Page 212 - Quantitative Data Analysis
P. 212

Quantitative Data Analysis
                                              Simply Explained Using SPSS













                                  
                                        
                                                
                                                             
               While in exploratory factor analysis, each variable’s loading is
               defined as,



               Factor  analysis  assumes  that  the  covariation  on  in  the  observed
               variables  is  due  to  the  effect  of  one  or  more  construct  (latent
               variable) that utilize casual influence on these observed variables.
                     Principal Component Analysis   Exploratory Factor Analysis
                     PCA uses total variance of all   EFA divides total variance into
                1    variables and treats it as a true   measurement error and true
                     variance.                   factor variance.
                                                 EFA can give multiple solutions
                     PCA gives one and only one
                2                                depends on the estimation
                     unique solutions
                                                 methods of communality.
                     the component analysis is
                     simply a transformation of the
                3    original variables into the new   Whereas, factor analysis, the
                                                 factors can only be estimated.
                     set of linear combination
                     (Stevens, 2012)
                                                 The goal of FA (EFA/CFA) is to
                     The goal of PCA is to extract as   explain maximum covariance
                4    much as variance with few   with a few possible factors that
                     possible components         are tied specifically to assumed
                                                 constructs.
                                                 EFA states the observed
                     PCA states the component(s) as
                5                                variables as a function of
                     a functions of variables
                                                 factor(s).

               The Theory and Applications of Statistical Inferences           196
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