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Calculation of Sampling Errors MICS3 Regional Workshop on Data Archiving and Dissemination Alexandria, Egypt 3-7 March, 2007

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Page 1: Calculation of Sampling Errors MICS3 Regional Workshop on Data Archiving and Dissemination Alexandria, Egypt 3-7 March, 2007

Calculation of Sampling Errors

MICS3 Regional Workshop on Data Archiving and Dissemination

Alexandria, Egypt3-7 March, 2007

Page 2: Calculation of Sampling Errors MICS3 Regional Workshop on Data Archiving and Dissemination Alexandria, Egypt 3-7 March, 2007

Background

The sample selected in a survey is one of the many samples that could have been selected (with same design and size).

Sampling errors are measures of the variability between all possible samples, which can be estimated from survey results.

Page 3: Calculation of Sampling Errors MICS3 Regional Workshop on Data Archiving and Dissemination Alexandria, Egypt 3-7 March, 2007

Background

Calculation of sampling errors is very important;

-Provides information on the reliability of your results

-Tells you the ranges within which your estimates most probably fall

- Provides clues as to the sample sizes (and designs) to be selected in forthcoming surveys

Page 4: Calculation of Sampling Errors MICS3 Regional Workshop on Data Archiving and Dissemination Alexandria, Egypt 3-7 March, 2007

Background

MICS3 sample designs are complex designs, usually based on stratified, multi-stage, cluster samples.

It is not possible to use straightforward formulae for the calculation of sampling errors. Sophisticated approaches have to be used.

New versions of SPSS (13 or 14) are used for this purpose.

SPSS uses Taylor linearization method of variance estimation for survey estimates that are means or proportions.

This approach is used by most other package programs: Wesvar, Sudaan, Systat, EpiInfo, SAS

Page 5: Calculation of Sampling Errors MICS3 Regional Workshop on Data Archiving and Dissemination Alexandria, Egypt 3-7 March, 2007

Background

In MICS3, the objective is to calculate sampling errors for a selection of variables, for the national sample, as well as selected sub-populations, such as urban and rural areas, and regions

Sampling errors will be presented as part of the final report, in Appendix C

Page 6: Calculation of Sampling Errors MICS3 Regional Workshop on Data Archiving and Dissemination Alexandria, Egypt 3-7 March, 2007

Table SE.2: Sampling errors: Total sample

r - 2se r + 2se

Household availability of ITNs CH.10 0.048 0.011 0.221 2.371 1.540 1009 967 0.027 0.069Iodized salt consumption NU.5 0.821 0.022 0.027 3.130 1.769 1004 962 0.778 0.865Child discipline CP.4 0.725 0.020 0.028 1.570 1.253 792 757 0.684 0.766

Use of improved drinking water sources EN.1 0.753 0.057 0.075 16.594 4.074 6067 967 0.639 0.866Use of improved sanitation facilities EN.5 0.941 0.015 0.016 3.751 1.937 6067 967 0.912 0.970Net primary school attendance rate ED.3 0.601 0.015 0.025 0.798 0.893 859 819 0.571 0.632Net secondary school attendance rate ED.4 0.810 0.019 0.023 2.192 1.481 1013 968 0.772 0.847Primary completion rate ED.6 0.861 0.032 0.037 1.286 1.134 159 152 0.797 0.925Child labour CP.2 0.111 0.016 0.148 3.759 1.939 1443 1376 0.078 0.143Prevalence of orphans HA.10 0.036 0.006 0.169 2.542 1.594 2533 2417 0.024 0.048Prevalence of vulnerable children HA.11 0.555 0.023 0.041 5.181 2.276 2533 2417 0.509 0.601

Skilled attendant at delivery RH.5 0.958 0.024 0.025 3.515 1.875 256 244 0.910 1.000Antenatal care RH.3 0.926 0.026 0.028 2.363 1.537 256 244 0.874 0.977Contraceptive prevalence RH.1 0.464 0.015 0.032 0.876 0.936 1044 995 0.435 0.494Adult literacy ED.8 0.934 0.013 0.014 1.602 1.266 644 615 0.909 0.959Prevalence of female genital mutilation/cutting (FGM/C) CP.7 0.159 0.009 0.056 0.863 0.929 1541 1471 0.141 0.176Marriage before age 18 CP.5 0.140 0.023 0.165 1.296 1.138 308 294 0.094 0.186Polygyny CP.5 0.212 0.012 0.058 0.905 0.952 1044 995 0.187 0.237Comprehensive knowledge about HIV prevention among young people HA.3 0.037 0.005 0.124 0.866 0.930 1541 1471 0.028 0.046

