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    BUSINESS ANALYTICS ASSIGNMENTRE-TEST

    Submitted by: Sajitha Nair

    Roll no: 2014A53

    INDEX

    QUESTION 1:...............................................................................................1

    Analysis:.................................................................................................1

    Step 1:.................................................................................................1

    Step 2:.................................................................................................1

    Step : !MO an" Ba#tlett$s Test...................................................................2

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    Step %: C&''(nalities.............................................................................

    Step ): T& "ete#'ine n('*e# &+ ,&'p&nents..................................................

    Step -: T& "ete#'ine a#ia*les in ea,/ ,&'p&nent...........................................)

    Step 0: T& ,/e, t/e #elia*ility &+ ea,/ ,&'p&nent...........................................-

    Step : 3e'&e ,&'p&nent an" ,&'p&nent % as t/ey a#e n&t si4ni+i,ant..............

    Step 5:.................................................................................................5

    Step 16: C/e, 3elia*ility &+ ea,/ ,&'p&nent...............................................16

    QUESTION 2:..............................................................................................12

    ANALYSIS:...............................................................................................12

    Bl&, 1: Met/&" 7 Ba,8a#" Step8ise 9Lieli/&&" 3ati&.....................................12

    T/e 3e4#essi&n E;(ati&n.............................................................................10

    QUESTION 1:A music frm has collected data on music preerences o 1500 respondents. The data are in

    the fle music.sav. The music preerences cover a broad range o categories (look at thevariables in the fle). The music frm wants a broad segmentation o the music preerences

    o a actor anal!sis to ascertain the actor structure o the data. "hat are the segments

    !ou can identi!# "rite down the table o actor loadings.

    Analysis:

    Step 1:$pen the music.sav fle on the %&%% platorm. The fle contains music preerences o

    respondants or 'igband usic 'luegrass usic *ountr! "estern usic 'lues or + , '

    usic 'roadwa!s usicals *lassical usic -olk usic $pera +ap usic and eav!

    etal usic. A likert / point scale is used or the surve!.

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    Step 2:Anal!e imension +eduction -actor

    %elect all the music bands into variable list.

    nder escriptives $ption select

    *oe2icients

    Anti34mage

    $ and 'artlett6s test o sphericit!

    nder 78traction $ption select

    %cree &lot

    nder +otation select

    9arima8

    nder %cores select

    %ave as 9ariables

    nder $ptions select %orted b! sie

    +un the anal!sis

    Step : !MO an" Ba#tlett$s Test

    aiser3e!er3$lkin easure o %ampling Ade:uac! 3 This measure varies between 0 and 1

    and values closer to 1 are better. A value o .5 is a suggested minimum.

    ere $ ; 0. ? 0.5 thereore signifcant

    'artlett@s Test o %phericit!

    Bull !pothesis states that the correlation matri8 is an identit! matri8.

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    ere %ig. ; .000 C0.05

    "e reDect the null h!pothesis.

    Taken together $ and 'artlett6s Test sa!s that the data is signifcant or actor anal!sis

    Step %: C&''(nalities

    The values in this *ommunalities column indicate the proportion o each variable@s varianc

    that can be e8plained b! the retained actors. 9ariables with high values are well

    represented in the common actor space while variables with low values are not well

    represented.

    inimum *riteriaE The e8traction value or each variable F 0.5

    ere all actors have signifcant loading since the e8traction value or each variable F 0.5

    Step ): T& "ete#'ine n('*e# &+ ,&'p&nents

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    The initial number o components is the same as the number o variables used in the acto

    anal!sis. owever not all 11 components will be retained.

    ere each variable has a variance o 1 and the frst component will account or variance o

    G.H

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    Step -: T& "ete#'ine a#ia*les in ea,/ ,&'p&nent

    ere we w

    consider

    rotated

    component

    matri8because in

    this case 9arima

    +otation

    tries to

    ma8imie th

    variance o

    each o the

    actors so

    the total amoun

    o varianceaccounted

    or is redistributed over the

    our e8tracted actors.

    *omponent 1E *lassical usic $pera 'roadwa! usicals -olk usic 'ig 'and usic

    *omponent HE 'lues or + , ' usic La usic

    *omponent GE *ountr! "estern usic 'luegrass usic

    *omponent =E eav! etal usic +ap usic

    Step 0: T& ,/e, t/e #elia*ility &+ ea,/ ,&'p&nentAnal!e %cale +eliabilit! Anal!sis

    4n %tatistics select

    %cale i 4tem deleted

    *riteriaE

    *ronbach alpha is the measure o internal consistenc! that is how closel! related set o

    items are in group

    inimum *riteriaE *ronbach6s alpha F 0.