentz curve from rsquovarrsquo and calculates the Gini Index associ-ated to var

Usage

ginimap(long lat var listvar = NULL listnomvar = NULLcarte = NULL criteria = NULL label = symbol = 0color = 1 labvar = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

listvar matrix of variables

listnomvar names of variables in listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

36 ginimap

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

labvar name of var

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

axis a boolean with TRUEfor drawing axes on the map

Details

Users have the possibility to choose a threshold by mouse clicking on the Lorentz curve or byspecifying it in the menu The corresponding pair (FG) and the value of lsquovarrsquo are then printed onthe graph and the sites with a value of lsquovarrsquo lower or equal to the threshold are then selected on themap

Note

The Gini Index is given in the tcltk window (see function ginir for the formula used to calculate it)

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

gini

Examples

donneacutees eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)obslt-ginimap(eire$V1eire$V2eire$INCOMElistvar=eirelistnomvar=names(eire)carte=eirecontours)

graphique 37

graphique Drawing a graphic

Description

The function lsquographiquersquo draws a specific graphic Possibility to draw one of these graphics His-togram Barplot Boxplot Polyboxplot Scatterplot Densityplot Neighbourplot Lorentz MoranAngleplot Variocloud Cluster and PCA (graphics of individuals and variables) This function iscalled in most of the functions of GeoXp (this is not an interactive function)

Usage

graphique(var1 var2 var3 obsnumgraph=couleurs= symbol=0col=0 labvar=nbcol=10 alpha1 W Xpoly Ypoly F G opt1=1opt2=1 quantiles=05 labmod= directinertielabel=0kernel obsq locmoran=0bin=NULL)

Arguments

var1 1st variable of size n

var2 2nd variable of size n

var3 3rd variable of size n (used for variocloudmap)

obs a vector of boolean of size n with sites selected

num number of windows which must be activated (3 ou 4)

graph name of graphic which must be drawn Histogram Barplot Boxplot Polybox-plot Scatterplot Densityplot1 Densityplot2 Neighbourplot Lorentz MoranQuadrant Angleplot Variocloud Cluster Acp1 Acp2

couleurs Possibilty to change colors (for admin only)

symbol 0 or 1 choice of representation of points selected (0 selected points are in redor 1 selectd points are stars)

col 0 or 1 choice of representation of points selected (0 sites are represented inblue and 1 sites are represented with different colors for each factor)

labvar name(s) of variable(s) studied

nbcol number of cells if the graphic choosen is the histogram (10 by default)

38 graphique

alpha1 regression smoothing paramater

W Spatial weight matrix

Xpoly x-coordinates of the vertices of selected polygon

Ypoly y-coordinates of the vertices of selected polygon

F Used for Ginimap

G Used for Ginimap

opt1 Option for scattermap (1 graphic only 2 drawing of the conditionnal medianregression spline 3 drawing of the conditionnal quantile regression spline (userhas to give option quantiles))

opt2 Option for drawing robust empirical variogram

quantiles vector which contains the values of α for conditionnal quantile

labmod names of factor if the graphic choosed is a barplot

direct Used for PCA

inertie Used for PCA

label Name of sites

kernel Name of the kernel choosed in densitymap

obsq Used for clustermap and barmap

locmoran Print local moran for each site

bin The bins chosen to calculte empirical variogram

Details

This function is called by any function which draws a graphic A lot of options are consideredbecause of the large number of graphics proposed

histobarmap 39

Value

No values only drawing of a graphic

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

histobarmap Histogram barplot and map

Description

The function lsquohistobarmaprsquo draws a bar plot (vertical bar) of the given variable var1 a histogramof the given variable var2 and a map with sites of coordinates (long lat)

Usage

histobarmap(long lat var1 var2 criteria = NULLcarte = NULL label = symbol = 0 color = 1nbcol = 10 labvar = c( ) labmod = listvar = NULL listnomvar = NULL axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of factor of size n

var2 a vector of numerical values of size n

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with name of each site

40 histobarmap

color 0 or 1 choice of representation of selected points If 0 sites are represented inblue if 1 sites are represented with different colors for each factor of var1

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

nbcol number of cells for histogram (10 by default)

labvar list of names for variable lsquovar1rsquo and lsquovar2rsquo

labmod names of factors lsquovarrsquo

listvar matrix of variables fo size ntimes p for optional additional graph and bubbles

listnomvar list of character of size p with names of variables in rsquolistvarrsquo

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Each site is associated to a factor of var1 and to a value of var2 There is interactivity betweenthe three windows created the sites selected by a bar on the bar plot or on the histogram arerepresented on the map in red and the value and factor of sites selected on the map are representedin red on the bar plot and on the histogram

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap dbledensitymap

histomap 41

Examples

Data Colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-histobarmap(colombuscontours$Xcolombuscontours$Ycolombus$CPcolombus$HOVALlabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

Data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histobarmap(eire$V1eire$V2eire$paleeire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Appartenance agravela reacutegion du Palelabmod=c(Hors PalePale))

histomap Interactive Histogram and map

Description

The function lsquohistomaprsquo draws a histogram of the given variable var and a map with sites of coor-dinates (long lat) Each site is associated to a value of var and there is interactivity between thetwo windows

Usage

histomap(long lat var nbcol = 10 listvar = NULLlistnomvar = NULL criteria = NULL carte = NULL label = symbol = 0 color = 1 labvar = axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

nbcol number of cells for histogram (10 by default)

listvar matrix of variables

listnomvar names of variables listvar

42 histomap

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Sites selected by a bar on the histogram are represented on the map in red and the values of sitesselected on the map by lsquopointsrsquo or lsquopolygonrsquo are represented in red as a sub-histogram on thehistogram

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

histomap histobarmap scattermap densitymap

makedistanceW 43

Examples

data oldcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)histomap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcollistnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME))carte=contoursOLD)

data afcondata(afcon)histomap(afcon$xafcon$yafcon$totconlistvar=afconlistnomvar=names(afcon)criteria=(afcon$totcongtmean(afcon$totcon))label=afcon$name)

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histomap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

makedistanceW Spatial weight matrix based on distance threshold

Description

The function lsquomakedistanceWrsquo creates a spatial weight matrix based on a threshold distance as-signy 1 if the distance between the two sites is lower or equal to a given threshold and 0 otherwise

Usage

makedistanceW(x y distance)

Arguments

x a vector x of size n

y a vector y of size n

distance threshold point

Details

If site i is seperated from j by a distance lower or equal to a given threshold

Wij = 1

elseWij = 0

44 makeneighborsw

Value

A matrix W of size ntimes n containing 0 and 1

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapmakeneighborswnormwfindneighbors

Examples

data aucklanddata(auckland)Wlt-makedistanceW(auckland$Eastingauckland$Northing5)

makeneighborsw Spatial weight matrix based on nearest neighbors

Description

The function lsquomakeneighborswrsquo creates a spatial weight matrix based on a given number of nearestneighbors

Usage

makeneighborsw(xc yc m cum = TRUE)

Arguments

xc a vector x of size n

yc a vector y of size n

m number of nearest neighbors

cum if cum=TRUE W is the sum of spatial weight matrix based on k nearest neigh-bours (for k le m if FALSE W is the spatial weight matrix based only on mth

nearest neighbours

map2list 45

Details

For each site we order the other sites by their distance from this site If cum=TRUE for i if j isamong the mth nearest sites then

Wij = 1

elseWij = 0

If cum=FALSE for si if sj is the mth nearest site then

Wij = 1

elseWij = 0

In case of ties the nearest neighbour is randomly chosen

Value

A spatial weight matrix of size ntimes n

Author(s)

Aragon Y Thomas-Agnan C Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapfindneighborsmakedistanceWnormw

Examples

data aucklanddata(auckland)Wlt-makeneighborsw(auckland$Eastingauckland$Northing5)

map2list Extract from a lsquoMaprsquo object the middle coordinates of boundary boxand the vertices of the polygons (in the case where polygons are given)

Description

The function lsquomap2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into the lsquoMaprsquo object it extracts the vertices of the polygons seperatingpolygons from each other by 3 rows of NaN

Usage

map2list(data)

46 meuseall

Arguments

data A lsquoMaprsquo object

Details

The user can then represent the coordinates of sites of a lsquoMaprsquo object as background map using theoption lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoMaprsquo object can be directly extract using $attdata

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe maptools packagersquo httpcranr-projectorgdocpackagesmaptoolspdf

See Also

polylist2listspdf2list

Examples

x lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdata

meuseall Meuse river data set - original full data set

Description

This data set gives locations and top soil heavy metal concentrations (ppm) along with a numberof soil and landscape variables collected in a flood plain of the river Meuse near the village SteinHeavy metal concentrations are bulk sampled from an area of approximately 15times 15m

Usage

data(meuseall)

36 ginimap

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

labvar name of var

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

axis a boolean with TRUEfor drawing axes on the map

Details

Users have the possibility to choose a threshold by mouse clicking on the Lorentz curve or byspecifying it in the menu The corresponding pair (FG) and the value of lsquovarrsquo are then printed onthe graph and the sites with a value of lsquovarrsquo lower or equal to the threshold are then selected on themap

Note

The Gini Index is given in the tcltk window (see function ginir for the formula used to calculate it)

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

gini

Examples

donneacutees eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)obslt-ginimap(eire$V1eire$V2eire$INCOMElistvar=eirelistnomvar=names(eire)carte=eirecontours)

graphique 37

graphique Drawing a graphic

Description

The function lsquographiquersquo draws a specific graphic Possibility to draw one of these graphics His-togram Barplot Boxplot Polyboxplot Scatterplot Densityplot Neighbourplot Lorentz MoranAngleplot Variocloud Cluster and PCA (graphics of individuals and variables) This function iscalled in most of the functions of GeoXp (this is not an interactive function)

Usage

graphique(var1 var2 var3 obsnumgraph=couleurs= symbol=0col=0 labvar=nbcol=10 alpha1 W Xpoly Ypoly F G opt1=1opt2=1 quantiles=05 labmod= directinertielabel=0kernel obsq locmoran=0bin=NULL)

Arguments

var1 1st variable of size n

var2 2nd variable of size n

var3 3rd variable of size n (used for variocloudmap)

obs a vector of boolean of size n with sites selected

num number of windows which must be activated (3 ou 4)

graph name of graphic which must be drawn Histogram Barplot Boxplot Polybox-plot Scatterplot Densityplot1 Densityplot2 Neighbourplot Lorentz MoranQuadrant Angleplot Variocloud Cluster Acp1 Acp2

couleurs Possibilty to change colors (for admin only)

symbol 0 or 1 choice of representation of points selected (0 selected points are in redor 1 selectd points are stars)

col 0 or 1 choice of representation of points selected (0 sites are represented inblue and 1 sites are represented with different colors for each factor)

labvar name(s) of variable(s) studied

nbcol number of cells if the graphic choosen is the histogram (10 by default)

38 graphique

alpha1 regression smoothing paramater

W Spatial weight matrix

Xpoly x-coordinates of the vertices of selected polygon

Ypoly y-coordinates of the vertices of selected polygon

F Used for Ginimap

G Used for Ginimap

opt1 Option for scattermap (1 graphic only 2 drawing of the conditionnal medianregression spline 3 drawing of the conditionnal quantile regression spline (userhas to give option quantiles))

opt2 Option for drawing robust empirical variogram

quantiles vector which contains the values of α for conditionnal quantile

labmod names of factor if the graphic choosed is a barplot

direct Used for PCA

inertie Used for PCA

label Name of sites

kernel Name of the kernel choosed in densitymap

obsq Used for clustermap and barmap

locmoran Print local moran for each site

bin The bins chosen to calculte empirical variogram

Details

This function is called by any function which draws a graphic A lot of options are consideredbecause of the large number of graphics proposed

histobarmap 39

Value

No values only drawing of a graphic

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

histobarmap Histogram barplot and map

Description

The function lsquohistobarmaprsquo draws a bar plot (vertical bar) of the given variable var1 a histogramof the given variable var2 and a map with sites of coordinates (long lat)

Usage

histobarmap(long lat var1 var2 criteria = NULLcarte = NULL label = symbol = 0 color = 1nbcol = 10 labvar = c( ) labmod = listvar = NULL listnomvar = NULL axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of factor of size n

var2 a vector of numerical values of size n

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with name of each site

40 histobarmap

color 0 or 1 choice of representation of selected points If 0 sites are represented inblue if 1 sites are represented with different colors for each factor of var1

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

nbcol number of cells for histogram (10 by default)

labvar list of names for variable lsquovar1rsquo and lsquovar2rsquo

labmod names of factors lsquovarrsquo

listvar matrix of variables fo size ntimes p for optional additional graph and bubbles

listnomvar list of character of size p with names of variables in rsquolistvarrsquo

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Each site is associated to a factor of var1 and to a value of var2 There is interactivity betweenthe three windows created the sites selected by a bar on the bar plot or on the histogram arerepresented on the map in red and the value and factor of sites selected on the map are representedin red on the bar plot and on the histogram

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap dbledensitymap

histomap 41

Examples

Data Colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-histobarmap(colombuscontours$Xcolombuscontours$Ycolombus$CPcolombus$HOVALlabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

Data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histobarmap(eire$V1eire$V2eire$paleeire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Appartenance agravela reacutegion du Palelabmod=c(Hors PalePale))

histomap Interactive Histogram and map

Description

The function lsquohistomaprsquo draws a histogram of the given variable var and a map with sites of coor-dinates (long lat) Each site is associated to a value of var and there is interactivity between thetwo windows

Usage

histomap(long lat var nbcol = 10 listvar = NULLlistnomvar = NULL criteria = NULL carte = NULL label = symbol = 0 color = 1 labvar = axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

nbcol number of cells for histogram (10 by default)

listvar matrix of variables

listnomvar names of variables listvar

42 histomap

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Sites selected by a bar on the histogram are represented on the map in red and the values of sitesselected on the map by lsquopointsrsquo or lsquopolygonrsquo are represented in red as a sub-histogram on thehistogram

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

histomap histobarmap scattermap densitymap

makedistanceW 43

Examples

data oldcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)histomap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcollistnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME))carte=contoursOLD)

data afcondata(afcon)histomap(afcon$xafcon$yafcon$totconlistvar=afconlistnomvar=names(afcon)criteria=(afcon$totcongtmean(afcon$totcon))label=afcon$name)

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histomap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

makedistanceW Spatial weight matrix based on distance threshold

Description

The function lsquomakedistanceWrsquo creates a spatial weight matrix based on a threshold distance as-signy 1 if the distance between the two sites is lower or equal to a given threshold and 0 otherwise

Usage

makedistanceW(x y distance)

Arguments

x a vector x of size n

y a vector y of size n

distance threshold point

Details

If site i is seperated from j by a distance lower or equal to a given threshold

Wij = 1

elseWij = 0

44 makeneighborsw

Value

A matrix W of size ntimes n containing 0 and 1

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapmakeneighborswnormwfindneighbors

Examples

data aucklanddata(auckland)Wlt-makedistanceW(auckland$Eastingauckland$Northing5)

makeneighborsw Spatial weight matrix based on nearest neighbors

Description

The function lsquomakeneighborswrsquo creates a spatial weight matrix based on a given number of nearestneighbors

Usage

makeneighborsw(xc yc m cum = TRUE)

Arguments

xc a vector x of size n

yc a vector y of size n

m number of nearest neighbors

cum if cum=TRUE W is the sum of spatial weight matrix based on k nearest neigh-bours (for k le m if FALSE W is the spatial weight matrix based only on mth

nearest neighbours

map2list 45

Details

For each site we order the other sites by their distance from this site If cum=TRUE for i if j isamong the mth nearest sites then

Wij = 1

elseWij = 0

If cum=FALSE for si if sj is the mth nearest site then

Wij = 1

elseWij = 0

In case of ties the nearest neighbour is randomly chosen

Value

A spatial weight matrix of size ntimes n

Author(s)

Aragon Y Thomas-Agnan C Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapfindneighborsmakedistanceWnormw

Examples

data aucklanddata(auckland)Wlt-makeneighborsw(auckland$Eastingauckland$Northing5)

map2list Extract from a lsquoMaprsquo object the middle coordinates of boundary boxand the vertices of the polygons (in the case where polygons are given)

Description

The function lsquomap2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into the lsquoMaprsquo object it extracts the vertices of the polygons seperatingpolygons from each other by 3 rows of NaN

Usage

map2list(data)

46 meuseall

Arguments

data A lsquoMaprsquo object

Details

The user can then represent the coordinates of sites of a lsquoMaprsquo object as background map using theoption lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoMaprsquo object can be directly extract using $attdata

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe maptools packagersquo httpcranr-projectorgdocpackagesmaptoolspdf

See Also

polylist2listspdf2list

Examples

x lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdata

meuseall Meuse river data set - original full data set

Description

This data set gives locations and top soil heavy metal concentrations (ppm) along with a numberof soil and landscape variables collected in a flood plain of the river Meuse near the village SteinHeavy metal concentrations are bulk sampled from an area of approximately 15times 15m

Usage

data(meuseall)

graphique 37

graphique Drawing a graphic

Description

The function lsquographiquersquo draws a specific graphic Possibility to draw one of these graphics His-togram Barplot Boxplot Polyboxplot Scatterplot Densityplot Neighbourplot Lorentz MoranAngleplot Variocloud Cluster and PCA (graphics of individuals and variables) This function iscalled in most of the functions of GeoXp (this is not an interactive function)

Usage

graphique(var1 var2 var3 obsnumgraph=couleurs= symbol=0col=0 labvar=nbcol=10 alpha1 W Xpoly Ypoly F G opt1=1opt2=1 quantiles=05 labmod= directinertielabel=0kernel obsq locmoran=0bin=NULL)

Arguments

var1 1st variable of size n

var2 2nd variable of size n

var3 3rd variable of size n (used for variocloudmap)

obs a vector of boolean of size n with sites selected

num number of windows which must be activated (3 ou 4)

graph name of graphic which must be drawn Histogram Barplot Boxplot Polybox-plot Scatterplot Densityplot1 Densityplot2 Neighbourplot Lorentz MoranQuadrant Angleplot Variocloud Cluster Acp1 Acp2

couleurs Possibilty to change colors (for admin only)

symbol 0 or 1 choice of representation of points selected (0 selected points are in redor 1 selectd points are stars)

col 0 or 1 choice of representation of points selected (0 sites are represented inblue and 1 sites are represented with different colors for each factor)

labvar name(s) of variable(s) studied

nbcol number of cells if the graphic choosen is the histogram (10 by default)