Standard errors, coefficients of variation, design effects (deff ), square root of design effects (deft ) and confidence intervals for selected indicators, Country, Year

Standard error (se )

Value (r )Table

Confidence limits

Unweighted count

Weighted count

Square root of design

effect (deft )

Design effect (deff )

Coefficient of variation

(se/r )

HOUSEHOLD MEMBERS

WOMEN

HOUSEHOLDS

Page 7: Calculation of Sampling Errors MICS3 Regional Workshop on Data Archiving and Dissemination Alexandria, Egypt 3-7 March, 2007

Table SE.2: Sampling errors: Total sample

r - 2se r + 2se

Household availability of ITNs CH.10 0.048 0.011 0.221 2.371 1.540 1009 967 0.027 0.069Iodized salt consumption NU.5 0.821 0.022 0.027 3.130 1.769 1004 962 0.778 0.865Child discipline CP.4 0.725 0.020 0.028 1.570 1.253 792 757 0.684 0.766

Use of improved drinking water sources EN.1 0.753 0.057 0.075 16.594 4.074 6067 967 0.639 0.866Use of improved sanitation facilities EN.5 0.941 0.015 0.016 3.751 1.937 6067 967 0.912 0.970Net primary school attendance rate ED.3 0.601 0.015 0.025 0.798 0.893 859 819 0.571 0.632Net secondary school attendance rate ED.4 0.810 0.019 0.023 2.192 1.481 1013 968 0.772 0.847Primary completion rate ED.6 0.861 0.032 0.037 1.286 1.134 159 152 0.797 0.925Child labour CP.2 0.111 0.016 0.148 3.759 1.939 1443 1376 0.078 0.143Prevalence of orphans HA.10 0.036 0.006 0.169 2.542 1.594 2533 2417 0.024 0.048Prevalence of vulnerable children HA.11 0.555 0.023 0.041 5.181 2.276 2533 2417 0.509 0.601

Skilled attendant at delivery RH.5 0.958 0.024 0.025 3.515 1.875 256 244 0.910 1.000Antenatal care RH.3 0.926 0.026 0.028 2.363 1.537 256 244 0.874 0.977Contraceptive prevalence RH.1 0.464 0.015 0.032 0.876 0.936 1044 995 0.435 0.494Adult literacy ED.8 0.934 0.013 0.014 1.602 1.266 644 615 0.909 0.959Prevalence of female genital mutilation/cutting (FGM/C) CP.7 0.159 0.009 0.056 0.863 0.929 1541 1471 0.141 0.176Marriage before age 18 CP.5 0.140 0.023 0.165 1.296 1.138 308 294 0.094 0.186Polygyny CP.5 0.212 0.012 0.058 0.905 0.952 1044 995 0.187 0.237Comprehensive knowledge about HIV prevention among young people HA.3 0.037 0.005 0.124 0.866 0.930 1541 1471 0.028 0.046

Standard errors, coefficients of variation, design effects (deff ), square root of design effects (deft ) and confidence intervals for selected indicators, Country, Year

Standard error (se )

Value (r )Table

Confidence limits

Unweighted count

Weighted count

Square root of design

effect (deft )

Design effect (deff )

Coefficient of variation

(se/r )

HOUSEHOLD MEMBERS

WOMEN

HOUSEHOLDS

Standard error is the square root of the variance – a measure of the variability between all possible samples

Page 8: Calculation of Sampling Errors MICS3 Regional Workshop on Data Archiving and Dissemination Alexandria, Egypt 3-7 March, 2007

Table SE.2: Sampling errors: Total sample

r - 2se r + 2se

Household availability of ITNs CH.10 0.048 0.011 0.221 2.371 1.540 1009 967 0.027 0.069Iodized salt consumption NU.5 0.821 0.022 0.027 3.130 1.769 1004 962 0.778 0.865Child discipline CP.4 0.725 0.020 0.028 1.570 1.253 792 757 0.684 0.766

