Chapter 17: Exploratory Factor Analysis

Transcription

DISCOVERINGSTATISTICSUSINGSPSSChapter 17: Exploratory factor analysisSmart Alex’s SolutionsTask .(Settheiterationstoconvergenceto30.)Running the ationmatrixofvariables(theR- ‐matrix).TheCoefficientsoptionproducestheR- heR- ��thavecausetoworry.PROFESSORANDYPFIELD1

selectedtoobtainthissummary.TheAnti- ‐imageoptionproducesananti- relation/covariancesontheoff- hemfromtheanalysis.Theoff- al)rotationmethodhasbeenused.PROFESSORANDYPFIELD2

eaterthanauser- esclusteredclosetothex- dthey- ctureswithinthedata.PROFESSORANDYPFIELD3

esareuncorrelatedthenselecttheAnderson- InPROFESSORANDYPFIELD4

suresthatfactorloadingswithin g output from theextentofmissingdata.ThetophalfoftheR- sthebottomhalfcontainstheone- ‐tailedPROFESSORANDYPFIELD5

re,wewon’teliminateanyquestionsatthisstage.ae la 23.03C0.918Q7016220o904094r41r e 4.0010000330700900a.De te rix(R anti- tandlastPROFESSORANDYPFIELD6

ti- rianceandcorrelation)andsoonlytheanti- isthemostinformative.Inverse of Correlation sis.KMO and Bartlett's TestKaiser-Meyer-Olkin Measure of Sampling Adequacy.Bartlett's Test of Sphericity.930Approx. DYPFIELD7

onaloftheanti- ls).Thesevaluesmaketheanti- ftheoutput(althoughtheanti- hediagonalelementsoftheanti- emoveavariablebesuretore- ‐examinethenewanti- ‐imagecorrelationmatrix.Asfortherestoftheanti- ‐imagecorrelationmatrix,theoff- f- nificanttesttellsusthattheR- ysignificant(p oftheR- vectors)intheR- zed.PROFESSORANDYPFIELD8

otal Variance 64.333Initial Eigenvalues% 695.31996.96998.552100.000Extraction Sums of Squared Loadings% 967.5605.7255.33631.69639.25644.98150.317Rotation Sums of Squared Loadings% ion Method: Principal Component ecommunalitiesafterextraction.PROFESSORANDYPFIELD9

.378.487.683.597.343.484.550.464.412Extraction Method: Principal ComponentComponent 71Extraction Method: Principal Component Analysis.a. 4 components panddividingbythenumberofcommunalities(11.573/23 enthelargePROFESSORANDYPFIELD10

ionforeachvariable.PROFESSORANDYPFIELD11

nsinthereproducedmatrixdifferfromthoseintheR- bserveddatais .099.Thecorrelationbasedonthemodelis enceasfollows:residual                 𝑟observed   𝑟from  modelresidual!! !! 0.099 0.112 roundsforconcern.PROFESSORANDYPFIELD12

DISCOVERINGSTATISTICSUSINGSPSSOrthogonal rotation 02)suggestionthatthiscut- eanalysisrepresentssomereal- ub- ROFESSORANDYPFIELD13

DISCOVERINGSTATISTICSUSINGSPSSRotated Component Matrixa1I have little experience of computersSPSS always crashes when I try to use itI worry that I will cause irreparable damage becauseof my incompetenece with computersAll computers hate meComputers have minds of their own and deliberatelygo wrong whenever I use themComputers are useful only for playing gamesComputers are out to get meI can't sleep for thoughts of eigen vectorsI wake up under my duvet thinking that I am trappedunder a normal distribtionStandard deviations excite mePeople try to tell you that SPSS makes statisticseasier to understand but it doesn'tI dream that Pearson is attacking me with correlationcoefficientsI weep openly at the mention of central tendencyStatiscs makes me cryI don't understand statisticsI have never been good at mathematicsI slip into a coma whenever I see an equationI did badly at mathematics at schoolMy friends are better at statistics than meMy friends are better at SPSS than I amIf I'm good at statistics my friends will think I'm a nerdMy friends will think I'm stupid for not being able tocope with SPSSEverybody looks at me when I use 5.586.543.427Extraction Method: Principal Component Analysis.Rotation Method: Varimax with Kaiser Normalization.a. Rotation converged in 9 iterations.Component Transformation on Method: Principal Component Analysis.Rotation Method: Varimax with Kaiser PROFESSORANDYPFIELD14

DISCOVERINGSTATISTICSUSINGSPSSOblique rotationPattern Matrixa1I can't sleep for thoughts of eigen vectorsI wake up under my duvet thinking that I am trappedunder a normal distribtionStandard deviations excite meI dream that Pearson is attacking me with correlationcoefficientsI weep openly at the mention of central tendencyStatiscs makes me cryI don't understand statisticsMy friends are better at SPSS than I amMy friends are better at statistics than meIf I'm good at statistics my friends will think I'm a nerdMy friends will think I'm stupid for not being able tocope with SPSSEverybody looks at me when I use SPSSI have little experience of computersSPSS always crashes when I try to use itAll computers hate meI worry that I will cause irreparable damage becauseof my incompetenece with computersComputers have minds of their own and deliberatelygo wrong whenever I use themComputers are useful only for playing gamesPeople try to tell you that SPSS makes statisticseasier to understand but it doesn'tComputers are out to get meI have never been good at mathematicsI slip into a coma whenever I see an equationI did badly at mathematics at 4-.774Extraction Method: Principal Component Analysis.Rotation Method: Oblimin with Kaiser Normalization.a. Rotation converged in 29 sentsfearofcomputersan

DISCOVERINGSTATISTICS USING SPSS PROFESSOR’ANDY’PFIELD’ ’ 1’ Chapter 17: Exploratory factor analysis Smart Alex’s Solutions Task 1 Rerun’the’analysis’in’this’