38 graphique

alpha1 regression smoothing paramater

W Spatial weight matrix

Xpoly x-coordinates of the vertices of selected polygon

Ypoly y-coordinates of the vertices of selected polygon

F Used for Ginimap

G Used for Ginimap

opt1 Option for scattermap (1 graphic only 2 drawing of the conditionnal medianregression spline 3 drawing of the conditionnal quantile regression spline (userhas to give option quantiles))

opt2 Option for drawing robust empirical variogram

quantiles vector which contains the values of α for conditionnal quantile

labmod names of factor if the graphic choosed is a barplot

direct Used for PCA

inertie Used for PCA

label Name of sites

kernel Name of the kernel choosed in densitymap

obsq Used for clustermap and barmap

locmoran Print local moran for each site

bin The bins chosen to calculte empirical variogram

Details

This function is called by any function which draws a graphic A lot of options are consideredbecause of the large number of graphics proposed

histobarmap 39

Value

No values only drawing of a graphic

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

histobarmap Histogram barplot and map

Description

The function lsquohistobarmaprsquo draws a bar plot (vertical bar) of the given variable var1 a histogramof the given variable var2 and a map with sites of coordinates (long lat)

Usage

histobarmap(long lat var1 var2 criteria = NULLcarte = NULL label = symbol = 0 color = 1nbcol = 10 labvar = c( ) labmod = listvar = NULL listnomvar = NULL axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of factor of size n

var2 a vector of numerical values of size n

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with name of each site

40 histobarmap

color 0 or 1 choice of representation of selected points If 0 sites are represented inblue if 1 sites are represented with different colors for each factor of var1

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

nbcol number of cells for histogram (10 by default)

labvar list of names for variable lsquovar1rsquo and lsquovar2rsquo

labmod names of factors lsquovarrsquo

listvar matrix of variables fo size ntimes p for optional additional graph and bubbles

listnomvar list of character of size p with names of variables in rsquolistvarrsquo

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Each site is associated to a factor of var1 and to a value of var2 There is interactivity betweenthe three windows created the sites selected by a bar on the bar plot or on the histogram arerepresented on the map in red and the value and factor of sites selected on the map are representedin red on the bar plot and on the histogram

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap dbledensitymap

histomap 41

Examples

Data Colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-histobarmap(colombuscontours$Xcolombuscontours$Ycolombus$CPcolombus$HOVALlabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

Data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histobarmap(eire$V1eire$V2eire$paleeire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Appartenance agravela reacutegion du Palelabmod=c(Hors PalePale))

histomap Interactive Histogram and map

Description

The function lsquohistomaprsquo draws a histogram of the given variable var and a map with sites of coor-dinates (long lat) Each site is associated to a value of var and there is interactivity between thetwo windows

Usage

histomap(long lat var nbcol = 10 listvar = NULLlistnomvar = NULL criteria = NULL carte = NULL label = symbol = 0 color = 1 labvar = axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

nbcol number of cells for histogram (10 by default)

listvar matrix of variables

listnomvar names of variables listvar

42 histomap

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Sites selected by a bar on the histogram are represented on the map in red and the values of sitesselected on the map by lsquopointsrsquo or lsquopolygonrsquo are represented in red as a sub-histogram on thehistogram

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

histomap histobarmap scattermap densitymap

makedistanceW 43

Examples

data oldcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)histomap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcollistnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME))carte=contoursOLD)

data afcondata(afcon)histomap(afcon$xafcon$yafcon$totconlistvar=afconlistnomvar=names(afcon)criteria=(afcon$totcongtmean(afcon$totcon))label=afcon$name)

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histomap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

makedistanceW Spatial weight matrix based on distance threshold

Description

The function lsquomakedistanceWrsquo creates a spatial weight matrix based on a threshold distance as-signy 1 if the distance between the two sites is lower or equal to a given threshold and 0 otherwise

Usage

makedistanceW(x y distance)

Arguments

x a vector x of size n

y a vector y of size n

distance threshold point

Details

If site i is seperated from j by a distance lower or equal to a given threshold

Wij = 1

elseWij = 0

44 makeneighborsw

Value

A matrix W of size ntimes n containing 0 and 1

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapmakeneighborswnormwfindneighbors

Examples

data aucklanddata(auckland)Wlt-makedistanceW(auckland$Eastingauckland$Northing5)

makeneighborsw Spatial weight matrix based on nearest neighbors

Description

The function lsquomakeneighborswrsquo creates a spatial weight matrix based on a given number of nearestneighbors

Usage

makeneighborsw(xc yc m cum = TRUE)

Arguments

xc a vector x of size n

yc a vector y of size n

m number of nearest neighbors

cum if cum=TRUE W is the sum of spatial weight matrix based on k nearest neigh-bours (for k le m if FALSE W is the spatial weight matrix based only on mth

nearest neighbours

map2list 45

Details

For each site we order the other sites by their distance from this site If cum=TRUE for i if j isamong the mth nearest sites then

Wij = 1

elseWij = 0

If cum=FALSE for si if sj is the mth nearest site then

Wij = 1

elseWij = 0

In case of ties the nearest neighbour is randomly chosen

Value

A spatial weight matrix of size ntimes n

Author(s)

Aragon Y Thomas-Agnan C Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapfindneighborsmakedistanceWnormw

Examples

data aucklanddata(auckland)Wlt-makeneighborsw(auckland$Eastingauckland$Northing5)

map2list Extract from a lsquoMaprsquo object the middle coordinates of boundary boxand the vertices of the polygons (in the case where polygons are given)

Description

The function lsquomap2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into the lsquoMaprsquo object it extracts the vertices of the polygons seperatingpolygons from each other by 3 rows of NaN

Usage

map2list(data)

46 meuseall

Arguments

data A lsquoMaprsquo object

Details

The user can then represent the coordinates of sites of a lsquoMaprsquo object as background map using theoption lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoMaprsquo object can be directly extract using $attdata

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe maptools packagersquo httpcranr-projectorgdocpackagesmaptoolspdf

See Also

polylist2listspdf2list

Examples

x lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdata

meuseall Meuse river data set - original full data set

Description

This data set gives locations and top soil heavy metal concentrations (ppm) along with a numberof soil and landscape variables collected in a flood plain of the river Meuse near the village SteinHeavy metal concentrations are bulk sampled from an area of approximately 15times 15m

Usage

data(meuseall)

38 graphique

alpha1 regression smoothing paramater

W Spatial weight matrix

Xpoly x-coordinates of the vertices of selected polygon

Ypoly y-coordinates of the vertices of selected polygon

F Used for Ginimap

G Used for Ginimap

opt1 Option for scattermap (1 graphic only 2 drawing of the conditionnal medianregression spline 3 drawing of the conditionnal quantile regression spline (userhas to give option quantiles))

opt2 Option for drawing robust empirical variogram

quantiles vector which contains the values of α for conditionnal quantile

labmod names of factor if the graphic choosed is a barplot

direct Used for PCA

inertie Used for PCA

label Name of sites

kernel Name of the kernel choosed in densitymap

obsq Used for clustermap and barmap

locmoran Print local moran for each site

bin The bins chosen to calculte empirical variogram

Details

This function is called by any function which draws a graphic A lot of options are consideredbecause of the large number of graphics proposed

histobarmap 39

Value

No values only drawing of a graphic

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

histobarmap Histogram barplot and map

Description

The function lsquohistobarmaprsquo draws a bar plot (vertical bar) of the given variable var1 a histogramof the given variable var2 and a map with sites of coordinates (long lat)

Usage

histobarmap(long lat var1 var2 criteria = NULLcarte = NULL label = symbol = 0 color = 1nbcol = 10 labvar = c( ) labmod = listvar = NULL listnomvar = NULL axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of factor of size n

var2 a vector of numerical values of size n

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with name of each site

40 histobarmap

color 0 or 1 choice of representation of selected points If 0 sites are represented inblue if 1 sites are represented with different colors for each factor of var1

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

nbcol number of cells for histogram (10 by default)

labvar list of names for variable lsquovar1rsquo and lsquovar2rsquo

labmod names of factors lsquovarrsquo

listvar matrix of variables fo size ntimes p for optional additional graph and bubbles

listnomvar list of character of size p with names of variables in rsquolistvarrsquo

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Each site is associated to a factor of var1 and to a value of var2 There is interactivity betweenthe three windows created the sites selected by a bar on the bar plot or on the histogram arerepresented on the map in red and the value and factor of sites selected on the map are representedin red on the bar plot and on the histogram

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap dbledensitymap

histomap 41

Examples

Data Colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-histobarmap(colombuscontours$Xcolombuscontours$Ycolombus$CPcolombus$HOVALlabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

Data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histobarmap(eire$V1eire$V2eire$paleeire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Appartenance agravela reacutegion du Palelabmod=c(Hors PalePale))

histomap Interactive Histogram and map

Description

The function lsquohistomaprsquo draws a histogram of the given variable var and a map with sites of coor-dinates (long lat) Each site is associated to a value of var and there is interactivity between thetwo windows

Usage

histomap(long lat var nbcol = 10 listvar = NULLlistnomvar = NULL criteria = NULL carte = NULL label = symbol = 0 color = 1 labvar = axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

nbcol number of cells for histogram (10 by default)

listvar matrix of variables

listnomvar names of variables listvar

42 histomap

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Sites selected by a bar on the histogram are represented on the map in red and the values of sitesselected on the map by lsquopointsrsquo or lsquopolygonrsquo are represented in red as a sub-histogram on thehistogram

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

histomap histobarmap scattermap densitymap

makedistanceW 43

Examples

data oldcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)histomap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcollistnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME))carte=contoursOLD)

data afcondata(afcon)histomap(afcon$xafcon$yafcon$totconlistvar=afconlistnomvar=names(afcon)criteria=(afcon$totcongtmean(afcon$totcon))label=afcon$name)

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histomap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

makedistanceW Spatial weight matrix based on distance threshold

Description

The function lsquomakedistanceWrsquo creates a spatial weight matrix based on a threshold distance as-signy 1 if the distance between the two sites is lower or equal to a given threshold and 0 otherwise

Usage

makedistanceW(x y distance)

Arguments

x a vector x of size n

y a vector y of size n

distance threshold point

Details

If site i is seperated from j by a distance lower or equal to a given threshold

Wij = 1

elseWij = 0

44 makeneighborsw

Value

A matrix W of size ntimes n containing 0 and 1

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapmakeneighborswnormwfindneighbors

Examples

data aucklanddata(auckland)Wlt-makedistanceW(auckland$Eastingauckland$Northing5)

makeneighborsw Spatial weight matrix based on nearest neighbors

Description

The function lsquomakeneighborswrsquo creates a spatial weight matrix based on a given number of nearestneighbors

Usage

makeneighborsw(xc yc m cum = TRUE)

Arguments

xc a vector x of size n

yc a vector y of size n

m number of nearest neighbors

cum if cum=TRUE W is the sum of spatial weight matrix based on k nearest neigh-bours (for k le m if FALSE W is the spatial weight matrix based only on mth

nearest neighbours

map2list 45

Details

For each site we order the other sites by their distance from this site If cum=TRUE for i if j isamong the mth nearest sites then

Wij = 1

elseWij = 0

If cum=FALSE for si if sj is the mth nearest site then

Wij = 1

elseWij = 0

In case of ties the nearest neighbour is randomly chosen

Value

A spatial weight matrix of size ntimes n

Author(s)

Aragon Y Thomas-Agnan C Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapfindneighborsmakedistanceWnormw

Examples

data aucklanddata(auckland)Wlt-makeneighborsw(auckland$Eastingauckland$Northing5)

map2list Extract from a lsquoMaprsquo object the middle coordinates of boundary boxand the vertices of the polygons (in the case where polygons are given)

Description

The function lsquomap2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into the lsquoMaprsquo object it extracts the vertices of the polygons seperatingpolygons from each other by 3 rows of NaN

Usage

map2list(data)

46 meuseall

Arguments

data A lsquoMaprsquo object

Details

The user can then represent the coordinates of sites of a lsquoMaprsquo object as background map using theoption lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoMaprsquo object can be directly extract using $attdata

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe maptools packagersquo httpcranr-projectorgdocpackagesmaptoolspdf

See Also

polylist2listspdf2list

Examples

x lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdata

meuseall Meuse river data set - original full data set

Description

This data set gives locations and top soil heavy metal concentrations (ppm) along with a numberof soil and landscape variables collected in a flood plain of the river Meuse near the village SteinHeavy metal concentrations are bulk sampled from an area of approximately 15times 15m

Usage

data(meuseall)

histobarmap 39

Value

No values only drawing of a graphic

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

histobarmap Histogram barplot and map

Description

The function lsquohistobarmaprsquo draws a bar plot (vertical bar) of the given variable var1 a histogramof the given variable var2 and a map with sites of coordinates (long lat)

Usage

histobarmap(long lat var1 var2 criteria = NULLcarte = NULL label = symbol = 0 color = 1nbcol = 10 labvar = c( ) labmod = listvar = NULL listnomvar = NULL axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of factor of size n

var2 a vector of numerical values of size n

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with name of each site

40 histobarmap

color 0 or 1 choice of representation of selected points If 0 sites are represented inblue if 1 sites are represented with different colors for each factor of var1

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

nbcol number of cells for histogram (10 by default)

labvar list of names for variable lsquovar1rsquo and lsquovar2rsquo

labmod names of factors lsquovarrsquo

listvar matrix of variables fo size ntimes p for optional additional graph and bubbles

listnomvar list of character of size p with names of variables in rsquolistvarrsquo

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Each site is associated to a factor of var1 and to a value of var2 There is interactivity betweenthe three windows created the sites selected by a bar on the bar plot or on the histogram arerepresented on the map in red and the value and factor of sites selected on the map are representedin red on the bar plot and on the histogram

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap dbledensitymap

histomap 41

Examples

Data Colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-histobarmap(colombuscontours$Xcolombuscontours$Ycolombus$CPcolombus$HOVALlabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

Data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histobarmap(eire$V1eire$V2eire$paleeire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Appartenance agravela reacutegion du Palelabmod=c(Hors PalePale))

histomap Interactive Histogram and map

Description

The function lsquohistomaprsquo draws a histogram of the given variable var and a map with sites of coor-dinates (long lat) Each site is associated to a value of var and there is interactivity between thetwo windows

Usage

histomap(long lat var nbcol = 10 listvar = NULLlistnomvar = NULL criteria = NULL carte = NULL label = symbol = 0 color = 1 labvar = axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

nbcol number of cells for histogram (10 by default)

listvar matrix of variables

listnomvar names of variables listvar

42 histomap

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Sites selected by a bar on the histogram are represented on the map in red and the values of sitesselected on the map by lsquopointsrsquo or lsquopolygonrsquo are represented in red as a sub-histogram on thehistogram

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

histomap histobarmap scattermap densitymap

makedistanceW 43

Examples

data oldcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)histomap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcollistnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME))carte=contoursOLD)

data afcondata(afcon)histomap(afcon$xafcon$yafcon$totconlistvar=afconlistnomvar=names(afcon)criteria=(afcon$totcongtmean(afcon$totcon))label=afcon$name)

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histomap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

makedistanceW Spatial weight matrix based on distance threshold

Description

The function lsquomakedistanceWrsquo creates a spatial weight matrix based on a threshold distance as-signy 1 if the distance between the two sites is lower or equal to a given threshold and 0 otherwise

Usage

makedistanceW(x y distance)

Arguments

x a vector x of size n

y a vector y of size n

distance threshold point

Details

If site i is seperated from j by a distance lower or equal to a given threshold

Wij = 1

elseWij = 0

44 makeneighborsw

Value

A matrix W of size ntimes n containing 0 and 1

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapmakeneighborswnormwfindneighbors

Examples

data aucklanddata(auckland)Wlt-makedistanceW(auckland$Eastingauckland$Northing5)

makeneighborsw Spatial weight matrix based on nearest neighbors

Description

The function lsquomakeneighborswrsquo creates a spatial weight matrix based on a given number of nearestneighbors

Usage

makeneighborsw(xc yc m cum = TRUE)

Arguments

xc a vector x of size n

yc a vector y of size n

m number of nearest neighbors

cum if cum=TRUE W is the sum of spatial weight matrix based on k nearest neigh-bours (for k le m if FALSE W is the spatial weight matrix based only on mth

nearest neighbours

map2list 45

Details

For each site we order the other sites by their distance from this site If cum=TRUE for i if j isamong the mth nearest sites then

Wij = 1

elseWij = 0

If cum=FALSE for si if sj is the mth nearest site then

Wij = 1

elseWij = 0

In case of ties the nearest neighbour is randomly chosen

Value

A spatial weight matrix of size ntimes n

Author(s)

Aragon Y Thomas-Agnan C Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapfindneighborsmakedistanceWnormw

Examples

data aucklanddata(auckland)Wlt-makeneighborsw(auckland$Eastingauckland$Northing5)

map2list Extract from a lsquoMaprsquo object the middle coordinates of boundary boxand the vertices of the polygons (in the case where polygons are given)

Description

The function lsquomap2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into the lsquoMaprsquo object it extracts the vertices of the polygons seperatingpolygons from each other by 3 rows of NaN

Usage

map2list(data)

46 meuseall

Arguments

data A lsquoMaprsquo object

Details

The user can then represent the coordinates of sites of a lsquoMaprsquo object as background map using theoption lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoMaprsquo object can be directly extract using $attdata

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe maptools packagersquo httpcranr-projectorgdocpackagesmaptoolspdf

See Also

polylist2listspdf2list

Examples

x lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdata

meuseall Meuse river data set - original full data set

Description

This data set gives locations and top soil heavy metal concentrations (ppm) along with a numberof soil and landscape variables collected in a flood plain of the river Meuse near the village SteinHeavy metal concentrations are bulk sampled from an area of approximately 15times 15m

Usage

data(meuseall)

40 histobarmap

color 0 or 1 choice of representation of selected points If 0 sites are represented inblue if 1 sites are represented with different colors for each factor of var1

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

nbcol number of cells for histogram (10 by default)

labvar list of names for variable lsquovar1rsquo and lsquovar2rsquo

labmod names of factors lsquovarrsquo

listvar matrix of variables fo size ntimes p for optional additional graph and bubbles

listnomvar list of character of size p with names of variables in rsquolistvarrsquo