Use of improved drinking water sources EN.1 0.753 0.057 0.075 16.594 4.074 6067 967 0.639 0.866Use of improved sanitation facilities EN.5 0.941 0.015 0.016 3.751 1.937 6067 967 0.912 0.970Net primary school attendance rate ED.3 0.601 0.015 0.025 0.798 0.893 859 819 0.571 0.632Net secondary school attendance rate ED.4 0.810 0.019 0.023 2.192 1.481 1013 968 0.772 0.847Primary completion rate ED.6 0.861 0.032 0.037 1.286 1.134 159 152 0.797 0.925Child labour CP.2 0.111 0.016 0.148 3.759 1.939 1443 1376 0.078 0.143Prevalence of orphans HA.10 0.036 0.006 0.169 2.542 1.594 2533 2417 0.024 0.048Prevalence of vulnerable children HA.11 0.555 0.023 0.041 5.181 2.276 2533 2417 0.509 0.601

Skilled attendant at delivery RH.5 0.958 0.024 0.025 3.515 1.875 256 244 0.910 1.000Antenatal care RH.3 0.926 0.026 0.028 2.363 1.537 256 244 0.874 0.977Contraceptive prevalence RH.1 0.464 0.015 0.032 0.876 0.936 1044 995 0.435 0.494Adult literacy ED.8 0.934 0.013 0.014 1.602 1.266 644 615 0.909 0.959Prevalence of female genital mutilation/cutting (FGM/C) CP.7 0.159 0.009 0.056 0.863 0.929 1541 1471 0.141 0.176Marriage before age 18 CP.5 0.140 0.023 0.165 1.296 1.138 308 294 0.094 0.186Polygyny CP.5 0.212 0.012 0.058 0.905 0.952 1044 995 0.187 0.237Comprehensive knowledge about HIV prevention among young people HA.3 0.037 0.005 0.124 0.866 0.930 1541 1471 0.028 0.046

Standard errors, coefficients of variation, design effects (deff ), square root of design effects (deft ) and confidence intervals for selected indicators, Country, Year

Standard error (se )

Value (r )Table

Confidence limits

Unweighted count

Weighted count

Square root of design

effect (deft )

Design effect (deff )

Coefficient of variation

(se/r )

HOUSEHOLD MEMBERS

WOMEN

HOUSEHOLDS

Coefficient of variation (relative error) is the ratio of SE to the estimate

Page 9: Calculation of Sampling Errors MICS3 Regional Workshop on Data Archiving and Dissemination Alexandria, Egypt 3-7 March, 2007

Table SE.2: Sampling errors: Total sample

r - 2se r + 2se

Household availability of ITNs CH.10 0.048 0.011 0.221 2.371 1.540 1009 967 0.027 0.069Iodized salt consumption NU.5 0.821 0.022 0.027 3.130 1.769 1004 962 0.778 0.865Child discipline CP.4 0.725 0.020 0.028 1.570 1.253 792 757 0.684 0.766

Use of improved drinking water sources EN.1 0.753 0.057 0.075 16.594 4.074 6067 967 0.639 0.866Use of improved sanitation facilities EN.5 0.941 0.015 0.016 3.751 1.937 6067 967 0.912 0.970Net primary school attendance rate ED.3 0.601 0.015 0.025 0.798 0.893 859 819 0.571 0.632Net secondary school attendance rate ED.4 0.810 0.019 0.023 2.192 1.481 1013 968 0.772 0.847Primary completion rate ED.6 0.861 0.032 0.037 1.286 1.134 159 152 0.797 0.925Child labour CP.2 0.111 0.016 0.148 3.759 1.939 1443 1376 0.078 0.143Prevalence of orphans HA.10 0.036 0.006 0.169 2.542 1.594 2533 2417 0.024 0.048Prevalence of vulnerable children HA.11 0.555 0.023 0.041 5.181 2.276 2533 2417 0.509 0.601

Skilled attendant at delivery RH.5 0.958 0.024 0.025 3.515 1.875 256 244 0.910 1.000Antenatal care RH.3 0.926 0.026 0.028 2.363 1.537 256 244 0.874 0.977Contraceptive prevalence RH.1 0.464 0.015 0.032 0.876 0.936 1044 995 0.435 0.494Adult literacy ED.8 0.934 0.013 0.014 1.602 1.266 644 615 0.909 0.959Prevalence of female genital mutilation/cutting (FGM/C) CP.7 0.159 0.009 0.056 0.863 0.929 1541 1471 0.141 0.176Marriage before age 18 CP.5 0.140 0.023 0.165 1.296 1.138 308 294 0.094 0.186Polygyny CP.5 0.212 0.012 0.058 0.905 0.952 1044 995 0.187 0.237Comprehensive knowledge about HIV prevention among young people HA.3 0.037 0.005 0.124 0.866 0.930 1541 1471 0.028 0.046