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Each site is associated to a factor of var1 and to a value of var2 There is interactivity betweenthe three windows created the sites selected by a bar on the bar plot or on the histogram arerepresented on the map in red and the value and factor of sites selected on the map are representedin red on the bar plot and on the histogram

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap dbledensitymap

histomap 41

Examples

Data Colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-histobarmap(colombuscontours$Xcolombuscontours$Ycolombus$CPcolombus$HOVALlabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

Data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histobarmap(eire$V1eire$V2eire$paleeire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Appartenance agravela reacutegion du Palelabmod=c(Hors PalePale))

histomap Interactive Histogram and map

Description

The function lsquohistomaprsquo draws a histogram of the given variable var and a map with sites of coor-dinates (long lat) Each site is associated to a value of var and there is interactivity between thetwo windows

Usage

histomap(long lat var nbcol = 10 listvar = NULLlistnomvar = NULL criteria = NULL carte = NULL label = symbol = 0 color = 1 labvar = axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

nbcol number of cells for histogram (10 by default)

listvar matrix of variables

listnomvar names of variables listvar

42 histomap

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Sites selected by a bar on the histogram are represented on the map in red and the values of sitesselected on the map by lsquopointsrsquo or lsquopolygonrsquo are represented in red as a sub-histogram on thehistogram

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

histomap histobarmap scattermap densitymap

makedistanceW 43

Examples

data oldcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)histomap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcollistnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME))carte=contoursOLD)

data afcondata(afcon)histomap(afcon$xafcon$yafcon$totconlistvar=afconlistnomvar=names(afcon)criteria=(afcon$totcongtmean(afcon$totcon))label=afcon$name)

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histomap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

makedistanceW Spatial weight matrix based on distance threshold

Description

The function lsquomakedistanceWrsquo creates a spatial weight matrix based on a threshold distance as-signy 1 if the distance between the two sites is lower or equal to a given threshold and 0 otherwise

Usage

makedistanceW(x y distance)

Arguments

x a vector x of size n

y a vector y of size n

distance threshold point

Details

If site i is seperated from j by a distance lower or equal to a given threshold

Wij = 1

elseWij = 0

44 makeneighborsw

Value

A matrix W of size ntimes n containing 0 and 1

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapmakeneighborswnormwfindneighbors

Examples

data aucklanddata(auckland)Wlt-makedistanceW(auckland$Eastingauckland$Northing5)

makeneighborsw Spatial weight matrix based on nearest neighbors

Description

The function lsquomakeneighborswrsquo creates a spatial weight matrix based on a given number of nearestneighbors

Usage

makeneighborsw(xc yc m cum = TRUE)

Arguments

xc a vector x of size n

yc a vector y of size n

m number of nearest neighbors

cum if cum=TRUE W is the sum of spatial weight matrix based on k nearest neigh-bours (for k le m if FALSE W is the spatial weight matrix based only on mth

nearest neighbours

map2list 45

Details

For each site we order the other sites by their distance from this site If cum=TRUE for i if j isamong the mth nearest sites then

Wij = 1

elseWij = 0

If cum=FALSE for si if sj is the mth nearest site then

Wij = 1

elseWij = 0

In case of ties the nearest neighbour is randomly chosen

Value

A spatial weight matrix of size ntimes n

Author(s)

Aragon Y Thomas-Agnan C Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapfindneighborsmakedistanceWnormw

Examples

data aucklanddata(auckland)Wlt-makeneighborsw(auckland$Eastingauckland$Northing5)

map2list Extract from a lsquoMaprsquo object the middle coordinates of boundary boxand the vertices of the polygons (in the case where polygons are given)

Description

The function lsquomap2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into the lsquoMaprsquo object it extracts the vertices of the polygons seperatingpolygons from each other by 3 rows of NaN

Usage

map2list(data)

46 meuseall

Arguments

data A lsquoMaprsquo object

Details

The user can then represent the coordinates of sites of a lsquoMaprsquo object as background map using theoption lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoMaprsquo object can be directly extract using $attdata

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe maptools packagersquo httpcranr-projectorgdocpackagesmaptoolspdf

See Also

polylist2listspdf2list

Examples

x lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdata

meuseall Meuse river data set - original full data set

Description

This data set gives locations and top soil heavy metal concentrations (ppm) along with a numberof soil and landscape variables collected in a flood plain of the river Meuse near the village SteinHeavy metal concentrations are bulk sampled from an area of approximately 15times 15m

Usage

data(meuseall)

histomap 41

Examples

Data Colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-histobarmap(colombuscontours$Xcolombuscontours$Ycolombus$CPcolombus$HOVALlabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

Data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histobarmap(eire$V1eire$V2eire$paleeire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Appartenance agravela reacutegion du Palelabmod=c(Hors PalePale))

histomap Interactive Histogram and map

Description

The function lsquohistomaprsquo draws a histogram of the given variable var and a map with sites of coor-dinates (long lat) Each site is associated to a value of var and there is interactivity between thetwo windows

Usage

histomap(long lat var nbcol = 10 listvar = NULLlistnomvar = NULL criteria = NULL carte = NULL label = symbol = 0 color = 1 labvar = axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

nbcol number of cells for histogram (10 by default)

listvar matrix of variables

listnomvar names of variables listvar

42 histomap

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Sites selected by a bar on the histogram are represented on the map in red and the values of sitesselected on the map by lsquopointsrsquo or lsquopolygonrsquo are represented in red as a sub-histogram on thehistogram

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

histomap histobarmap scattermap densitymap

makedistanceW 43

Examples

data oldcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)histomap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcollistnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME))carte=contoursOLD)

data afcondata(afcon)histomap(afcon$xafcon$yafcon$totconlistvar=afconlistnomvar=names(afcon)criteria=(afcon$totcongtmean(afcon$totcon))label=afcon$name)

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histomap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

makedistanceW Spatial weight matrix based on distance threshold

Description

The function lsquomakedistanceWrsquo creates a spatial weight matrix based on a threshold distance as-signy 1 if the distance between the two sites is lower or equal to a given threshold and 0 otherwise

Usage

makedistanceW(x y distance)

Arguments

x a vector x of size n

y a vector y of size n

distance threshold point

Details

If site i is seperated from j by a distance lower or equal to a given threshold

Wij = 1

elseWij = 0

44 makeneighborsw

Value

A matrix W of size ntimes n containing 0 and 1

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapmakeneighborswnormwfindneighbors

Examples

data aucklanddata(auckland)Wlt-makedistanceW(auckland$Eastingauckland$Northing5)

makeneighborsw Spatial weight matrix based on nearest neighbors

Description

The function lsquomakeneighborswrsquo creates a spatial weight matrix based on a given number of nearestneighbors

Usage

makeneighborsw(xc yc m cum = TRUE)

Arguments

xc a vector x of size n

yc a vector y of size n

m number of nearest neighbors

cum if cum=TRUE W is the sum of spatial weight matrix based on k nearest neigh-bours (for k le m if FALSE W is the spatial weight matrix based only on mth

nearest neighbours

map2list 45

Details

For each site we order the other sites by their distance from this site If cum=TRUE for i if j isamong the mth nearest sites then

Wij = 1

elseWij = 0

If cum=FALSE for si if sj is the mth nearest site then

Wij = 1

elseWij = 0

In case of ties the nearest neighbour is randomly chosen

Value

A spatial weight matrix of size ntimes n

Author(s)

Aragon Y Thomas-Agnan C Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapfindneighborsmakedistanceWnormw

Examples

data aucklanddata(auckland)Wlt-makeneighborsw(auckland$Eastingauckland$Northing5)

map2list Extract from a lsquoMaprsquo object the middle coordinates of boundary boxand the vertices of the polygons (in the case where polygons are given)

Description

The function lsquomap2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into the lsquoMaprsquo object it extracts the vertices of the polygons seperatingpolygons from each other by 3 rows of NaN

Usage

map2list(data)

46 meuseall

Arguments

data A lsquoMaprsquo object

Details

The user can then represent the coordinates of sites of a lsquoMaprsquo object as background map using theoption lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoMaprsquo object can be directly extract using $attdata

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe maptools packagersquo httpcranr-projectorgdocpackagesmaptoolspdf

See Also

polylist2listspdf2list

Examples

x lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdata

meuseall Meuse river data set - original full data set

Description

This data set gives locations and top soil heavy metal concentrations (ppm) along with a numberof soil and landscape variables collected in a flood plain of the river Meuse near the village SteinHeavy metal concentrations are bulk sampled from an area of approximately 15times 15m

Usage

data(meuseall)

42 histomap

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Sites selected by a bar on the histogram are represented on the map in red and the values of sitesselected on the map by lsquopointsrsquo or lsquopolygonrsquo are represented in red as a sub-histogram on thehistogram

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

histomap histobarmap scattermap densitymap

makedistanceW 43

Examples

data oldcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)histomap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcollistnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME))carte=contoursOLD)

data afcondata(afcon)histomap(afcon$xafcon$yafcon$totconlistvar=afconlistnomvar=names(afcon)criteria=(afcon$totcongtmean(afcon$totcon))label=afcon$name)

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histomap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

makedistanceW Spatial weight matrix based on distance threshold

Description

The function lsquomakedistanceWrsquo creates a spatial weight matrix based on a threshold distance as-signy 1 if the distance between the two sites is lower or equal to a given threshold and 0 otherwise

Usage

makedistanceW(x y distance)

Arguments

x a vector x of size n

y a vector y of size n

distance threshold point

Details

If site i is seperated from j by a distance lower or equal to a given threshold

Wij = 1

elseWij = 0

44 makeneighborsw

Value

A matrix W of size ntimes n containing 0 and 1

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapmakeneighborswnormwfindneighbors

Examples

data aucklanddata(auckland)Wlt-makedistanceW(auckland$Eastingauckland$Northing5)

makeneighborsw Spatial weight matrix based on nearest neighbors

Description

The function lsquomakeneighborswrsquo creates a spatial weight matrix based on a given number of nearestneighbors

Usage

makeneighborsw(xc yc m cum = TRUE)

Arguments

xc a vector x of size n

yc a vector y of size n

m number of nearest neighbors

cum if cum=TRUE W is the sum of spatial weight matrix based on k nearest neigh-bours (for k le m if FALSE W is the spatial weight matrix based only on mth

nearest neighbours

map2list 45

Details

For each site we order the other sites by their distance from this site If cum=TRUE for i if j isamong the mth nearest sites then

Wij = 1

elseWij = 0

If cum=FALSE for si if sj is the mth nearest site then

Wij = 1

elseWij = 0

In case of ties the nearest neighbour is randomly chosen

Value

A spatial weight matrix of size ntimes n

Author(s)

Aragon Y Thomas-Agnan C Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapfindneighborsmakedistanceWnormw

Examples

data aucklanddata(auckland)Wlt-makeneighborsw(auckland$Eastingauckland$Northing5)

map2list Extract from a lsquoMaprsquo object the middle coordinates of boundary boxand the vertices of the polygons (in the case where polygons are given)

Description

The function lsquomap2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into the lsquoMaprsquo object it extracts the vertices of the polygons seperatingpolygons from each other by 3 rows of NaN

Usage

map2list(data)

46 meuseall

Arguments

data A lsquoMaprsquo object

Details

The user can then represent the coordinates of sites of a lsquoMaprsquo object as background map using theoption lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoMaprsquo object can be directly extract using $attdata

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe maptools packagersquo httpcranr-projectorgdocpackagesmaptoolspdf

See Also

polylist2listspdf2list

Examples

x lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdata

meuseall Meuse river data set - original full data set

Description

This data set gives locations and top soil heavy metal concentrations (ppm) along with a numberof soil and landscape variables collected in a flood plain of the river Meuse near the village SteinHeavy metal concentrations are bulk sampled from an area of approximately 15times 15m

Usage

data(meuseall)

makedistanceW 43

Examples

data oldcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)histomap(oldcol$Xoldcol$Yoldcol$CRIMElistvar=oldcollistnomvar=names(oldcol)criteria=(oldcol$CRIMEgtmean(oldcol$CRIME))carte=contoursOLD)

data afcondata(afcon)histomap(afcon$xafcon$yafcon$totconlistvar=afconlistnomvar=names(afcon)criteria=(afcon$totcongtmean(afcon$totcon))label=afcon$name)

data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)histomap(eire$V1eire$V2eire$Acarte=eirecontourslistvar=eirelistnomvar=names(eire)labvar=Taux dindividus au groupe sanguin A)

makedistanceW Spatial weight matrix based on distance threshold

Description

The function lsquomakedistanceWrsquo creates a spatial weight matrix based on a threshold distance as-signy 1 if the distance between the two sites is lower or equal to a given threshold and 0 otherwise

Usage

makedistanceW(x y distance)

Arguments

x a vector x of size n

y a vector y of size n

distance threshold point

Details

If site i is seperated from j by a distance lower or equal to a given threshold

Wij = 1

elseWij = 0

44 makeneighborsw

Value

A matrix W of size ntimes n containing 0 and 1

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapmakeneighborswnormwfindneighbors

Examples

data aucklanddata(auckland)Wlt-makedistanceW(auckland$Eastingauckland$Northing5)

makeneighborsw Spatial weight matrix based on nearest neighbors

Description

The function lsquomakeneighborswrsquo creates a spatial weight matrix based on a given number of nearestneighbors

Usage

makeneighborsw(xc yc m cum = TRUE)

Arguments

xc a vector x of size n

yc a vector y of size n

m number of nearest neighbors

cum if cum=TRUE W is the sum of spatial weight matrix based on k nearest neigh-bours (for k le m if FALSE W is the spatial weight matrix based only on mth

nearest neighbours

map2list 45

Details

For each site we order the other sites by their distance from this site If cum=TRUE for i if j isamong the mth nearest sites then

Wij = 1

elseWij = 0

If cum=FALSE for si if sj is the mth nearest site then

Wij = 1

elseWij = 0

In case of ties the nearest neighbour is randomly chosen

Value

A spatial weight matrix of size ntimes n

Author(s)

Aragon Y Thomas-Agnan C Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapfindneighborsmakedistanceWnormw

Examples

data aucklanddata(auckland)Wlt-makeneighborsw(auckland$Eastingauckland$Northing5)

map2list Extract from a lsquoMaprsquo object the middle coordinates of boundary boxand the vertices of the polygons (in the case where polygons are given)

Description

The function lsquomap2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into the lsquoMaprsquo object it extracts the vertices of the polygons seperatingpolygons from each other by 3 rows of NaN

Usage

map2list(data)

46 meuseall

Arguments

data A lsquoMaprsquo object

Details

The user can then represent the coordinates of sites of a lsquoMaprsquo object as background map using theoption lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoMaprsquo object can be directly extract using $attdata

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe maptools packagersquo httpcranr-projectorgdocpackagesmaptoolspdf

See Also

polylist2listspdf2list

Examples

x lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdata

meuseall Meuse river data set - original full data set

Description

This data set gives locations and top soil heavy metal concentrations (ppm) along with a numberof soil and landscape variables collected in a flood plain of the river Meuse near the village SteinHeavy metal concentrations are bulk sampled from an area of approximately 15times 15m

Usage

data(meuseall)

44 makeneighborsw

Value

A matrix W of size ntimes n containing 0 and 1

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapmakeneighborswnormwfindneighbors

Examples

data aucklanddata(auckland)Wlt-makedistanceW(auckland$Eastingauckland$Northing5)

makeneighborsw Spatial weight matrix based on nearest neighbors

Description

The function lsquomakeneighborswrsquo creates a spatial weight matrix based on a given number of nearestneighbors

Usage

makeneighborsw(xc yc m cum = TRUE)

Arguments

xc a vector x of size n

yc a vector y of size n

m number of nearest neighbors

cum if cum=TRUE W is the sum of spatial weight matrix based on k nearest neigh-bours (for k le m if FALSE W is the spatial weight matrix based only on mth

nearest neighbours

map2list 45

Details

For each site we order the other sites by their distance from this site If cum=TRUE for i if j isamong the mth nearest sites then

Wij = 1

elseWij = 0

If cum=FALSE for si if sj is the mth nearest site then

Wij = 1

elseWij = 0

In case of ties the nearest neighbour is randomly chosen

Value

A spatial weight matrix of size ntimes n

Author(s)

Aragon Y Thomas-Agnan C Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapfindneighborsmakedistanceWnormw

Examples

data aucklanddata(auckland)Wlt-makeneighborsw(auckland$Eastingauckland$Northing5)

map2list Extract from a lsquoMaprsquo object the middle coordinates of boundary boxand the vertices of the polygons (in the case where polygons are given)

Description

The function lsquomap2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into the lsquoMaprsquo object it extracts the vertices of the polygons seperatingpolygons from each other by 3 rows of NaN

Usage

map2list(data)

46 meuseall

Arguments

data A lsquoMaprsquo object

Details

The user can then represent the coordinates of sites of a lsquoMaprsquo object as background map using theoption lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoMaprsquo object can be directly extract using $attdata

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe maptools packagersquo httpcranr-projectorgdocpackagesmaptoolspdf

See Also

polylist2listspdf2list

Examples

x lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdata

meuseall Meuse river data set - original full data set

Description

This data set gives locations and top soil heavy metal concentrations (ppm) along with a numberof soil and landscape variables collected in a flood plain of the river Meuse near the village SteinHeavy metal concentrations are bulk sampled from an area of approximately 15times 15m

Usage

data(meuseall)

map2list 45

Details

For each site we order the other sites by their distance from this site If cum=TRUE for i if j isamong the mth nearest sites then

Wij = 1

elseWij = 0

If cum=FALSE for si if sj is the mth nearest site then

Wij = 1

elseWij = 0

In case of ties the nearest neighbour is randomly chosen

Value

A spatial weight matrix of size ntimes n

Author(s)

Aragon Y Thomas-Agnan C Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapfindneighborsmakedistanceWnormw

Examples

data aucklanddata(auckland)Wlt-makeneighborsw(auckland$Eastingauckland$Northing5)

map2list Extract from a lsquoMaprsquo object the middle coordinates of boundary boxand the vertices of the polygons (in the case where polygons are given)

Description

The function lsquomap2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into the lsquoMaprsquo object it extracts the vertices of the polygons seperatingpolygons from each other by 3 rows of NaN

Usage

map2list(data)