Standard errors, coefficients of variation, design effects (deff ), square root of design effects (deft ) and confidence intervals for selected indicators, Country, Year

Standard error (se )

Value (r )Table

Confidence limits

Unweighted count

Weighted count

Square root of design

effect (deft )

Design effect (deff )

Coefficient of variation

(se/r )

HOUSEHOLD MEMBERS

WOMEN

HOUSEHOLDSDesign effect is the ratio between the SE using the current design and the SE that would result if a simple random sample was used. A DEFT value of 1.0 indicates that the sample is as efficient as a SRS

Page 10: Calculation of Sampling Errors MICS3 Regional Workshop on Data Archiving and Dissemination Alexandria, Egypt 3-7 March, 2007

Table SE.2: Sampling errors: Total sample

r - 2se r + 2se

Household availability of ITNs CH.10 0.048 0.011 0.221 2.371 1.540 1009 967 0.027 0.069Iodized salt consumption NU.5 0.821 0.022 0.027 3.130 1.769 1004 962 0.778 0.865Child discipline CP.4 0.725 0.020 0.028 1.570 1.253 792 757 0.684 0.766

Use of improved drinking water sources EN.1 0.753 0.057 0.075 16.594 4.074 6067 967 0.639 0.866Use of improved sanitation facilities EN.5 0.941 0.015 0.016 3.751 1.937 6067 967 0.912 0.970Net primary school attendance rate ED.3 0.601 0.015 0.025 0.798 0.893 859 819 0.571 0.632Net secondary school attendance rate ED.4 0.810 0.019 0.023 2.192 1.481 1013 968 0.772 0.847Primary completion rate ED.6 0.861 0.032 0.037 1.286 1.134 159 152 0.797 0.925Child labour CP.2 0.111 0.016 0.148 3.759 1.939 1443 1376 0.078 0.143Prevalence of orphans HA.10 0.036 0.006 0.169 2.542 1.594 2533 2417 0.024 0.048Prevalence of vulnerable children HA.11 0.555 0.023 0.041 5.181 2.276 2533 2417 0.509 0.601

Skilled attendant at delivery RH.5 0.958 0.024 0.025 3.515 1.875 256 244 0.910 1.000Antenatal care RH.3 0.926 0.026 0.028 2.363 1.537 256 244 0.874 0.977Contraceptive prevalence RH.1 0.464 0.015 0.032 0.876 0.936 1044 995 0.435 0.494Adult literacy ED.8 0.934 0.013 0.014 1.602 1.266 644 615 0.909 0.959Prevalence of female genital mutilation/cutting (FGM/C) CP.7 0.159 0.009 0.056 0.863 0.929 1541 1471 0.141 0.176Marriage before age 18 CP.5 0.140 0.023 0.165 1.296 1.138 308 294 0.094 0.186Polygyny CP.5 0.212 0.012 0.058 0.905 0.952 1044 995 0.187 0.237Comprehensive knowledge about HIV prevention among young people HA.3 0.037 0.005 0.124 0.866 0.930 1541 1471 0.028 0.046

Standard errors, coefficients of variation, design effects (deff ), square root of design effects (deft ) and confidence intervals for selected indicators, Country, Year

Standard error (se )

Value (r )Table

Confidence limits

Unweighted count

Weighted count

Square root of design

effect (deft )

Design effect (deff )

Coefficient of variation

(se/r )

HOUSEHOLD MEMBERS

WOMEN

HOUSEHOLDS

Weighted and unweighted counts

Page 11: Calculation of Sampling Errors MICS3 Regional Workshop on Data Archiving and Dissemination Alexandria, Egypt 3-7 March, 2007

Table SE.2: Sampling errors: Total sample

r - 2se r + 2se

Household availability of ITNs CH.10 0.048 0.011 0.221 2.371 1.540 1009 967 0.027 0.069Iodized salt consumption NU.5 0.821 0.022 0.027 3.130 1.769 1004 962 0.778 0.865Child discipline CP.4 0.725 0.020 0.028 1.570 1.253 792 757 0.684 0.766

Use of improved drinking water sources EN.1 0.753 0.057 0.075 16.594 4.074 6067 967 0.639 0.866Use of improved sanitation facilities EN.5 0.941 0.015 0.016 3.751 1.937 6067 967 0.912 0.970Net primary school attendance rate ED.3 0.601 0.015 0.025 0.798 0.893 859 819 0.571 0.632Net secondary school attendance rate ED.4 0.810 0.019 0.023 2.192 1.481 1013 968 0.772 0.847Primary completion rate ED.6 0.861 0.032 0.037 1.286 1.134 159 152 0.797 0.925Child labour CP.2 0.111 0.016 0.148 3.759 1.939 1443 1376 0.078 0.143Prevalence of orphans HA.10 0.036 0.006 0.169 2.542 1.594 2533 2417 0.024 0.048Prevalence of vulnerable children HA.11 0.555 0.023 0.041 5.181 2.276 2533 2417 0.509 0.601

Skilled attendant at delivery RH.5 0.958 0.024 0.025 3.515 1.875 256 244 0.910 1.000Antenatal care RH.3 0.926 0.026 0.028 2.363 1.537 256 244 0.874 0.977Contraceptive prevalence RH.1 0.464 0.015 0.032 0.876 0.936 1044 995 0.435 0.494Adult literacy ED.8 0.934 0.013 0.014 1.602 1.266 644 615 0.909 0.959Prevalence of female genital mutilation/cutting (FGM/C) CP.7 0.159 0.009 0.056 0.863 0.929 1541 1471 0.141 0.176Marriage before age 18 CP.5 0.140 0.023 0.165 1.296 1.138 308 294 0.094 0.186Polygyny CP.5 0.212 0.012 0.058 0.905 0.952 1044 995 0.187 0.237Comprehensive knowledge about HIV prevention among young people HA.3 0.037 0.005 0.124 0.866 0.930 1541 1471 0.028 0.046

Standard errors, coefficients of variation, design effects (deff ), square root of design effects (deft ) and confidence intervals for selected indicators, Country, Year

Standard error (se )

Value (r )Table

Confidence limits

Unweighted count

Weighted count

Square root of design

effect (deft )

Design effect (deff )

Coefficient of variation

(se/r )

HOUSEHOLD MEMBERS

WOMEN

HOUSEHOLDSUpper and lower confidence limits are calculated as p +/- 2.SE

Indicate the ranges within which the estimate would fall in 95 percent of all possible samples of identical design and size

Page 12: Calculation of Sampling Errors MICS3 Regional Workshop on Data Archiving and Dissemination Alexandria, Egypt 3-7 March, 2007

Calculating Sampling Errors

Customize all syntax – SE01, SE02 and SE03. Remember to copy your customized “CHRECVAC.sps” syntax into the same directory.

Run “SE01 Sampling Error Calculation.sps”.

This calls “SE02 Strata Pairs.sps”, which pairs clusters and creates pseudo-strata, necessary for these calculations

SE01 calls SE03 also, and calculates sampling errors for the variables in SE03.

The model syntax includes calculations for national, urban and rural areas, and 5 regions.

Page 13: Calculation of Sampling Errors MICS3 Regional Workshop on Data Archiving and Dissemination Alexandria, Egypt 3-7 March, 2007

How SPSS works

COMPLEX SAMPLES module

Can be used to select a sample, or indicate the design of the sample from which the data set comes, so that sampling error estimates can be calculated

Calculations can be done for means and proportions, ratios, frequencies and crosstabs. Also possible to use general linear models and logistic regression by taking complex designs into account.

Page 14: Calculation of Sampling Errors MICS3 Regional Workshop on Data Archiving and Dissemination Alexandria, Egypt 3-7 March, 2007

How SPSS works

Prepare an analysis file to indicate the parameters that define the sample design.CSPLAN ANALYSIS /PLAN FILE='micsplan.csplan' /PLANVARS ANALYSISWEIGHT=hhweight /PRINT PLAN /DESIGN STRATA= strat CLUSTER= HH1 /ESTIMATOR TYPE=WR.

Using the plan file, calculate sampling errors.CSDESCRIPTIVES /PLAN FILE = 'micsplan.csplan' /SUMMARY VARIABLES =treated iodized /MEAN /STATISTICS SE CV COUNT DEFF DEFFSQRT /MISSING SCOPE = ANALYSIS CLASSMISSING = EXCLUDE.