46 meuseall

Arguments

data A lsquoMaprsquo object

Details

The user can then represent the coordinates of sites of a lsquoMaprsquo object as background map using theoption lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoMaprsquo object can be directly extract using $attdata

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe maptools packagersquo httpcranr-projectorgdocpackagesmaptoolspdf

See Also

polylist2listspdf2list

Examples

x lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdata

meuseall Meuse river data set - original full data set

Description

This data set gives locations and top soil heavy metal concentrations (ppm) along with a numberof soil and landscape variables collected in a flood plain of the river Meuse near the village SteinHeavy metal concentrations are bulk sampled from an area of approximately 15times 15m

Usage

data(meuseall)

46 meuseall

Arguments

data A lsquoMaprsquo object

Details

The user can then represent the coordinates of sites of a lsquoMaprsquo object as background map using theoption lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoMaprsquo object can be directly extract using $attdata

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe maptools packagersquo httpcranr-projectorgdocpackagesmaptoolspdf

See Also

polylist2listspdf2list

Examples

x lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdata

meuseall Meuse river data set - original full data set

Description

This data set gives locations and top soil heavy metal concentrations (ppm) along with a numberof soil and landscape variables collected in a flood plain of the river Meuse near the village SteinHeavy metal concentrations are bulk sampled from an area of approximately 15times 15m

Usage

data(meuseall)

meuseall 47

Format

A data frame with 164 observations on the following 17 variables

sample sample number

x a numeric vector x-coordinate (m) in RDM (Dutch topographical map coordinates)

y a numeric vector y-coordinate (m) in RDM (Dutch topographical map coordinates)

cadmium topsoil cadmium concentration ppm note that zero cadmium values in the originaldata set have been shifted to 02 (half the lowest non-zero value)

copper topsoil copper concentration ppm

lead lead topsoil lead concentration ppm

zinc topsoil zinc concentration ppm

elev elev relative elevation

distm distance to river Meuse (metres) as obtained during the field survey

om organic matter as percentage

ffreq flooding frequency class

soil soil type

lime lime class

landuse landuse class

inpit logical indicates whether this is a sample taken in a pit

inmeuse155 logical indicates whether the sample is part of the lsquomeusersquo (ie filtered) data setin addition to the samples in a pit an sample (139) with outlying zinc content was removed

inBMcD logical indicates whether the sample is used as part of the subset of 98 points in thevarious interpolation examples of Burrough amp McDonnell

Details

This data set provides from gstat package

Source

The actual field data were collected by Ruud van Rijn and Mathieu Rikken data compiled for R byEdzer J Pebesma

References

PA Burrough RA McDonnell 1998 Principles of Geographical Information Systems OxfordUniversity Press httpwwwgstatorg

Examples

data(meuseall)

48 moranplotmap

meuseriv River Meuse outline

Description

The lsquomeuserivrsquo data consists of an outline of the Meuse river in the area a few kilometers aroundthe meuse data set

Usage

data(meuseriv)

Format

This data frame contains a 176times 2 matrix with coordinates

Details

This data set provides from spdep package

Source

The actual field data were collected by Ruud van Rijn and Mathieu Rikken data compiled for R byEdzer J Pebesma

References

PA Burrough RA McDonnell 1998 Principles of Geographical Information Systems OxfordUniversity Press httpwwwgstatorg

Examples

data(meuseriv)

moranplotmap Moran scatterplot and map

Description

The function lsquomoranplotmaprsquo draws a graphic used to detect spatial autocorrelation in the variablevar On the x-absis is represented (var minus macrvar) and on the y-absis W (var minus macrvar) where W isthe spatial weight matrix It also calcultes also Moranrsquos I statistic (see nonnormoranr) and give ap-value associated to the autocorrelation test (gaussian version and permutation version)

Usage

moranplotmap(long lat var W flower = 0 opt1 = 1locmoran = 0 listvar = NULL listnomvar = NULLcarte = NULL criteria = NULL label = symbol = 0labvar = axis = FALSE lablong = lablat = )

moranplotmap 49

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

W A spatial weigth matrix of size ntimes n

flower link neighbouring sites (0 no link (by default) and 1 link (for points or poly-gon))

opt1 2 for drawing regression line for model W (X minus X) = β(X minus X) + u else 1

locmoran prints local Moranrsquos I statistic (0 no draw (by default) and 1 draw (for pointsor polygon))

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of variable var

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

50 moranplotmap

Details

For the permutation test for each drawing the values of the variable var are randomly assigned tothe sites We then calculate MoranrsquoI statistic associated to each drawing and we give the frequencyof drawings when MoranrsquoI statistic is lower or equal to the observed MoranrsquoI statistic Moreoverthe function gives the opportunity to link neighbouring sites and give Local Moranrsquos I statistic Fora site i

Ii = (vari minus (var))sum

j

Wij(varj minus macrvar)

with j not equal to i

Value

Returns obs vector of size n of boolean with selected sites and MoranrsquoI statistic MORAN

Note

The spatial weigth matrix has been normalized Like that the MoranrsquoI statistic is equal to β used inregression line for model W (X minus X) = β(X minus X) + u

Author(s)

Aragon Y Thomas-Agnan C Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Jim Lesage ldquoSpatial Econometrics Toolboxrdquo httpwwwspatial-econometricscom

See Also

neighbourmapmakeneighborswmakedistanceWnormwnonormmoran

Examples

data baltimoredata(baltimore)W lt- makeneighborsw(baltimore$Xbaltimore$Y4)moranplotmap(baltimore$Xbaltimore$Ybaltimore$PRICEWlabel=baltimore$STATIONcriteria=(baltimore$PRICEgtmean(baltimore$PRICE))listvar=baltimorelistnomvar=names(baltimore)axis=TRUElablong=Xlablat=Yflower=1locmoran=1opt1=2)

50 moranplotmap

Details

For the permutation test for each drawing the values of the variable var are randomly assigned tothe sites We then calculate MoranrsquoI statistic associated to each drawing and we give the frequencyof drawings when MoranrsquoI statistic is lower or equal to the observed MoranrsquoI statistic Moreoverthe function gives the opportunity to link neighbouring sites and give Local Moranrsquos I statistic Fora site i

Ii = (vari minus (var))sum

j

Wij(varj minus macrvar)

with j not equal to i

Value

Returns obs vector of size n of boolean with selected sites and MoranrsquoI statistic MORAN

Note

The spatial weigth matrix has been normalized Like that the MoranrsquoI statistic is equal to β used inregression line for model W (X minus X) = β(X minus X) + u

Author(s)

Aragon Y Thomas-Agnan C Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Jim Lesage ldquoSpatial Econometrics Toolboxrdquo httpwwwspatial-econometricscom

See Also

neighbourmapmakeneighborswmakedistanceWnormwnonormmoran

Examples

data baltimoredata(baltimore)W lt- makeneighborsw(baltimore$Xbaltimore$Y4)moranplotmap(baltimore$Xbaltimore$Ybaltimore$PRICEWlabel=baltimore$STATIONcriteria=(baltimore$PRICEgtmean(baltimore$PRICE))listvar=baltimorelistnomvar=names(baltimore)axis=TRUElablong=Xlablat=Yflower=1locmoran=1opt1=2)

neighbourmap 51

neighbourmap Neighbour plot and map

Description

The function lsquoneighbourmaprsquo identifies spatial outliers by comparing a variable value for a partic-ular site with these of its neighbouring sites It draws a scatterplot of the values of the variable atneighbouring sites for a neighbourhood structure given by a binary weight matrix W and links thisscatterplot with a map

Usage

neighbourmap(long lat var Wlistvar=NULL listnomvar=NULLcarte=NULLcriteria=NULLlabel=symbol=0labvar=c()opt1=0axis=FALSElablong= lablat=)

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

W A spatial weigth matrix of size ntimes n

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

labvar names of variable var

52 neighbourmap

opt1 0=graphic only 1=drawing of the linear predictor for lsquoresponsersquo in linear model

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

For a selected site j on the map are represented on the map its neighbours and on the graph on thex-axis the value of var for this site and in y-axis the values of var for the neighbouring sites of jFor a selected point on the graph the corresponding pair of sites is represented on the map with alink

Value

Returns a matrix of size ntimes n of boolean with TRUE if pair (i j) was in the last selection

Note

When user select sites on the graph or on the map he cannot add a selection by using the othergraphic

Author(s)

Aragon Y Thomas-Agnan C Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapmakeneighborswmakedistanceWnormwnonormmoran

Examples

data oldcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)W lt- makeneighborsw(oldcol$Xoldcol$Y4)obslt-neighbourmap(oldcol$Xoldcol$Yoldcol$CRIMEWcarte=contoursOLDcriteria=(oldcol$CRIMEgtmean(oldcol$CRIME))listvar=oldcollistnomvar=names(oldcol))

nonormmoran 53

nonormmoran Detection of spatial autocorrelation

Description

The function lsquononnormmoranrsquo is used to detect spatial autocorrelation in the residuals u from theleast squares model Y = β timesX + u It calculates Moranrsquos I statistic of the residuals based on thegaussian asymptotic distribution and give a p-value associated to the test of spatial autocorrelation(gaussian version)

Usage

nonormmoran(y x W)

Arguments

y vector of size n of dependent variable

x matrix ntimes p containing explanatory variables

W spatial weight matrix

Details

W is supposed standartized

I =uprimeWu

uprimeu

I sim N(E(I) var(I))

let M = (I minusX(X primeX)minus1X prime)

E(I) =tr(MW )

nminus k

d =nminus p

n + p + 2

V (I) = [tr(MWMW prime) + tr(MW )2 + (tr(MW ))2]dminus E(I)2

ZI =I minus E(I)v(I)12

Value

(nobsnvarmoraniimeanistativarprob) where lsquonobsrsquo is the number of observations lsquonvarrsquo thenumber of explanatory variables lsquomoranirsquo is the Moranrsquos I statistic estimate lsquoimeanrsquo is E(I)ivar is var(I) lsquoistatrsquo is the normalized Moranrsquos I statistic (corresponding to ZI ) and lsquoprobrsquo theassociated p-value

Author(s)

Translated into R from Jim Lessagersquos ldquoSpatial Econometrics Toolboxrdquo httpwwwspatial-econometricscom

52 neighbourmap

opt1 0=graphic only 1=drawing of the linear predictor for lsquoresponsersquo in linear model

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

For a selected site j on the map are represented on the map its neighbours and on the graph on thex-axis the value of var for this site and in y-axis the values of var for the neighbouring sites of jFor a selected point on the graph the corresponding pair of sites is represented on the map with alink

Value

Returns a matrix of size ntimes n of boolean with TRUE if pair (i j) was in the last selection

Note

When user select sites on the graph or on the map he cannot add a selection by using the othergraphic

Author(s)

Aragon Y Thomas-Agnan C Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapmakeneighborswmakedistanceWnormwnonormmoran

Examples

data oldcoldata(oldcol)data(oldcolpolys)contoursOLDlt-polylist2list(oldcolpolys)W lt- makeneighborsw(oldcol$Xoldcol$Y4)obslt-neighbourmap(oldcol$Xoldcol$Yoldcol$CRIMEWcarte=contoursOLDcriteria=(oldcol$CRIMEgtmean(oldcol$CRIME))listvar=oldcollistnomvar=names(oldcol))

nonormmoran 53

nonormmoran Detection of spatial autocorrelation

Description

The function lsquononnormmoranrsquo is used to detect spatial autocorrelation in the residuals u from theleast squares model Y = β timesX + u It calculates Moranrsquos I statistic of the residuals based on thegaussian asymptotic distribution and give a p-value associated to the test of spatial autocorrelation(gaussian version)

Usage

nonormmoran(y x W)

Arguments

y vector of size n of dependent variable

x matrix ntimes p containing explanatory variables

W spatial weight matrix

Details

W is supposed standartized

I =uprimeWu

uprimeu

I sim N(E(I) var(I))

let M = (I minusX(X primeX)minus1X prime)

E(I) =tr(MW )

nminus k

d =nminus p

n + p + 2

V (I) = [tr(MWMW prime) + tr(MW )2 + (tr(MW ))2]dminus E(I)2

ZI =I minus E(I)v(I)12

Value

(nobsnvarmoraniimeanistativarprob) where lsquonobsrsquo is the number of observations lsquonvarrsquo thenumber of explanatory variables lsquomoranirsquo is the Moranrsquos I statistic estimate lsquoimeanrsquo is E(I)ivar is var(I) lsquoistatrsquo is the normalized Moranrsquos I statistic (corresponding to ZI ) and lsquoprobrsquo theassociated p-value

Author(s)

Translated into R from Jim Lessagersquos ldquoSpatial Econometrics Toolboxrdquo httpwwwspatial-econometricscom

nonormmoran 53

nonormmoran Detection of spatial autocorrelation

Description

The function lsquononnormmoranrsquo is used to detect spatial autocorrelation in the residuals u from theleast squares model Y = β timesX + u It calculates Moranrsquos I statistic of the residuals based on thegaussian asymptotic distribution and give a p-value associated to the test of spatial autocorrelation(gaussian version)

Usage

nonormmoran(y x W)

Arguments

y vector of size n of dependent variable

x matrix ntimes p containing explanatory variables

W spatial weight matrix

Details

W is supposed standartized

I =uprimeWu

uprimeu

I sim N(E(I) var(I))

let M = (I minusX(X primeX)minus1X prime)

E(I) =tr(MW )

nminus k

d =nminus p

n + p + 2

V (I) = [tr(MWMW prime) + tr(MW )2 + (tr(MW ))2]dminus E(I)2

ZI =I minus E(I)v(I)12

Value

(nobsnvarmoraniimeanistativarprob) where lsquonobsrsquo is the number of observations lsquonvarrsquo thenumber of explanatory variables lsquomoranirsquo is the Moranrsquos I statistic estimate lsquoimeanrsquo is E(I)ivar is var(I) lsquoistatrsquo is the normalized Moranrsquos I statistic (corresponding to ZI ) and lsquoprobrsquo theassociated p-value

Author(s)

Translated into R from Jim Lessagersquos ldquoSpatial Econometrics Toolboxrdquo httpwwwspatial-econometricscom

54 normw

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

moranplotmapneighbourmapmakeneighborswmakedistanceWnormw

Examples

data baltimoredata(baltimore)W lt- makeneighborsw(baltimore$Xbaltimore$Y4)nonormmoran(baltimore$PRICEbaltimore[1415]W)

normw Normalize a spatial weight matrix

Description

The function lsquonormwrsquo normalizes a spatial weight matrix

Usage

normw(w)

Arguments

w A spatial weight matrix of size ntimes n

Details

Wij =Wijsumk Wik

Value

A matrix of size ntimes n

Author(s)

Aragon Y Thomas-Agnan C Ruiz-Gazen A Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

neighbourmap moranplotmapmakedistanceWmakeneighborsw

oldcol 55

Examples

data aucklanddata(auckland)Wlt-makedistanceW(auckland$Eastingauckland$Northing5)W2lt-normw(W)

oldcol Columbus OH spatial analysis data set

Description

The columbus data frame has 49 observations and 22 columns Unit of analysis 49 neighbourhoodsin Columbus OH 1980 data

Usage

data(oldcol)

Format

A data frame with 49 observations on the following 22 variables

PERIMETER Computed by ArcView

COLUMBUS internal polygon ID

COLUMBUSI another internal polygon ID

POLYID yet another internal polygon ID

NEIG neighbourhood id value (1-49) conforms to id value used in Spatial Econometrics book

HOVAL housing value (in 1000 dollars)

INC household income (in 1000 dollars)

CRIME residential burglaries and vehicle thefts per thousand households in the neighborhood

OPEN open space in the neighborhood

PLUMB percentage housing units without plumbing

DISCBD distance to CBD

X x coordinate

Y y coordinate

AREA neighborhood area

NSA north south dummy (North=1)

NSB north south dummy (North=1)

EW east west dummy (East=1)

CP core-periphery dummy (Core=1)

THOUS constant=1000

NEIGNO Neig+1000 alternative neighborhood id value

PERIM polygon perimeter

56 oldcolpolys

Note

This data file prepared by Luc Anselin Spatial Analysis Laboratory Department of Agriculture andConsumer Economics University of Illinois Urbana-Champaign

Source

Anselin Luc (1988) ldquoSpatial econometrics methods and modelsrdquo Dordrecht Kluwer AcademicTable 121 p 189

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

Examples

data(oldcol)

oldcolpolys Spatial polygonal contours of oldcol dataset

Description

A lsquopolylistrsquo object for drawing spatial polygonal contours of oldcol dataset

Usage

data(oldcolpolys)

Format

The format is a list of polygons of class lsquopolylistrsquo

Details

This object is used in the lsquospdeprsquo package created by Roger Bivand In the lsquoGeoXprsquo packagewe donrsquot use lsquopolylistrsquo lsquoSpatialPolygonrsquo or lsquoMaprsquo object because a site can only be representedby a pair of coordinates and not by a polygonnal contour However users have the possibil-ity to repesent spatial polygonal contours as a backgroud map Thatrsquos why we create functionslsquosp2listrsquolsquopolylist2listrsquo and lsquomap2listrsquo for extracting of spatial object only the vertices of the poly-gons

Note

This data file prepared by Luc Anselin Spatial Analysis Laboratory Department of Agriculture andConsumer Economics University of Illinois Urbana-Champaign

Source

Anselin Luc (1988) ldquoSpatial econometrics methods and modelsrdquo Dordrecht Kluwer AcademicTable 121 p 189

oldcol 55

Examples

data aucklanddata(auckland)Wlt-makedistanceW(auckland$Eastingauckland$Northing5)W2lt-normw(W)

oldcol Columbus OH spatial analysis data set

Description

The columbus data frame has 49 observations and 22 columns Unit of analysis 49 neighbourhoodsin Columbus OH 1980 data

Usage

data(oldcol)

Format

A data frame with 49 observations on the following 22 variables

PERIMETER Computed by ArcView

COLUMBUS internal polygon ID

COLUMBUSI another internal polygon ID

POLYID yet another internal polygon ID

NEIG neighbourhood id value (1-49) conforms to id value used in Spatial Econometrics book

HOVAL housing value (in 1000 dollars)

INC household income (in 1000 dollars)

CRIME residential burglaries and vehicle thefts per thousand households in the neighborhood

OPEN open space in the neighborhood

PLUMB percentage housing units without plumbing

DISCBD distance to CBD

X x coordinate

Y y coordinate

AREA neighborhood area

NSA north south dummy (North=1)