Page 15: Calculation of Sampling Errors MICS3 Regional Workshop on Data Archiving and Dissemination Alexandria, Egypt 3-7 March, 2007

SPSS Output

Univariate Statistics

.7526 .05655 .075 16.594 4.074 6067372298 967

.9410 .01468 .016 3.751 1.937 6067372298 967

Use of improveddrinking water sources

Use of improvedsanitation facilities

MeanEstimate

StandardError

Coefficientof Variation Design Effect

Square RootDesign Effect

PopulationSize

UnweightedCount

Univariate Statistics

.0478 .01057 .221 2.371 1.540 1009132523 967

.8215 .02186 .027 3.130 1.769 1003887034 962

.7252 .02034 .028 1.570 1.253 791517953 757

Household availability ofinsecticide treated nets

Iodized salt consumption

Child discipline

MeanEstimate

StandardError

Coefficientof Variation Design Effect

Square RootDesign Effect

PopulationSize

UnweightedCount

Univariate Statistics

.6011 .01529 .025 .798 .893 859422087 819

.8095 .01870 .023 2.192 1.481 1012959640 968

.8611 .03191 .037 1.286 1.134 158806456 152

.1107 .01640 .148 3.759 1.939 1442937328 1376

.0357 .00602 .169 2.542 1.594 2532668653 2417

.5550 .02301 .041 5.181 2.276 2532668653 2417

Net primary schoolattendance rate

Net secondary schoolattendance rate

Primary completion rate

Child labour

Prevalence of orphans

Prevalence ofvulnerable children

MeanEstimate

StandardError

Coefficientof Variation Design Effect

Square RootDesign Effect

PopulationSize

UnweightedCount

Page 16: Calculation of Sampling Errors MICS3 Regional Workshop on Data Archiving and Dissemination Alexandria, Egypt 3-7 March, 2007

SPSS Output

Univariate Statistics

.7526 .05655 .075 16.594 4.074 6067372298 967

.9410 .01468 .016 3.751 1.937 6067372298 967

Use of improveddrinking water sources

Use of improvedsanitation facilities

MeanEstimate

StandardError

Coefficientof Variation Design Effect

Square RootDesign Effect

PopulationSize

UnweightedCount

Univariate Statistics

.0478 .01057 .221 2.371 1.540 1009132523 967

.8215 .02186 .027 3.130 1.769 1003887034 962

.7252 .02034 .028 1.570 1.253 791517953 757

Household availability ofinsecticide treated nets

Iodized salt consumption

Child discipline

MeanEstimate

StandardError

Coefficientof Variation Design Effect

Square RootDesign Effect

PopulationSize

UnweightedCount

Univariate Statistics

.6011 .01529 .025 .798 .893 859422087 819

.8095 .01870 .023 2.192 1.481 1012959640 968

.8611 .03191 .037 1.286 1.134 158806456 152

.1107 .01640 .148 3.759 1.939 1442937328 1376

.0357 .00602 .169 2.542 1.594 2532668653 2417

.5550 .02301 .041 5.181 2.276 2532668653 2417

Net primary schoolattendance rate

Net secondary schoolattendance rate

Primary completion rate

Child labour

Prevalence of orphans

Prevalence ofvulnerable children

MeanEstimate

StandardError

Coefficientof Variation Design Effect

Square RootDesign Effect

PopulationSize

UnweightedCount

Compare these values to those in your tables. They should have exactly the same values as in the tables. Otherwise, there are differences between the syntax used for tabulating the indicator and the syntax used in SE03 Calculate

Page 17: Calculation of Sampling Errors MICS3 Regional Workshop on Data Archiving and Dissemination Alexandria, Egypt 3-7 March, 2007

SPSS Output

Univariate Statistics

.9584 .02402 .025 3.515 1.875 256387190 244

.9258 .02585 .028 2.363 1.537 256387190 244

.4644 .01481 .032 .876 .936 1043537884 995

.9340 .01268 .014 1.602 1.266 644164629 615

.1586 .00885 .056 .863 .929 1540968482 1471

.1399 .02307 .165 1.296 1.138 308178444 294

.2120 .01234 .058 .905 .952 1043537884 995

.0367 .00457 .124 .866 .930 1540968482 1471

.5653 .02735 .048 .843 .918 291473860 278

.4890 .02851 .058 1.041 1.020 335986185 321

.0563 .00855 .152 1.157 1.075 881266503 843

.0420 .00541 .129 1.068 1.033 1540968482 1471

.3602 .02162 .060 2.981 1.726 1540968482 1471

Skilled attendant atdelivery

Antenatal care

Contraceptive prevalence

Adult literacy

Prevalence of FGM/C

Marriage before age 18

Polygyny

Comprehensiveknowledge about HIVprevention among youngpeople

Condom use withnon-regular partners

Age at first sex amongyoung people

Attitudes towards peoplewith HIV/AIDS

Women who have beentested for HIV

Knowledge ofmother-to-childtransmission of HIV

MeanEstimate

StandardError

Coefficientof Variation Design Effect

Square RootDesign Effect

PopulationSize

UnweightedCount

Page 18: Calculation of Sampling Errors MICS3 Regional Workshop on Data Archiving and Dissemination Alexandria, Egypt 3-7 March, 2007