NSB north south dummy (North=1)

EW east west dummy (East=1)

CP core-periphery dummy (Core=1)

THOUS constant=1000

NEIGNO Neig+1000 alternative neighborhood id value

PERIM polygon perimeter

56 oldcolpolys

Note

This data file prepared by Luc Anselin Spatial Analysis Laboratory Department of Agriculture andConsumer Economics University of Illinois Urbana-Champaign

Source

Anselin Luc (1988) ldquoSpatial econometrics methods and modelsrdquo Dordrecht Kluwer AcademicTable 121 p 189

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

Examples

data(oldcol)

oldcolpolys Spatial polygonal contours of oldcol dataset

Description

A lsquopolylistrsquo object for drawing spatial polygonal contours of oldcol dataset

Usage

data(oldcolpolys)

Format

The format is a list of polygons of class lsquopolylistrsquo

Details

This object is used in the lsquospdeprsquo package created by Roger Bivand In the lsquoGeoXprsquo packagewe donrsquot use lsquopolylistrsquo lsquoSpatialPolygonrsquo or lsquoMaprsquo object because a site can only be representedby a pair of coordinates and not by a polygonnal contour However users have the possibil-ity to repesent spatial polygonal contours as a backgroud map Thatrsquos why we create functionslsquosp2listrsquolsquopolylist2listrsquo and lsquomap2listrsquo for extracting of spatial object only the vertices of the poly-gons

Note

This data file prepared by Luc Anselin Spatial Analysis Laboratory Department of Agriculture andConsumer Economics University of Illinois Urbana-Champaign

Source

Anselin Luc (1988) ldquoSpatial econometrics methods and modelsrdquo Dordrecht Kluwer AcademicTable 121 p 189

56 oldcolpolys

Note

This data file prepared by Luc Anselin Spatial Analysis Laboratory Department of Agriculture andConsumer Economics University of Illinois Urbana-Champaign

Source

Anselin Luc (1988) ldquoSpatial econometrics methods and modelsrdquo Dordrecht Kluwer AcademicTable 121 p 189

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

Examples

data(oldcol)

oldcolpolys Spatial polygonal contours of oldcol dataset

Description

A lsquopolylistrsquo object for drawing spatial polygonal contours of oldcol dataset

Usage

data(oldcolpolys)

Format

The format is a list of polygons of class lsquopolylistrsquo

Details

This object is used in the lsquospdeprsquo package created by Roger Bivand In the lsquoGeoXprsquo packagewe donrsquot use lsquopolylistrsquo lsquoSpatialPolygonrsquo or lsquoMaprsquo object because a site can only be representedby a pair of coordinates and not by a polygonnal contour However users have the possibil-ity to repesent spatial polygonal contours as a backgroud map Thatrsquos why we create functionslsquosp2listrsquolsquopolylist2listrsquo and lsquomap2listrsquo for extracting of spatial object only the vertices of the poly-gons

Note

This data file prepared by Luc Anselin Spatial Analysis Laboratory Department of Agriculture andConsumer Economics University of Illinois Urbana-Champaign

Source

Anselin Luc (1988) ldquoSpatial econometrics methods and modelsrdquo Dordrecht Kluwer AcademicTable 121 p 189

pcamap 57

References

Bivand R (2006) ldquoThe spdep packagerdquo httpcranr-projectorgdocpackagesspdeppdf

Examples

data(oldcolpolys)

pcamap Generalized Principal Component Analysis and map

Description

The function lsquopcamaprsquo draws the plots summarizing a generalized Principal Component Analysis(PCA) made with lsquogenpcarrsquo It draws the scatterplot of the individuals projected on a chosenprincipal component plane (with their percentage of inertia) together with the scatterplot of thevariables projected into the same plane with the quality of representation in order to interpret theprincipal component axes The individuals scatterplot interacts with the map

Usage

pcamap(longlatdatasetdirect=c(12)weight=rep(1nrow(dataset)length=nrow(dataset))metric=diag(1ncol(dataset)ncol(dataset)) center=TRUE reduce=TRUEnamedata=NULLqualproj=0listvar=NULL listnomvar=NULLcriteria=NULLcarte=NULLlabel=symbol=0color=1axis=FALSElablong= lablat=)

Arguments

long a vector x of size n

lat a vector y of size n

dataset matrix ntimes p of variables

direct Number of component analysis to draw

weight vector of size n of weight (by default weight = t(1n 1n))

metric matrix ptimes p (by default metric=Identity matrix)

center boolean if TRUE centred PCA (by default center=TRUE)

reduce boolean if TRUE reduced PCA (by default reduce=TRUE)

58 pcamap

namedata List of Names of dataset

qualproj possibility to print the quality of representation of individuals (0 no print (bydefault) and 1 print)

listvar matrix of variables

listnomvar names of variables from listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with name of each site

color 0 or 1 (by default) choice of representation of selected points (if user has se-lected a barplot as an additionnal graph) If 0 sites are represented in blue if 1sites are represented with different colors for each factor

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

LetD = diag(λ1 λp)

1p = (1 1)prime

Let the coordinates of individuals in the principals components

CC = (C prime1 C

primen)prime

with Ci = (C1i Cp

i )Let the coordinates of variables in the principals components

CC = (V prime1 V prime

p)prime

with Vi = (V 1i V p

i )Part of inertia

(λ1sumi λi

λpsumi λi

)prime

pcamap 59

Quality of representation of individual k projected on plane (ij)

Qu =

radic(Ci

k)2 + (Cjk)2sum

l(Clk)2

Quality of representation of variable k projected on plane (ij)

V Qu =

radic(V i

k )2 + (V jk )2sum

l(Vlk)2

Value

Return lsquoobsrsquo vector of size n of boolean with sites selected lsquoinertiarsquo vector of size p with percentof inertia of each component lsquocasecoordrsquo matrix n times p of indivuduals lsquovarcoordrsquo matrix p times p ofprincipal components

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Caussinus H Fekri M Hakam S Ruiz-Gazen A (2003) ldquoA monitoring display of MultivariateOutliersrdquo Computational Statistics and Data Analysis vol 44 1-2 237-252

See Also

clustermapgenpca

Examples

Data Colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-pcamap(colombuscontours$Xcolombuscontours$Ycolombus[612]label=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus)namedata=names(colombus[612]))

data bostondata(boston)obslt-pcamap(boston$xboston$yboston[1522]label=boston$TOWNlistvar=bostonlistnomvar=names(boston)namedata=names(boston[1522]))

60 polyboxplotmap

polyboxplotmap Interactive polyboxplot and map

Description

Parallel Boxplots of a numerical variable by levels of a factor It interacts with a map

Usage

polyboxplotmap(long lat var2 var1 listvar = NULL listnomvar = NULLcarte = NULL criteria = NULL label = labmod = labvar = symbol = 0 color = 1 axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var2 a vector of factor of size n

var1 a vector of numerical values of size n

listvar matrix of variables fo size ntimes p for optional additional graph and bubbles

listnomvar list of character of size p with names of variables inluded in listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with name of each site

labmod names of factors var2

labvar list of names for variables var2 and var1

color 0 or 1 choice of representation of selected points If 0 sites are represented inblue if 1 sites are represented with different colors for each factor of var2

polyboxplotmap 61

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Each site is associated to a value of var1 and a level of var2 There is an interactivity only in onedirection the sites selected by quartile-intervals on one of the boxplots are then represented on themap in red (or colors according to the options)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap dbledensitymap

Examples

Data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)polyboxplotmap(eire$V1eire$V2eire$paleeire$POPCHGlistvar=eirelistnomvar=names(eire)carte=eirecontourslabvar=Appartenance ou non agrave la reacutegion du Palelabmod=c(Hors PalePale))

62 polylist2list

polylist2list Extract from a lsquopolylistrsquo object the vertices of the polygons

Description

The function lsquopolylist2listrsquo extracts the vertices of the polygons from a lsquopolylistrsquo object seperatingpolygons from each other by 3 rows of NaN

Usage

polylist2list(data)

Arguments

data A lsquopolylistrsquo object

Details

The user can then represent the coordinates of sites of a lsquopolylistrsquo object as background map usingthe option lsquocartersquo included in all interactive functions of GeoXp

Value

It returns a matrix of numeric values with 2 columns (x and y coordinates of the vertices of thepolygons) where polygons are seperated from each other by 3 rows of NaN

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

See Also

spdf2listmap2list

Examples

data(eirepolys)eirecontourslt-polylist2list(eirepolys)

pcamap 59

Quality of representation of individual k projected on plane (ij)

Qu =

radic(Ci

k)2 + (Cjk)2sum

l(Clk)2

Quality of representation of variable k projected on plane (ij)

V Qu =

radic(V i

k )2 + (V jk )2sum

l(Vlk)2

Value

Return lsquoobsrsquo vector of size n of boolean with sites selected lsquoinertiarsquo vector of size p with percentof inertia of each component lsquocasecoordrsquo matrix n times p of indivuduals lsquovarcoordrsquo matrix p times p ofprincipal components

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Caussinus H Fekri M Hakam S Ruiz-Gazen A (2003) ldquoA monitoring display of MultivariateOutliersrdquo Computational Statistics and Data Analysis vol 44 1-2 237-252

See Also

clustermapgenpca

Examples

Data Colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-pcamap(colombuscontours$Xcolombuscontours$Ycolombus[612]label=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus)namedata=names(colombus[612]))

data bostondata(boston)obslt-pcamap(boston$xboston$yboston[1522]label=boston$TOWNlistvar=bostonlistnomvar=names(boston)namedata=names(boston[1522]))

60 polyboxplotmap

polyboxplotmap Interactive polyboxplot and map

Description

Parallel Boxplots of a numerical variable by levels of a factor It interacts with a map

Usage

polyboxplotmap(long lat var2 var1 listvar = NULL listnomvar = NULLcarte = NULL criteria = NULL label = labmod = labvar = symbol = 0 color = 1 axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var2 a vector of factor of size n

var1 a vector of numerical values of size n

listvar matrix of variables fo size ntimes p for optional additional graph and bubbles

listnomvar list of character of size p with names of variables inluded in listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with name of each site

labmod names of factors var2

labvar list of names for variables var2 and var1

color 0 or 1 choice of representation of selected points If 0 sites are represented inblue if 1 sites are represented with different colors for each factor of var2

polyboxplotmap 61

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Each site is associated to a value of var1 and a level of var2 There is an interactivity only in onedirection the sites selected by quartile-intervals on one of the boxplots are then represented on themap in red (or colors according to the options)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap dbledensitymap

Examples

Data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)polyboxplotmap(eire$V1eire$V2eire$paleeire$POPCHGlistvar=eirelistnomvar=names(eire)carte=eirecontourslabvar=Appartenance ou non agrave la reacutegion du Palelabmod=c(Hors PalePale))

62 polylist2list

polylist2list Extract from a lsquopolylistrsquo object the vertices of the polygons

Description

The function lsquopolylist2listrsquo extracts the vertices of the polygons from a lsquopolylistrsquo object seperatingpolygons from each other by 3 rows of NaN

Usage

polylist2list(data)

Arguments

data A lsquopolylistrsquo object

Details

The user can then represent the coordinates of sites of a lsquopolylistrsquo object as background map usingthe option lsquocartersquo included in all interactive functions of GeoXp

Value

It returns a matrix of numeric values with 2 columns (x and y coordinates of the vertices of thepolygons) where polygons are seperated from each other by 3 rows of NaN

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

See Also

spdf2listmap2list

Examples

data(eirepolys)eirecontourslt-polylist2list(eirepolys)

60 polyboxplotmap

polyboxplotmap Interactive polyboxplot and map

Description

Parallel Boxplots of a numerical variable by levels of a factor It interacts with a map

Usage

polyboxplotmap(long lat var2 var1 listvar = NULL listnomvar = NULLcarte = NULL criteria = NULL label = labmod = labvar = symbol = 0 color = 1 axis = FALSElablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var2 a vector of factor of size n

var1 a vector of numerical values of size n

listvar matrix of variables fo size ntimes p for optional additional graph and bubbles

listnomvar list of character of size p with names of variables inluded in listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with name of each site

labmod names of factors var2

labvar list of names for variables var2 and var1

color 0 or 1 choice of representation of selected points If 0 sites are represented inblue if 1 sites are represented with different colors for each factor of var2

polyboxplotmap 61

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Each site is associated to a value of var1 and a level of var2 There is an interactivity only in onedirection the sites selected by quartile-intervals on one of the boxplots are then represented on themap in red (or colors according to the options)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap dbledensitymap

Examples

Data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)polyboxplotmap(eire$V1eire$V2eire$paleeire$POPCHGlistvar=eirelistnomvar=names(eire)carte=eirecontourslabvar=Appartenance ou non agrave la reacutegion du Palelabmod=c(Hors PalePale))

62 polylist2list

polylist2list Extract from a lsquopolylistrsquo object the vertices of the polygons

Description

The function lsquopolylist2listrsquo extracts the vertices of the polygons from a lsquopolylistrsquo object seperatingpolygons from each other by 3 rows of NaN

Usage

polylist2list(data)

Arguments

data A lsquopolylistrsquo object

Details

The user can then represent the coordinates of sites of a lsquopolylistrsquo object as background map usingthe option lsquocartersquo included in all interactive functions of GeoXp

Value

It returns a matrix of numeric values with 2 columns (x and y coordinates of the vertices of thepolygons) where polygons are seperated from each other by 3 rows of NaN

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

See Also

spdf2listmap2list

Examples

data(eirepolys)eirecontourslt-polylist2list(eirepolys)

polyboxplotmap 61

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

axis a boolean with TRUE for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Each site is associated to a value of var1 and a level of var2 There is an interactivity only in onedirection the sites selected by quartile-intervals on one of the boxplots are then represented on themap in red (or colors according to the options)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap dbledensitymap

Examples

Data eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)polyboxplotmap(eire$V1eire$V2eire$paleeire$POPCHGlistvar=eirelistnomvar=names(eire)carte=eirecontourslabvar=Appartenance ou non agrave la reacutegion du Palelabmod=c(Hors PalePale))

62 polylist2list

polylist2list Extract from a lsquopolylistrsquo object the vertices of the polygons

Description

The function lsquopolylist2listrsquo extracts the vertices of the polygons from a lsquopolylistrsquo object seperatingpolygons from each other by 3 rows of NaN

Usage

polylist2list(data)

Arguments

data A lsquopolylistrsquo object

Details

The user can then represent the coordinates of sites of a lsquopolylistrsquo object as background map usingthe option lsquocartersquo included in all interactive functions of GeoXp

Value

It returns a matrix of numeric values with 2 columns (x and y coordinates of the vertices of thepolygons) where polygons are seperated from each other by 3 rows of NaN

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

See Also

spdf2listmap2list

Examples

data(eirepolys)eirecontourslt-polylist2list(eirepolys)

62 polylist2list

polylist2list Extract from a lsquopolylistrsquo object the vertices of the polygons

Description

The function lsquopolylist2listrsquo extracts the vertices of the polygons from a lsquopolylistrsquo object seperatingpolygons from each other by 3 rows of NaN

Usage

polylist2list(data)

Arguments

data A lsquopolylistrsquo object

Details

The user can then represent the coordinates of sites of a lsquopolylistrsquo object as background map usingthe option lsquocartersquo included in all interactive functions of GeoXp

Value

It returns a matrix of numeric values with 2 columns (x and y coordinates of the vertices of thepolygons) where polygons are seperated from each other by 3 rows of NaN

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe spdep packagersquo httpcranr-projectorgdocpackagesspdeppdf

See Also

spdf2listmap2list

Examples

data(eirepolys)eirecontourslt-polylist2list(eirepolys)

rotation 63

rotation Transform coordinates of sites using a rotation

Description

The function lsquorotationrsquo is used to modify coordinates of sites by a rotation with an angle equal toangle

Usage

rotation(coords angle)

Arguments

coords matrix ntimes 2 of coordinates

angle value of angle to use in rotation in degree

Details

Letx = (cos(θ)minussin(θ))

y = (sin(θ) cos(θ))

nlecoord = coordstimes cbind(x y)

Value

matrix ntimes 2 of new coordinates

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

angleplotmapvariocloudmap

64 scattermap

scattermap Interactive scatterplot and map

Description

The function lsquoscattermaprsquo draws a scatterplot of the given variables (var1 var2) and a map withsites of coordinates (long lat) Boxplots of each variable var1 and var2 are represented below thex-axis and y-axis

Usage

scattermap(long lat var1 var2 listvar = NULL listnomvar = NULLopt = 1 quantiles = 05 criteria = NULL carte = NULLlabel = symbol = 0 labvar = c( ) color = 1axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of numeric values of size n

var2 a vector of numeric values of size n

listvar matrix of variables

listnomvar names of variables listvar

opt 1=graphic only 2=drawing of the linear predictor for lsquoresponsersquo in linear model3=drawing of the conditionnal quantile regression spline (user has to give optionquantiles)

quantiles vector which contains a list of order (if opt = 3)

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

scattermap 65

color 0 or 1 choice of representation of selected points If 0 sites are represented inblue if 1 sites are represented with different colors for each factor

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

labvar names of variables var1 and var2

axis a boolean with True for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Each site is associated to a value of lsquovar1rsquo and a value of lsquovar2rsquo There is an interactivity betweenthe two windows the sites selected by lsquopointrsquo or lsquopolygonrsquo on the scatterplot are represented on themap in red sites selected on the map are then represented in red on the scatterplot Users have thepossibility to draw linear predictor for lsquoresponsersquo in linear model or conditionnal quantile regressionspline (option opt and quantiles)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap densitymap

Examples

library tcltk and fields data baltimoredata(baltimore)scattermap(baltimore$Xbaltimore$Ybaltimore$PRICEbaltimore$SQFTlistvar=baltimore listnomvar=names(baltimore)labvar=c(SQFTPRICE)criteria=(baltimore$CITCOU==1)axis=TRUElablong=Xlablat=Yopt=2)

Data Colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])

66 selectgraph

colombuscontourslt-map2list(x)colombuslt-x$attdatascattermap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

Data Eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)scattermap(eire$V1eire$V2eire$ROADACCeire$OWNCONSlistvar=eirelistnomvar=names(eire)carte=eirecontourslabvar=c(RoutesTaux de consomation)opt=2quantiles=095)

selectgraph Selection of an additionnal grah

Description

The function lsquoselectgraphrsquo is used in most of the GeoXp functions to choose an additional graphand the variables associated to this graph

Usage

selectgraph(listnomvar listgraph)

Arguments

listnomvar list of names of variables given

listgraph kind of graphics

Details

This function is not an interactive function

Value

Names of variables and graph chosen

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

selectmap 67

selectmap Selection of a point or polygon on a scatterplot

Description

The function lsquoselectmaprsquo is used to select a point or a polygon on the map or on a scatterplot Calledby any function which draws a scatterplot

Usage

selectmap(var1 var2 obs Xpoly Ypoly method = )

Arguments

var1 a vector x of size n

var2 a vector y of size n

obs a boolean vector of size n TRUE if a site is already selectioned FALSE other-wise

Xpoly X-coordinates of the vertices of selected polygon

Ypoly Y-coordinates of the vertices of selected polygon

method lsquopointrsquo if the selected area is a point lsquopolyrsquo if the selected area is a polygon

Details

This function is called by all the functions which draw a scatterplot such as scattermapr moran-plotmapr This is not an interactive function

Value

A vector of boolean of size n TRUE if a site has been selected FALSE otherwise

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

68 selectstat

selectstat Selection of values on a graphic

Description

The function lsquoselectstatrsquo is used to select sites on a graphic such as Histogram Barplot Box-plot Polyboxplot Scatterplot Densityplot Neighbourplot Lorentz Moran Angleplot VariocloudCluster or PCA Most of the GeoXp functions call selectstatr

Usage

selectstat(var1 var2 obs Xpoly Ypoly method nbcol W F long lat)

Arguments

var1 1st variable of size n

var2 2nd variable of size n

obs a boolean vector of size n TRUE if a site is already selectioned FALSE other-wise

Xpoly X-coordinates of the vertices of selected polygon

Ypoly Y-coordinates of the vertices of selected polygon

method name of the graph wich must be drawn among Histogram Barplot BoxplotPolyboxplot Densityplot Neighbourplot Lorentz Anglepoint Variopoint

nbcol nbcol number of cells for the histogram (10 by default)

W A spatial weight matrix of size ntimes n

F a numerical vector

long a vector of x-axis of size n

lat a vector of y-axis of size n

Details

This function is not an interactive function

Value

Return a vector of boolean of size n with TRUE if sites have been selected on a graph

slider1 69

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

slider1 Scroll bar

Description

Creates a scroll bar for modifying the value of a parameter

Usage

slider1(fenetre refreshcode names minima maxima resolutionsstarts no = 0)

Arguments

fenetre number of windows

refreshcode name of function called after modifying the value of a parameter

names title for scroll bar

minima minimum value of parameter

maxima maximum value of parameter

resolutions scale

starts Initial Value

no number of scroll bar

Details

This function is used in the functions which draw a curve to modify the smoothing parameter Thisis not an interactive function

Value

Draws a tcltk window

70 slider2

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

densitymapdbledensitymap

slider2 Scroll bar

Description

Creates a scroll bar for modifying the value of a parameter (same as slider1r)

Usage

slider2(fenetre refreshcode names minima maxima resolutionsstarts no = 0)

Arguments

fenetre number of windows

refreshcode name of function called after modifying the value of a parameter

names title for scroll bar

minima minimum value of parameter

maxima maximum value of parameter

resolutions scale

starts Initial Value

no number of scroll bar

Details

This function is used in the functions which draw a curve to modify the smoothing parameter Thisis not an interactive function

spdf2list 71

Value

Drawing of a tcltk window

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

densitymapdbledensitymap

spdf2list Extract from a lsquoSpatialPolygonsDataFramersquo object the middle coor-dinates of boundary box and the vertices of the polygons (in the casewhere polygons are given)

Description

The function lsquospdf2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into a lsquoSpatialPolygonsDataFramersquo object it extracts the vertices of the poly-gons seperating polygons from each other by 3 rows of NaN

Usage

spdf2list(data)

Arguments

data A lsquoSpatialPolygonsDataFramersquo object

Details

The user can then represent the coordinates of sites of a lsquoSpatialPolygonsDataFramersquo object asbackground map using the option lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoSpatialPolygonsDataFramersquo object can be directly extract using data

72 variocloudmap

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe rgdal packagersquo httpcranr-projectorgdocpackagesrgdalpdf

See Also

polylist2listmap2list

variocloudmap Interactive variocloud and map

Description

The function lsquovariocloudmaprsquo draws a semi-variocloud (directional or omnidirectional) and a mapIt is used to detect spatial autocorrelation Possibility to draw the empirical semi-variogram and arobust empirical semi-variogram

Usage

variocloudmap(long lat var bin = NULL quantiles = NULLlistvar = NULL listnomvar = NULL criteria = NULLcarte = NULL label = symbol = 0 labvar = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

bin list of values where empirical variogram is evaluated

quantiles list of values of quantile orders (the regression quantile is obtained by splinesmoothing)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

64 scattermap

scattermap Interactive scatterplot and map

Description

The function lsquoscattermaprsquo draws a scatterplot of the given variables (var1 var2) and a map withsites of coordinates (long lat) Boxplots of each variable var1 and var2 are represented below thex-axis and y-axis

Usage

scattermap(long lat var1 var2 listvar = NULL listnomvar = NULLopt = 1 quantiles = 05 criteria = NULL carte = NULLlabel = symbol = 0 labvar = c( ) color = 1axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var1 a vector of numeric values of size n

var2 a vector of numeric values of size n

listvar matrix of variables

listnomvar names of variables listvar

opt 1=graphic only 2=drawing of the linear predictor for lsquoresponsersquo in linear model3=drawing of the conditionnal quantile regression spline (user has to give optionquantiles)

quantiles vector which contains a list of order (if opt = 3)

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

scattermap 65

color 0 or 1 choice of representation of selected points If 0 sites are represented inblue if 1 sites are represented with different colors for each factor

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

labvar names of variables var1 and var2

axis a boolean with True for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Each site is associated to a value of lsquovar1rsquo and a value of lsquovar2rsquo There is an interactivity betweenthe two windows the sites selected by lsquopointrsquo or lsquopolygonrsquo on the scatterplot are represented on themap in red sites selected on the map are then represented in red on the scatterplot Users have thepossibility to draw linear predictor for lsquoresponsersquo in linear model or conditionnal quantile regressionspline (option opt and quantiles)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap densitymap

Examples

library tcltk and fields data baltimoredata(baltimore)scattermap(baltimore$Xbaltimore$Ybaltimore$PRICEbaltimore$SQFTlistvar=baltimore listnomvar=names(baltimore)labvar=c(SQFTPRICE)criteria=(baltimore$CITCOU==1)axis=TRUElablong=Xlablat=Yopt=2)

Data Colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])

66 selectgraph

colombuscontourslt-map2list(x)colombuslt-x$attdatascattermap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

Data Eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)scattermap(eire$V1eire$V2eire$ROADACCeire$OWNCONSlistvar=eirelistnomvar=names(eire)carte=eirecontourslabvar=c(RoutesTaux de consomation)opt=2quantiles=095)

selectgraph Selection of an additionnal grah

Description

The function lsquoselectgraphrsquo is used in most of the GeoXp functions to choose an additional graphand the variables associated to this graph

Usage

selectgraph(listnomvar listgraph)

Arguments

listnomvar list of names of variables given

listgraph kind of graphics

Details

This function is not an interactive function

Value

Names of variables and graph chosen

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

selectmap 67

selectmap Selection of a point or polygon on a scatterplot

Description

The function lsquoselectmaprsquo is used to select a point or a polygon on the map or on a scatterplot Calledby any function which draws a scatterplot

Usage

selectmap(var1 var2 obs Xpoly Ypoly method = )

Arguments

var1 a vector x of size n

var2 a vector y of size n

obs a boolean vector of size n TRUE if a site is already selectioned FALSE other-wise

Xpoly X-coordinates of the vertices of selected polygon

Ypoly Y-coordinates of the vertices of selected polygon

method lsquopointrsquo if the selected area is a point lsquopolyrsquo if the selected area is a polygon

Details

This function is called by all the functions which draw a scatterplot such as scattermapr moran-plotmapr This is not an interactive function

Value

A vector of boolean of size n TRUE if a site has been selected FALSE otherwise

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

68 selectstat

selectstat Selection of values on a graphic

Description

The function lsquoselectstatrsquo is used to select sites on a graphic such as Histogram Barplot Box-plot Polyboxplot Scatterplot Densityplot Neighbourplot Lorentz Moran Angleplot VariocloudCluster or PCA Most of the GeoXp functions call selectstatr

Usage

selectstat(var1 var2 obs Xpoly Ypoly method nbcol W F long lat)

Arguments

var1 1st variable of size n

var2 2nd variable of size n

obs a boolean vector of size n TRUE if a site is already selectioned FALSE other-wise

Xpoly X-coordinates of the vertices of selected polygon

Ypoly Y-coordinates of the vertices of selected polygon

method name of the graph wich must be drawn among Histogram Barplot BoxplotPolyboxplot Densityplot Neighbourplot Lorentz Anglepoint Variopoint

nbcol nbcol number of cells for the histogram (10 by default)

W A spatial weight matrix of size ntimes n

F a numerical vector

long a vector of x-axis of size n

lat a vector of y-axis of size n

Details

This function is not an interactive function

Value

Return a vector of boolean of size n with TRUE if sites have been selected on a graph

slider1 69

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

slider1 Scroll bar

Description

Creates a scroll bar for modifying the value of a parameter

Usage

slider1(fenetre refreshcode names minima maxima resolutionsstarts no = 0)

Arguments

fenetre number of windows

refreshcode name of function called after modifying the value of a parameter

names title for scroll bar

minima minimum value of parameter

maxima maximum value of parameter

resolutions scale

starts Initial Value

no number of scroll bar

Details

This function is used in the functions which draw a curve to modify the smoothing parameter Thisis not an interactive function

Value

Draws a tcltk window

70 slider2

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

densitymapdbledensitymap

slider2 Scroll bar

Description

Creates a scroll bar for modifying the value of a parameter (same as slider1r)

Usage

slider2(fenetre refreshcode names minima maxima resolutionsstarts no = 0)

Arguments

fenetre number of windows

refreshcode name of function called after modifying the value of a parameter

names title for scroll bar

minima minimum value of parameter

maxima maximum value of parameter

resolutions scale

starts Initial Value

no number of scroll bar

Details

This function is used in the functions which draw a curve to modify the smoothing parameter Thisis not an interactive function

spdf2list 71

Value

Drawing of a tcltk window

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

densitymapdbledensitymap

spdf2list Extract from a lsquoSpatialPolygonsDataFramersquo object the middle coor-dinates of boundary box and the vertices of the polygons (in the casewhere polygons are given)

Description

The function lsquospdf2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into a lsquoSpatialPolygonsDataFramersquo object it extracts the vertices of the poly-gons seperating polygons from each other by 3 rows of NaN

Usage

spdf2list(data)

Arguments

data A lsquoSpatialPolygonsDataFramersquo object

Details

The user can then represent the coordinates of sites of a lsquoSpatialPolygonsDataFramersquo object asbackground map using the option lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoSpatialPolygonsDataFramersquo object can be directly extract using data

72 variocloudmap

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe rgdal packagersquo httpcranr-projectorgdocpackagesrgdalpdf

See Also

polylist2listmap2list

variocloudmap Interactive variocloud and map

Description

The function lsquovariocloudmaprsquo draws a semi-variocloud (directional or omnidirectional) and a mapIt is used to detect spatial autocorrelation Possibility to draw the empirical semi-variogram and arobust empirical semi-variogram

Usage

variocloudmap(long lat var bin = NULL quantiles = NULLlistvar = NULL listnomvar = NULL criteria = NULLcarte = NULL label = symbol = 0 labvar = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

bin list of values where empirical variogram is evaluated

quantiles list of values of quantile orders (the regression quantile is obtained by splinesmoothing)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

scattermap 65

color 0 or 1 choice of representation of selected points If 0 sites are represented inblue if 1 sites are represented with different colors for each factor

symbol 0 or 1 choice of representation of selected points If 0 selected points arecircles if 1 selected points are stars

labvar names of variables var1 and var2

axis a boolean with True for drawing axes on the map

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

Details

Each site is associated to a value of lsquovar1rsquo and a value of lsquovar2rsquo There is an interactivity betweenthe two windows the sites selected by lsquopointrsquo or lsquopolygonrsquo on the scatterplot are represented on themap in red sites selected on the map are then represented in red on the scatterplot Users have thepossibility to draw linear predictor for lsquoresponsersquo in linear model or conditionnal quantile regressionspline (option opt and quantiles)

Value

A vector of boolean of size n TRUE if the site was in the last selection

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

dblehistomap histobarmap scattermap densitymap

Examples

library tcltk and fields data baltimoredata(baltimore)scattermap(baltimore$Xbaltimore$Ybaltimore$PRICEbaltimore$SQFTlistvar=baltimore listnomvar=names(baltimore)labvar=c(SQFTPRICE)criteria=(baltimore$CITCOU==1)axis=TRUElablong=Xlablat=Yopt=2)

Data Colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])

66 selectgraph

colombuscontourslt-map2list(x)colombuslt-x$attdatascattermap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

Data Eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)scattermap(eire$V1eire$V2eire$ROADACCeire$OWNCONSlistvar=eirelistnomvar=names(eire)carte=eirecontourslabvar=c(RoutesTaux de consomation)opt=2quantiles=095)

selectgraph Selection of an additionnal grah

Description

The function lsquoselectgraphrsquo is used in most of the GeoXp functions to choose an additional graphand the variables associated to this graph

Usage

selectgraph(listnomvar listgraph)

Arguments

listnomvar list of names of variables given

listgraph kind of graphics

Details

This function is not an interactive function

Value

Names of variables and graph chosen

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

selectmap 67

selectmap Selection of a point or polygon on a scatterplot

Description

The function lsquoselectmaprsquo is used to select a point or a polygon on the map or on a scatterplot Calledby any function which draws a scatterplot

Usage

selectmap(var1 var2 obs Xpoly Ypoly method = )

Arguments

var1 a vector x of size n

var2 a vector y of size n

obs a boolean vector of size n TRUE if a site is already selectioned FALSE other-wise

Xpoly X-coordinates of the vertices of selected polygon

Ypoly Y-coordinates of the vertices of selected polygon

method lsquopointrsquo if the selected area is a point lsquopolyrsquo if the selected area is a polygon

Details

This function is called by all the functions which draw a scatterplot such as scattermapr moran-plotmapr This is not an interactive function

Value

A vector of boolean of size n TRUE if a site has been selected FALSE otherwise

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

68 selectstat

selectstat Selection of values on a graphic

Description

The function lsquoselectstatrsquo is used to select sites on a graphic such as Histogram Barplot Box-plot Polyboxplot Scatterplot Densityplot Neighbourplot Lorentz Moran Angleplot VariocloudCluster or PCA Most of the GeoXp functions call selectstatr

Usage

selectstat(var1 var2 obs Xpoly Ypoly method nbcol W F long lat)

Arguments

var1 1st variable of size n

var2 2nd variable of size n

obs a boolean vector of size n TRUE if a site is already selectioned FALSE other-wise

Xpoly X-coordinates of the vertices of selected polygon

Ypoly Y-coordinates of the vertices of selected polygon

method name of the graph wich must be drawn among Histogram Barplot BoxplotPolyboxplot Densityplot Neighbourplot Lorentz Anglepoint Variopoint

nbcol nbcol number of cells for the histogram (10 by default)

W A spatial weight matrix of size ntimes n

F a numerical vector

long a vector of x-axis of size n

lat a vector of y-axis of size n

Details

This function is not an interactive function

Value

Return a vector of boolean of size n with TRUE if sites have been selected on a graph

slider1 69

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

slider1 Scroll bar

Description

Creates a scroll bar for modifying the value of a parameter

Usage

slider1(fenetre refreshcode names minima maxima resolutionsstarts no = 0)

Arguments

fenetre number of windows

refreshcode name of function called after modifying the value of a parameter

names title for scroll bar

minima minimum value of parameter

maxima maximum value of parameter

resolutions scale

starts Initial Value

no number of scroll bar

Details

This function is used in the functions which draw a curve to modify the smoothing parameter Thisis not an interactive function

Value

Draws a tcltk window

70 slider2

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

densitymapdbledensitymap

slider2 Scroll bar

Description

Creates a scroll bar for modifying the value of a parameter (same as slider1r)

Usage

slider2(fenetre refreshcode names minima maxima resolutionsstarts no = 0)

Arguments

fenetre number of windows

refreshcode name of function called after modifying the value of a parameter

names title for scroll bar

minima minimum value of parameter

maxima maximum value of parameter

resolutions scale

starts Initial Value

no number of scroll bar

Details

This function is used in the functions which draw a curve to modify the smoothing parameter Thisis not an interactive function

spdf2list 71

Value

Drawing of a tcltk window

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

densitymapdbledensitymap

spdf2list Extract from a lsquoSpatialPolygonsDataFramersquo object the middle coor-dinates of boundary box and the vertices of the polygons (in the casewhere polygons are given)

Description

The function lsquospdf2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into a lsquoSpatialPolygonsDataFramersquo object it extracts the vertices of the poly-gons seperating polygons from each other by 3 rows of NaN

Usage

spdf2list(data)

Arguments

data A lsquoSpatialPolygonsDataFramersquo object

Details

The user can then represent the coordinates of sites of a lsquoSpatialPolygonsDataFramersquo object asbackground map using the option lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoSpatialPolygonsDataFramersquo object can be directly extract using data

72 variocloudmap

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe rgdal packagersquo httpcranr-projectorgdocpackagesrgdalpdf

See Also

polylist2listmap2list

variocloudmap Interactive variocloud and map

Description

The function lsquovariocloudmaprsquo draws a semi-variocloud (directional or omnidirectional) and a mapIt is used to detect spatial autocorrelation Possibility to draw the empirical semi-variogram and arobust empirical semi-variogram

Usage

variocloudmap(long lat var bin = NULL quantiles = NULLlistvar = NULL listnomvar = NULL criteria = NULLcarte = NULL label = symbol = 0 labvar = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

bin list of values where empirical variogram is evaluated

quantiles list of values of quantile orders (the regression quantile is obtained by splinesmoothing)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