SPSS OutputUnivariate Statistics

.1406 .01522 .108 1.088 1.043 597601265 568

.9270 .01812 .020 .660 .812 144153507 137

.2735 .04271 .156 1.203 1.097 138833214 132

.3780 .04439 .117 1.081 1.040 136799156 130

.8294 .03067 .037 .811 .901 129327231 123

.1842 .03587 .195 1.156 1.075 143136478 136

.0016 .00159 1.002 .970 .985 642626826 611

1.0000 .00000 .000 . . 1017029.000 1

.1277 .01923 .151 2.024 1.423 642626826 611

.2528 .05550 .220 1.256 1.121 82091251.0 78

.0000 .00000 . . . 642626826 611

.0409 .00906 .221 1.274 1.129 642626826 611

.0387 .00354 .091 .008 .090 26307530.0 25

.5942 .02157 .036 1.177 1.085 642626826 611

.9358 .01393 .015 1.972 1.404 642626826 611

Underweight prevalence

Tuberculosisimmunization coverage

Polio immunizationcoverage

Immunization coveragefor DPT

Measles immunizationcoverage

Fully immunized children

Acute respiratory infectionin last two weeks

Antibiotic treatment ofsuspected pneumonia

Diarrhoea in last twoweeks

Received ORT orincreased fluids andcontinued feeding

Under-fives sleepingunder ITNs

Fever in last two weeks

Antimalarial treatment

Support for learning

Birth registration

MeanEstimate

StandardError

Coefficientof Variation Design Effect

Square RootDesign Effect

PopulationSize

UnweightedCount

Page 19: Calculation of Sampling Errors MICS3 Regional Workshop on Data Archiving and Dissemination Alexandria, Egypt 3-7 March, 2007

SPSS OutputUnivariate Statistics

.1406 .01522 .108 1.088 1.043 597601265 568

.9270 .01812 .020 .660 .812 144153507 137

.2735 .04271 .156 1.203 1.097 138833214 132

.3780 .04439 .117 1.081 1.040 136799156 130

.8294 .03067 .037 .811 .901 129327231 123

.1842 .03587 .195 1.156 1.075 143136478 136

.0016 .00159 1.002 .970 .985 642626826 611

1.0000 .00000 .000 . . 1017029.000 1

.1277 .01923 .151 2.024 1.423 642626826 611

.2528 .05550 .220 1.256 1.121 82091251.0 78

.0000 .00000 . . . 642626826 611

.0409 .00906 .221 1.274 1.129 642626826 611

.0387 .00354 .091 .008 .090 26307530.0 25

.5942 .02157 .036 1.177 1.085 642626826 611

.9358 .01393 .015 1.972 1.404 642626826 611

Underweight prevalence

Tuberculosisimmunization coverage

Polio immunizationcoverage

Immunization coveragefor DPT

Measles immunizationcoverage

Fully immunized children

Acute respiratory infectionin last two weeks

Antibiotic treatment ofsuspected pneumonia

Diarrhoea in last twoweeks

Received ORT orincreased fluids andcontinued feeding

Under-fives sleepingunder ITNs

Fever in last two weeks

Antimalarial treatment

Support for learning

Birth registration

MeanEstimate

StandardError

Coefficientof Variation Design Effect

Square RootDesign Effect

PopulationSize

UnweightedCount

The output does not include confidence limits, because SPSS cannot calculate these correctly

These are calculated later in the excel template

Page 20: Calculation of Sampling Errors MICS3 Regional Workshop on Data Archiving and Dissemination Alexandria, Egypt 3-7 March, 2007