66 selectgraph

colombuscontourslt-map2list(x)colombuslt-x$attdatascattermap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALcolombus$CRIMElabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus))

Data Eiredata(eire)data(eirepolys)eirecontourslt-polylist2list(eirepolys)scattermap(eire$V1eire$V2eire$ROADACCeire$OWNCONSlistvar=eirelistnomvar=names(eire)carte=eirecontourslabvar=c(RoutesTaux de consomation)opt=2quantiles=095)

selectgraph Selection of an additionnal grah

Description

The function lsquoselectgraphrsquo is used in most of the GeoXp functions to choose an additional graphand the variables associated to this graph

Usage

selectgraph(listnomvar listgraph)

Arguments

listnomvar list of names of variables given

listgraph kind of graphics

Details

This function is not an interactive function

Value

Names of variables and graph chosen

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

selectmap 67

selectmap Selection of a point or polygon on a scatterplot

Description

The function lsquoselectmaprsquo is used to select a point or a polygon on the map or on a scatterplot Calledby any function which draws a scatterplot

Usage

selectmap(var1 var2 obs Xpoly Ypoly method = )

Arguments

var1 a vector x of size n

var2 a vector y of size n

obs a boolean vector of size n TRUE if a site is already selectioned FALSE other-wise

Xpoly X-coordinates of the vertices of selected polygon

Ypoly Y-coordinates of the vertices of selected polygon

method lsquopointrsquo if the selected area is a point lsquopolyrsquo if the selected area is a polygon

Details

This function is called by all the functions which draw a scatterplot such as scattermapr moran-plotmapr This is not an interactive function

Value

A vector of boolean of size n TRUE if a site has been selected FALSE otherwise

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

68 selectstat

selectstat Selection of values on a graphic

Description

The function lsquoselectstatrsquo is used to select sites on a graphic such as Histogram Barplot Box-plot Polyboxplot Scatterplot Densityplot Neighbourplot Lorentz Moran Angleplot VariocloudCluster or PCA Most of the GeoXp functions call selectstatr

Usage

selectstat(var1 var2 obs Xpoly Ypoly method nbcol W F long lat)

Arguments

var1 1st variable of size n

var2 2nd variable of size n

obs a boolean vector of size n TRUE if a site is already selectioned FALSE other-wise

Xpoly X-coordinates of the vertices of selected polygon

Ypoly Y-coordinates of the vertices of selected polygon

method name of the graph wich must be drawn among Histogram Barplot BoxplotPolyboxplot Densityplot Neighbourplot Lorentz Anglepoint Variopoint

nbcol nbcol number of cells for the histogram (10 by default)

W A spatial weight matrix of size ntimes n

F a numerical vector

long a vector of x-axis of size n

lat a vector of y-axis of size n

Details

This function is not an interactive function

Value

Return a vector of boolean of size n with TRUE if sites have been selected on a graph

slider1 69

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

slider1 Scroll bar

Description

Creates a scroll bar for modifying the value of a parameter

Usage

slider1(fenetre refreshcode names minima maxima resolutionsstarts no = 0)

Arguments

fenetre number of windows

refreshcode name of function called after modifying the value of a parameter

names title for scroll bar

minima minimum value of parameter

maxima maximum value of parameter

resolutions scale

starts Initial Value

no number of scroll bar

Details

This function is used in the functions which draw a curve to modify the smoothing parameter Thisis not an interactive function

Value

Draws a tcltk window

70 slider2

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

densitymapdbledensitymap

slider2 Scroll bar

Description

Creates a scroll bar for modifying the value of a parameter (same as slider1r)

Usage

slider2(fenetre refreshcode names minima maxima resolutionsstarts no = 0)

Arguments

fenetre number of windows

refreshcode name of function called after modifying the value of a parameter

names title for scroll bar

minima minimum value of parameter

maxima maximum value of parameter

resolutions scale

starts Initial Value

no number of scroll bar

Details

This function is used in the functions which draw a curve to modify the smoothing parameter Thisis not an interactive function

spdf2list 71

Value

Drawing of a tcltk window

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

densitymapdbledensitymap

spdf2list Extract from a lsquoSpatialPolygonsDataFramersquo object the middle coor-dinates of boundary box and the vertices of the polygons (in the casewhere polygons are given)

Description

The function lsquospdf2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into a lsquoSpatialPolygonsDataFramersquo object it extracts the vertices of the poly-gons seperating polygons from each other by 3 rows of NaN

Usage

spdf2list(data)

Arguments

data A lsquoSpatialPolygonsDataFramersquo object

Details

The user can then represent the coordinates of sites of a lsquoSpatialPolygonsDataFramersquo object asbackground map using the option lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoSpatialPolygonsDataFramersquo object can be directly extract using data

72 variocloudmap

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe rgdal packagersquo httpcranr-projectorgdocpackagesrgdalpdf

See Also

polylist2listmap2list

variocloudmap Interactive variocloud and map

Description

The function lsquovariocloudmaprsquo draws a semi-variocloud (directional or omnidirectional) and a mapIt is used to detect spatial autocorrelation Possibility to draw the empirical semi-variogram and arobust empirical semi-variogram

Usage

variocloudmap(long lat var bin = NULL quantiles = NULLlistvar = NULL listnomvar = NULL criteria = NULLcarte = NULL label = symbol = 0 labvar = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

bin list of values where empirical variogram is evaluated

quantiles list of values of quantile orders (the regression quantile is obtained by splinesmoothing)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

selectmap 67

selectmap Selection of a point or polygon on a scatterplot

Description

The function lsquoselectmaprsquo is used to select a point or a polygon on the map or on a scatterplot Calledby any function which draws a scatterplot

Usage

selectmap(var1 var2 obs Xpoly Ypoly method = )

Arguments

var1 a vector x of size n

var2 a vector y of size n

obs a boolean vector of size n TRUE if a site is already selectioned FALSE other-wise

Xpoly X-coordinates of the vertices of selected polygon

Ypoly Y-coordinates of the vertices of selected polygon

method lsquopointrsquo if the selected area is a point lsquopolyrsquo if the selected area is a polygon

Details

This function is called by all the functions which draw a scatterplot such as scattermapr moran-plotmapr This is not an interactive function

Value

A vector of boolean of size n TRUE if a site has been selected FALSE otherwise

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

68 selectstat

selectstat Selection of values on a graphic

Description

The function lsquoselectstatrsquo is used to select sites on a graphic such as Histogram Barplot Box-plot Polyboxplot Scatterplot Densityplot Neighbourplot Lorentz Moran Angleplot VariocloudCluster or PCA Most of the GeoXp functions call selectstatr

Usage

selectstat(var1 var2 obs Xpoly Ypoly method nbcol W F long lat)

Arguments

var1 1st variable of size n

var2 2nd variable of size n

obs a boolean vector of size n TRUE if a site is already selectioned FALSE other-wise

Xpoly X-coordinates of the vertices of selected polygon

Ypoly Y-coordinates of the vertices of selected polygon

method name of the graph wich must be drawn among Histogram Barplot BoxplotPolyboxplot Densityplot Neighbourplot Lorentz Anglepoint Variopoint

nbcol nbcol number of cells for the histogram (10 by default)

W A spatial weight matrix of size ntimes n

F a numerical vector

long a vector of x-axis of size n

lat a vector of y-axis of size n

Details

This function is not an interactive function

Value

Return a vector of boolean of size n with TRUE if sites have been selected on a graph

slider1 69

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

slider1 Scroll bar

Description

Creates a scroll bar for modifying the value of a parameter

Usage

slider1(fenetre refreshcode names minima maxima resolutionsstarts no = 0)

Arguments

fenetre number of windows

refreshcode name of function called after modifying the value of a parameter

names title for scroll bar

minima minimum value of parameter

maxima maximum value of parameter

resolutions scale

starts Initial Value

no number of scroll bar

Details

This function is used in the functions which draw a curve to modify the smoothing parameter Thisis not an interactive function

Value

Draws a tcltk window

70 slider2

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

densitymapdbledensitymap

slider2 Scroll bar

Description

Creates a scroll bar for modifying the value of a parameter (same as slider1r)

Usage

slider2(fenetre refreshcode names minima maxima resolutionsstarts no = 0)

Arguments

fenetre number of windows

refreshcode name of function called after modifying the value of a parameter

names title for scroll bar

minima minimum value of parameter

maxima maximum value of parameter

resolutions scale

starts Initial Value

no number of scroll bar

Details

This function is used in the functions which draw a curve to modify the smoothing parameter Thisis not an interactive function

spdf2list 71

Value

Drawing of a tcltk window

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

densitymapdbledensitymap

spdf2list Extract from a lsquoSpatialPolygonsDataFramersquo object the middle coor-dinates of boundary box and the vertices of the polygons (in the casewhere polygons are given)

Description

The function lsquospdf2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into a lsquoSpatialPolygonsDataFramersquo object it extracts the vertices of the poly-gons seperating polygons from each other by 3 rows of NaN

Usage

spdf2list(data)

Arguments

data A lsquoSpatialPolygonsDataFramersquo object

Details

The user can then represent the coordinates of sites of a lsquoSpatialPolygonsDataFramersquo object asbackground map using the option lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoSpatialPolygonsDataFramersquo object can be directly extract using data

72 variocloudmap

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe rgdal packagersquo httpcranr-projectorgdocpackagesrgdalpdf

See Also

polylist2listmap2list

variocloudmap Interactive variocloud and map

Description

The function lsquovariocloudmaprsquo draws a semi-variocloud (directional or omnidirectional) and a mapIt is used to detect spatial autocorrelation Possibility to draw the empirical semi-variogram and arobust empirical semi-variogram

Usage

variocloudmap(long lat var bin = NULL quantiles = NULLlistvar = NULL listnomvar = NULL criteria = NULLcarte = NULL label = symbol = 0 labvar = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

bin list of values where empirical variogram is evaluated

quantiles list of values of quantile orders (the regression quantile is obtained by splinesmoothing)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

68 selectstat

selectstat Selection of values on a graphic

Description

The function lsquoselectstatrsquo is used to select sites on a graphic such as Histogram Barplot Box-plot Polyboxplot Scatterplot Densityplot Neighbourplot Lorentz Moran Angleplot VariocloudCluster or PCA Most of the GeoXp functions call selectstatr

Usage

selectstat(var1 var2 obs Xpoly Ypoly method nbcol W F long lat)

Arguments

var1 1st variable of size n

var2 2nd variable of size n

obs a boolean vector of size n TRUE if a site is already selectioned FALSE other-wise

Xpoly X-coordinates of the vertices of selected polygon

Ypoly Y-coordinates of the vertices of selected polygon

method name of the graph wich must be drawn among Histogram Barplot BoxplotPolyboxplot Densityplot Neighbourplot Lorentz Anglepoint Variopoint

nbcol nbcol number of cells for the histogram (10 by default)

W A spatial weight matrix of size ntimes n

F a numerical vector

long a vector of x-axis of size n

lat a vector of y-axis of size n

Details

This function is not an interactive function

Value

Return a vector of boolean of size n with TRUE if sites have been selected on a graph

slider1 69

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

slider1 Scroll bar

Description

Creates a scroll bar for modifying the value of a parameter

Usage

slider1(fenetre refreshcode names minima maxima resolutionsstarts no = 0)

Arguments

fenetre number of windows

refreshcode name of function called after modifying the value of a parameter

names title for scroll bar

minima minimum value of parameter

maxima maximum value of parameter

resolutions scale

starts Initial Value

no number of scroll bar

Details

This function is used in the functions which draw a curve to modify the smoothing parameter Thisis not an interactive function

Value

Draws a tcltk window

70 slider2

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

densitymapdbledensitymap

slider2 Scroll bar

Description

Creates a scroll bar for modifying the value of a parameter (same as slider1r)

Usage

slider2(fenetre refreshcode names minima maxima resolutionsstarts no = 0)

Arguments

fenetre number of windows

refreshcode name of function called after modifying the value of a parameter

names title for scroll bar

minima minimum value of parameter

maxima maximum value of parameter

resolutions scale

starts Initial Value

no number of scroll bar

Details

This function is used in the functions which draw a curve to modify the smoothing parameter Thisis not an interactive function

spdf2list 71

Value

Drawing of a tcltk window

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

densitymapdbledensitymap

spdf2list Extract from a lsquoSpatialPolygonsDataFramersquo object the middle coor-dinates of boundary box and the vertices of the polygons (in the casewhere polygons are given)

Description

The function lsquospdf2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into a lsquoSpatialPolygonsDataFramersquo object it extracts the vertices of the poly-gons seperating polygons from each other by 3 rows of NaN

Usage

spdf2list(data)

Arguments

data A lsquoSpatialPolygonsDataFramersquo object

Details

The user can then represent the coordinates of sites of a lsquoSpatialPolygonsDataFramersquo object asbackground map using the option lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoSpatialPolygonsDataFramersquo object can be directly extract using data

72 variocloudmap

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe rgdal packagersquo httpcranr-projectorgdocpackagesrgdalpdf

See Also

polylist2listmap2list

variocloudmap Interactive variocloud and map

Description

The function lsquovariocloudmaprsquo draws a semi-variocloud (directional or omnidirectional) and a mapIt is used to detect spatial autocorrelation Possibility to draw the empirical semi-variogram and arobust empirical semi-variogram

Usage

variocloudmap(long lat var bin = NULL quantiles = NULLlistvar = NULL listnomvar = NULL criteria = NULLcarte = NULL label = symbol = 0 labvar = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

bin list of values where empirical variogram is evaluated

quantiles list of values of quantile orders (the regression quantile is obtained by splinesmoothing)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

slider1 69

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

slider1 Scroll bar

Description

Creates a scroll bar for modifying the value of a parameter

Usage

slider1(fenetre refreshcode names minima maxima resolutionsstarts no = 0)

Arguments

fenetre number of windows

refreshcode name of function called after modifying the value of a parameter

names title for scroll bar

minima minimum value of parameter

maxima maximum value of parameter

resolutions scale

starts Initial Value

no number of scroll bar

Details

This function is used in the functions which draw a curve to modify the smoothing parameter Thisis not an interactive function

Value

Draws a tcltk window

70 slider2

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

densitymapdbledensitymap

slider2 Scroll bar

Description

Creates a scroll bar for modifying the value of a parameter (same as slider1r)

Usage

slider2(fenetre refreshcode names minima maxima resolutionsstarts no = 0)

Arguments

fenetre number of windows

refreshcode name of function called after modifying the value of a parameter

names title for scroll bar

minima minimum value of parameter

maxima maximum value of parameter

resolutions scale

starts Initial Value

no number of scroll bar

Details

This function is used in the functions which draw a curve to modify the smoothing parameter Thisis not an interactive function

spdf2list 71

Value

Drawing of a tcltk window

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

densitymapdbledensitymap

spdf2list Extract from a lsquoSpatialPolygonsDataFramersquo object the middle coor-dinates of boundary box and the vertices of the polygons (in the casewhere polygons are given)

Description

The function lsquospdf2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into a lsquoSpatialPolygonsDataFramersquo object it extracts the vertices of the poly-gons seperating polygons from each other by 3 rows of NaN

Usage

spdf2list(data)

Arguments

data A lsquoSpatialPolygonsDataFramersquo object

Details

The user can then represent the coordinates of sites of a lsquoSpatialPolygonsDataFramersquo object asbackground map using the option lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoSpatialPolygonsDataFramersquo object can be directly extract using data

72 variocloudmap

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe rgdal packagersquo httpcranr-projectorgdocpackagesrgdalpdf

See Also

polylist2listmap2list

variocloudmap Interactive variocloud and map

Description

The function lsquovariocloudmaprsquo draws a semi-variocloud (directional or omnidirectional) and a mapIt is used to detect spatial autocorrelation Possibility to draw the empirical semi-variogram and arobust empirical semi-variogram

Usage

variocloudmap(long lat var bin = NULL quantiles = NULLlistvar = NULL listnomvar = NULL criteria = NULLcarte = NULL label = symbol = 0 labvar = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

bin list of values where empirical variogram is evaluated

quantiles list of values of quantile orders (the regression quantile is obtained by splinesmoothing)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

70 slider2

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

densitymapdbledensitymap

slider2 Scroll bar

Description

Creates a scroll bar for modifying the value of a parameter (same as slider1r)

Usage

slider2(fenetre refreshcode names minima maxima resolutionsstarts no = 0)

Arguments

fenetre number of windows

refreshcode name of function called after modifying the value of a parameter

names title for scroll bar

minima minimum value of parameter

maxima maximum value of parameter

resolutions scale

starts Initial Value

no number of scroll bar

Details

This function is used in the functions which draw a curve to modify the smoothing parameter Thisis not an interactive function

spdf2list 71

Value

Drawing of a tcltk window

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

densitymapdbledensitymap

spdf2list Extract from a lsquoSpatialPolygonsDataFramersquo object the middle coor-dinates of boundary box and the vertices of the polygons (in the casewhere polygons are given)

Description

The function lsquospdf2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into a lsquoSpatialPolygonsDataFramersquo object it extracts the vertices of the poly-gons seperating polygons from each other by 3 rows of NaN

Usage

spdf2list(data)

Arguments

data A lsquoSpatialPolygonsDataFramersquo object

Details

The user can then represent the coordinates of sites of a lsquoSpatialPolygonsDataFramersquo object asbackground map using the option lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoSpatialPolygonsDataFramersquo object can be directly extract using data

72 variocloudmap

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe rgdal packagersquo httpcranr-projectorgdocpackagesrgdalpdf

See Also

polylist2listmap2list

variocloudmap Interactive variocloud and map

Description

The function lsquovariocloudmaprsquo draws a semi-variocloud (directional or omnidirectional) and a mapIt is used to detect spatial autocorrelation Possibility to draw the empirical semi-variogram and arobust empirical semi-variogram

Usage

variocloudmap(long lat var bin = NULL quantiles = NULLlistvar = NULL listnomvar = NULL criteria = NULLcarte = NULL label = symbol = 0 labvar = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

bin list of values where empirical variogram is evaluated

quantiles list of values of quantile orders (the regression quantile is obtained by splinesmoothing)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

spdf2list 71

Value

Drawing of a tcltk window

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

See Also

densitymapdbledensitymap

spdf2list Extract from a lsquoSpatialPolygonsDataFramersquo object the middle coor-dinates of boundary box and the vertices of the polygons (in the casewhere polygons are given)

Description

The function lsquospdf2listrsquo calculates the middle coordinates of boundary box and in the case wherepolygons are included into a lsquoSpatialPolygonsDataFramersquo object it extracts the vertices of the poly-gons seperating polygons from each other by 3 rows of NaN

Usage

spdf2list(data)

Arguments

data A lsquoSpatialPolygonsDataFramersquo object

Details

The user can then represent the coordinates of sites of a lsquoSpatialPolygonsDataFramersquo object asbackground map using the option lsquocartersquo included in all interactive functions

Value

It returns two vectors of middle coordinates for x-axis and y-axis cooresponding to middle of eachboundary box It returns a matrix of numeric values with 2 columns (x and y coordinates of thevertices of the polygons) where polygons are seperated from each other by 3 rows of NaN

Note

The data of a lsquoSpatialPolygonsDataFramersquo object can be directly extract using data

72 variocloudmap

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe rgdal packagersquo httpcranr-projectorgdocpackagesrgdalpdf

See Also

polylist2listmap2list

variocloudmap Interactive variocloud and map

Description

The function lsquovariocloudmaprsquo draws a semi-variocloud (directional or omnidirectional) and a mapIt is used to detect spatial autocorrelation Possibility to draw the empirical semi-variogram and arobust empirical semi-variogram

Usage

variocloudmap(long lat var bin = NULL quantiles = NULLlistvar = NULL listnomvar = NULL criteria = NULLcarte = NULL label = symbol = 0 labvar = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

bin list of values where empirical variogram is evaluated

quantiles list of values of quantile orders (the regression quantile is obtained by splinesmoothing)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

72 variocloudmap

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Bivand R (2006) lsquoThe rgdal packagersquo httpcranr-projectorgdocpackagesrgdalpdf

See Also

polylist2listmap2list

variocloudmap Interactive variocloud and map

Description

The function lsquovariocloudmaprsquo draws a semi-variocloud (directional or omnidirectional) and a mapIt is used to detect spatial autocorrelation Possibility to draw the empirical semi-variogram and arobust empirical semi-variogram

Usage

variocloudmap(long lat var bin = NULL quantiles = NULLlistvar = NULL listnomvar = NULL criteria = NULLcarte = NULL label = symbol = 0 labvar = axis = FALSE lablong = lablat = )

Arguments

long a vector x of size n

lat a vector y of size n

var a vector of numeric values of size n

bin list of values where empirical variogram is evaluated

quantiles list of values of quantile orders (the regression quantile is obtained by splinesmoothing)

listvar matrix of variables

listnomvar names of variables listvar

criteria a vector of size n of boolean with TRUE on specific sites (these for non interac-tive selection)

variocloudmap 73

carte matrix with 2 columns for drawing spatial polygonal contours x and y coordi-nates of the vertices of the polygon

label vector of character of size n with names of sites

symbol 0 (by default) or 1 choice of representation of selected points If 0 selectedpoints are circles if 1 selected points are stars

labvar name of var

lablong name of the x-axis that will be printed on the map

lablat name of the y-axis that will be printed on the map

axis a boolean with TRUE for drawing axes on the map

Details

For some couple of sites (si sj) the graph represents on the y minus axis the semi squared differencebetween vari and varj

γij =12(vari minus varj)2

and on the x minus absis the distance hij between si and sj The semi Empirical variogram has beencalculated as

γ(h) =1

2|N(h)|sumN(h)

(Z(si)minus Z(sj))2

whereN(h) = (si sj) si minus sj = h i j = 1 n

and the robust version

γ(h) =1

2(0457 + 0494|N(h)| )

(1

|N(h)|sumN(h)

|Z(si)minus Z(sj)|12)4

The number N of points to evaluate the empirical variogram and the distance ε between points areset as follows

N =1

max(30n2 008 dD)

and ε =

D

N

with D = max(hij)minusmin(hij)

and d = max(h(l)

ij minus h(l+1)ij )

where h(l) is the vector of sorted distances In options possibility to represent a regression quantilesmoothing spline gα (in that case the points below this quantile curve are not drawn)

74 variocloudmap

Value

A matrix of boolean of size ntimes n TRUE if the couple of site was in the last selection of points

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Cressie N and Hawkins D (1980) ldquoRobust estimation of the variogramrdquo in Journal of the interna-tional association for mathematical geology 13 115-125

See Also

angleplotmap driftmap

Examples

data afcondata(afcon)obslt-variocloudmap(afcon$xafcon$yafcon$totconlistvar=afconlistnomvar=names(afcon)label=afcon$namecriteria=(afcon$totcongtmean(afcon$totcon)))

Data Colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-variocloudmap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALlabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus)quantiles=095)

data meusedata(meuseall)data(meuseriv)obslt-variocloudmap(meuseall$xmeuseall$ymeuseall$zincquantiles=095listvar=meusealllistnomvar=names(meuseall))points(meuseriv type = l asp = 1)

Index

lowastTopic datasetsafcon 3auckpolys 6auckland 7baltimore 8boston 11eire 28eirepolys 29meuseall 45meuseriv 47oldcol 54oldcolpolys 55

lowastTopic manipdistchi2 26map2list 44polylist2list 61spdf2list 70

lowastTopic multivariateclustermap 16dblehistomap 21densitymap 23genpca 31histobarmap 38pcamap 56polyboxplotmap 59scattermap 63

lowastTopic regressionscattermap 63

lowastTopic smoothdbledensitymap 19densitymap 23

lowastTopic spatialangleplotmap 4barmap 9boxplotmap 12carte 14clustermap 16dbledensitymap 19dblehistomap 21densitymap 23driftmap 27findneighbors 30genpca 31

GeoXp-package 2gini 33ginimap 34graphique 36histobarmap 38histomap 40makedistanceW 42makeneighborsw 43moranplotmap 47neighbourmap 50nonormmoran 52normw 53pcamap 56polyboxplotmap 59rotation 62scattermap 63selectgraph 65selectmap 66selectstat 67slider1 68slider2 69variocloudmap 71

lowastTopic univarbarmap 9boxplotmap 12densitymap 23ginimap 34histomap 40

lowastTopic utilitiescarte 14findneighbors 30graphique 36rotation 62selectgraph 65selectmap 66selectstat 67

afcon 3angleplotmap 4 28 62 73auckpolys 6auckland 7

baltimore 8barmap 9 18

75

76 INDEX

boston 11boxplotmap 12

carte 14clustermap 16 26 33 58

dbledensitymap 19 39 60 69 70dblehistomap 21 23 39 60 64densitymap 10 13 21 23 23 25 41 64

69 70distchi2 26driftmap 5 27 73

eire 28eirepolys 29

findneighbors 30 43 44

genpca 31 58GeoXp (GeoXp-package) 2GeoXp-package 2gini 33 35ginimap 34 34graphique 36

histobarmap 10 13 21 23 25 38 39 4160 64

histomap 10 13 21 25 40 41

makedistanceW 30 42 44 49 51 53makeneighborsw 30 43 43 49 51 53map2list 44 61 71meuseall 45meuseriv 47moranplotmap 30 43 44 47 51 53

neighbourmap 49 50 53nonormmoran 49 51 52normw 43 44 49 51 53 53

oldcol 54oldcolpolys 55

pcamap 18 33 56polyboxplotmap 59polylist2list 45 61 71

rotation 28 62

scattermap 10 13 21 23 25 39 41 6063 64

selectgraph 65selectmap 66selectstat 67slider1 68

slider2 69spdf2list 45 61 70

variocloudmap 5 28 62 71

• GeoXp-package
• afcon
• angleplotmap
• auckpolys
• auckland
• baltimore
• barmap
• boston
• boxplotmap
• carte
• clustermap
• dbledensitymap
• dblehistomap
• densitymap
• distchi2
• driftmap
• eire
• eirepolys
• findneighbors
• genpca
• gini
• ginimap
• graphique
• histobarmap
• histomap
• makedistanceW
• makeneighborsw
• map2list
• meuseall
• meuseriv
• moranplotmap
• neighbourmap
• nonormmoran
• normw
• oldcol
• oldcolpolys
• pcamap
• polyboxplotmap
• polylist2list
• rotation
• scattermap
• selectgraph
• selectmap
• selectstat
• slider1
• slider2
• spdf2list
• variocloudmap
• Index

74 variocloudmap

Value

A matrix of boolean of size ntimes n TRUE if the couple of site was in the last selection of points

Author(s)

Thomas-Agnan C Aragon Y Ruiz-Gazen A Laurent T Robidou L

References

Aragon Yves Perrin Olivier Ruiz-Gazen Anne Thomas-Agnan Christine (2006) ldquoStatistique etEconomeacutetrie pour donneacutees geacuteoreacutefeacuterenceacutees modegraveles et eacutetudes de casrdquo

Cressie N and Hawkins D (1980) ldquoRobust estimation of the variogramrdquo in Journal of the interna-tional association for mathematical geology 13 115-125

See Also

angleplotmap driftmap

Examples

data afcondata(afcon)obslt-variocloudmap(afcon$xafcon$yafcon$totconlistvar=afconlistnomvar=names(afcon)label=afcon$namecriteria=(afcon$totcongtmean(afcon$totcon)))

Data Colombusx lt- readshape(systemfile(shapescolumbusshp package=maptools)[1])colombuscontourslt-map2list(x)colombuslt-x$attdataobslt-variocloudmap(colombuscontours$Xcolombuscontours$Ycolombus$HOVALlabel=colombus$NEIGNO carte=colombuscontours$polylistvar=colombuslistnomvar=names(colombus)quantiles=095)

data meusedata(meuseall)data(meuseriv)obslt-variocloudmap(meuseall$xmeuseall$ymeuseall$zincquantiles=095listvar=meusealllistnomvar=names(meuseall))points(meuseriv type = l asp = 1)

Index

lowastTopic datasetsafcon 3auckpolys 6auckland 7baltimore 8boston 11eire 28eirepolys 29meuseall 45meuseriv 47oldcol 54oldcolpolys 55

lowastTopic manipdistchi2 26map2list 44polylist2list 61spdf2list 70

lowastTopic multivariateclustermap 16dblehistomap 21densitymap 23genpca 31histobarmap 38pcamap 56polyboxplotmap 59scattermap 63

lowastTopic regressionscattermap 63

lowastTopic smoothdbledensitymap 19densitymap 23

lowastTopic spatialangleplotmap 4barmap 9boxplotmap 12carte 14clustermap 16dbledensitymap 19dblehistomap 21densitymap 23driftmap 27findneighbors 30genpca 31

GeoXp-package 2gini 33ginimap 34graphique 36histobarmap 38histomap 40makedistanceW 42makeneighborsw 43moranplotmap 47neighbourmap 50nonormmoran 52normw 53pcamap 56polyboxplotmap 59rotation 62scattermap 63selectgraph 65selectmap 66selectstat 67slider1 68slider2 69variocloudmap 71

lowastTopic univarbarmap 9boxplotmap 12densitymap 23ginimap 34histomap 40

lowastTopic utilitiescarte 14findneighbors 30graphique 36rotation 62selectgraph 65selectmap 66selectstat 67

afcon 3angleplotmap 4 28 62 73auckpolys 6auckland 7

baltimore 8barmap 9 18

75

76 INDEX

boston 11boxplotmap 12

carte 14clustermap 16 26 33 58

dbledensitymap 19 39 60 69 70dblehistomap 21 23 39 60 64densitymap 10 13 21 23 23 25 41 64

69 70distchi2 26driftmap 5 27 73

eire 28eirepolys 29

findneighbors 30 43 44

genpca 31 58GeoXp (GeoXp-package) 2GeoXp-package 2gini 33 35ginimap 34 34graphique 36

histobarmap 10 13 21 23 25 38 39 4160 64

histomap 10 13 21 25 40 41

makedistanceW 30 42 44 49 51 53makeneighborsw 30 43 43 49 51 53map2list 44 61 71meuseall 45meuseriv 47moranplotmap 30 43 44 47 51 53

neighbourmap 49 50 53nonormmoran 49 51 52normw 43 44 49 51 53 53

oldcol 54oldcolpolys 55

pcamap 18 33 56polyboxplotmap 59polylist2list 45 61 71

rotation 28 62

scattermap 10 13 21 23 25 39 41 6063 64

selectgraph 65selectmap 66selectstat 67slider1 68

slider2 69spdf2list 45 61 70

variocloudmap 5 28 62 71

• GeoXp-package
• afcon
• angleplotmap
• auckpolys
• auckland
• baltimore
• barmap
• boston
• boxplotmap
• carte
• clustermap
• dbledensitymap
• dblehistomap
• densitymap
• distchi2
• driftmap
• eire
• eirepolys
• findneighbors
• genpca
• gini
• ginimap
• graphique
• histobarmap
• histomap
• makedistanceW
• makeneighborsw
• map2list
• meuseall
• meuseriv
• moranplotmap
• neighbourmap
• nonormmoran
• normw
• oldcol
• oldcolpolys
• pcamap
• polyboxplotmap
• polylist2list
• rotation
• scattermap
• selectgraph
• selectmap
• selectstat
• slider1
• slider2
• spdf2list
• variocloudmap
• Index

Index

lowastTopic datasetsafcon 3auckpolys 6auckland 7baltimore 8boston 11eire 28eirepolys 29meuseall 45meuseriv 47oldcol 54oldcolpolys 55

lowastTopic manipdistchi2 26map2list 44polylist2list 61spdf2list 70

lowastTopic multivariateclustermap 16dblehistomap 21densitymap 23genpca 31histobarmap 38pcamap 56polyboxplotmap 59scattermap 63

lowastTopic regressionscattermap 63

lowastTopic smoothdbledensitymap 19densitymap 23

lowastTopic spatialangleplotmap 4barmap 9boxplotmap 12carte 14clustermap 16dbledensitymap 19dblehistomap 21densitymap 23driftmap 27findneighbors 30genpca 31

GeoXp-package 2gini 33ginimap 34graphique 36histobarmap 38histomap 40makedistanceW 42makeneighborsw 43moranplotmap 47neighbourmap 50nonormmoran 52normw 53pcamap 56polyboxplotmap 59rotation 62scattermap 63selectgraph 65selectmap 66selectstat 67slider1 68slider2 69variocloudmap 71

lowastTopic univarbarmap 9boxplotmap 12densitymap 23ginimap 34histomap 40

lowastTopic utilitiescarte 14findneighbors 30graphique 36rotation 62selectgraph 65selectmap 66selectstat 67

afcon 3angleplotmap 4 28 62 73auckpolys 6auckland 7

baltimore 8barmap 9 18

75

76 INDEX

boston 11boxplotmap 12

carte 14clustermap 16 26 33 58

dbledensitymap 19 39 60 69 70dblehistomap 21 23 39 60 64densitymap 10 13 21 23 23 25 41 64

69 70distchi2 26driftmap 5 27 73

eire 28eirepolys 29

findneighbors 30 43 44

genpca 31 58GeoXp (GeoXp-package) 2GeoXp-package 2gini 33 35ginimap 34 34graphique 36

histobarmap 10 13 21 23 25 38 39 4160 64

histomap 10 13 21 25 40 41

makedistanceW 30 42 44 49 51 53makeneighborsw 30 43 43 49 51 53map2list 44 61 71meuseall 45meuseriv 47moranplotmap 30 43 44 47 51 53

neighbourmap 49 50 53nonormmoran 49 51 52normw 43 44 49 51 53 53

oldcol 54oldcolpolys 55

pcamap 18 33 56polyboxplotmap 59polylist2list 45 61 71

rotation 28 62

scattermap 10 13 21 23 25 39 41 6063 64

selectgraph 65selectmap 66selectstat 67slider1 68

slider2 69spdf2list 45 61 70

variocloudmap 5 28 62 71

• GeoXp-package
• afcon
• angleplotmap
• auckpolys
• auckland
• baltimore
• barmap
• boston
• boxplotmap
• carte
• clustermap
• dbledensitymap
• dblehistomap
• densitymap
• distchi2
• driftmap
• eire
• eirepolys
• findneighbors
• genpca
• gini
• ginimap
• graphique
• histobarmap
• histomap
• makedistanceW
• makeneighborsw
• map2list
• meuseall
• meuseriv
• moranplotmap
• neighbourmap
• nonormmoran
• normw
• oldcol
• oldcolpolys
• pcamap
• polyboxplotmap
• polylist2list
• rotation
• scattermap
• selectgraph
• selectmap
• selectstat
• slider1
• slider2
• spdf2list
• variocloudmap
• Index

76 INDEX

boston 11boxplotmap 12

carte 14clustermap 16 26 33 58

dbledensitymap 19 39 60 69 70dblehistomap 21 23 39 60 64densitymap 10 13 21 23 23 25 41 64

69 70distchi2 26driftmap 5 27 73

eire 28eirepolys 29

findneighbors 30 43 44

genpca 31 58GeoXp (GeoXp-package) 2GeoXp-package 2gini 33 35ginimap 34 34graphique 36

histobarmap 10 13 21 23 25 38 39 4160 64

histomap 10 13 21 25 40 41

makedistanceW 30 42 44 49 51 53makeneighborsw 30 43 43 49 51 53map2list 44 61 71meuseall 45meuseriv 47moranplotmap 30 43 44 47 51 53

neighbourmap 49 50 53nonormmoran 49 51 52normw 43 44 49 51 53 53

oldcol 54oldcolpolys 55

pcamap 18 33 56polyboxplotmap 59polylist2list 45 61 71

rotation 28 62

scattermap 10 13 21 23 25 39 41 6063 64

selectgraph 65selectmap 66selectstat 67slider1 68

slider2 69spdf2list 45 61 70

variocloudmap 5 28 62 71

• GeoXp-package
• afcon
• angleplotmap
• auckpolys
• auckland
• baltimore
• barmap
• boston
• boxplotmap
• carte
• clustermap
• dbledensitymap
• dblehistomap
• densitymap
• distchi2
• driftmap
• eire
• eirepolys
• findneighbors
• genpca
• gini
• ginimap
• graphique
• histobarmap
• histomap
• makedistanceW
• makeneighborsw
• map2list
• meuseall
• meuseriv
• moranplotmap
• neighbourmap
• nonormmoran
• normw
• oldcol
• oldcolpolys
• pcamap
• polyboxplotmap
• polylist2list
• rotation
• scattermap
• selectgraph
• selectmap
• selectstat
• slider1
• slider2
• spdf2list
• variocloudmap
• Index