SPSS OutputUnivariate Statistics

.1406 .01522 .108 1.088 1.043 597601265 568

.9270 .01812 .020 .660 .812 144153507 137

.2735 .04271 .156 1.203 1.097 138833214 132

.3780 .04439 .117 1.081 1.040 136799156 130

.8294 .03067 .037 .811 .901 129327231 123

.1842 .03587 .195 1.156 1.075 143136478 136

.0016 .00159 1.002 .970 .985 642626826 611

1.0000 .00000 .000 . . 1017029.000 1

.1277 .01923 .151 2.024 1.423 642626826 611

.2528 .05550 .220 1.256 1.121 82091251.0 78

.0000 .00000 . . . 642626826 611

.0409 .00906 .221 1.274 1.129 642626826 611

.0387 .00354 .091 .008 .090 26307530.0 25

.5942 .02157 .036 1.177 1.085 642626826 611

.9358 .01393 .015 1.972 1.404 642626826 611

Underweight prevalence

Tuberculosisimmunization coverage

Polio immunizationcoverage

Immunization coveragefor DPT

Measles immunizationcoverage

Fully immunized children

Acute respiratory infectionin last two weeks

Antibiotic treatment ofsuspected pneumonia

Diarrhoea in last twoweeks

Received ORT orincreased fluids andcontinued feeding

Under-fives sleepingunder ITNs

Fever in last two weeks

Antimalarial treatment

Support for learning

Birth registration

MeanEstimate

StandardError

Coefficientof Variation Design Effect

Square RootDesign Effect

PopulationSize

UnweightedCount

SPSS cannot handle normalized weights – requires the weight variable to be always above 1.

We therefore multiply the sample weight variable with 1,000,000 to enable calculations.

This is later “corrected” in the excel template

Page 21: Calculation of Sampling Errors MICS3 Regional Workshop on Data Archiving and Dissemination Alexandria, Egypt 3-7 March, 2007

Using the Excel template

Copy all values from the SPSS output to the Excel template

Confidence limits are automatically calculated

Copy values on the last column (“Weighted count” in red) onto the “Weighted Count” column, by using “Copy – Paste Special – Values”. This returns the weighted counts back to normal (divides by 1,000,000)

Delete the last column

NOTE: When copying values from the SPSS output to the Excel template, do not copy first to word, and then to excel. This truncates values and you obtain incorrect values in the template. Copy directly from SPSS to Excel

Page 22: Calculation of Sampling Errors MICS3 Regional Workshop on Data Archiving and Dissemination Alexandria, Egypt 3-7 March, 2007

Table SE.5: Sampling errors: Region 1

r - 2se r + 2se

Underweight prevalence NU.1 0.141 0.015 0.108 1.088 1.043 598 568 0.110 0.171Tuberculosis immunization coverage CH.2 1.000 0.000 0.000 NA NA 144 137 1.000 1.000Polio immunization coverage CH.2 0.273 0.043 0.156 1.203 1.097 139 132 0.188 0.359Immunization coverage for DPT CH.2 0.378 0.044 0.117 1.081 1.040 137 130 0.289 0.467Measles immunization coverage CH.2 0.829 0.031 0.037 0.811 0.901 129 123 0.768 0.891Fully immunized children CH.2 0.184 0.036 0.195 1.156 1.075 143 136 0.112 0.256Acute respiratory infection in last two weeks CH.6 0.002 0.002 1.002 0.970 0.985 643 611 0.000 0.005Antibiotic treatment of suspected pneumonia CH.7 * * * * * 1 1 * *Diarrhoea in last two weeks CH.4 0.128 0.019 0.151 2.024 1.423 643 611 0.089 0.166Received ORT or increased fluids and continued feeding CH.5 0.253 0.055 0.220 1.256 1.121 82 78 0.142 0.364Under-fives sleeping under insecticide treated nets CH.11 0.000 0.000 0.000 NA NA 643 611 0.000 0.000Fever in last two weeks CH.12 0.041 0.009 0.221 1.274 1.129 643 611 0.023 0.059Antimalarial treatment CH.12 * * * * * 26 25 * *Support for learning CD.1 0.594 0.022 0.036 1.177 1.085 643 611 0.551 0.637Birth registration CP.1 0.936 0.014 0.015 1.972 1.404 643 611 0.908 0.964

Coefficient of variation

(se/r )UNDER-5s

Standard errors, coefficients of variation, design effects (deff ), square root of design effects (deft ) and confidence intervals for selected indicators, Country, Year

Standard error (se )

Value (r )Table

Confidence limits

Unweighted count

Weighted count

Square root of design

effect (deft )

Design effect (deff )

If the value of the indicator is 0.000 or 1.000, then you should complete the row as follows

If the value is based on less than 50 unweighted cases, suppress all values for that indicator, with the exception of the unweighted and weighted counts