The key statistics associated with factor analysis are as follows: Bartlett’s test of sphericity. Bartlett’s test of sphericity is a test statistic used to examine the hypothesis that the variables are uncorrelated in the population. In other words, the population correlation matrix is an identity matrix; each variable correlates perfectly with itself (r = I)…
Mathematically, factor analysis is somewhat similar to multiple regression analysis, in that each variable is expressed as a linear combination of underlying factors. The amount of variance a variable shares with all other variables included in the analysis is referred to as commonality. The covariation among the variables is described in terms of a small…
Factor analysis is a general name denoting a class of procedures primarily used for data reduction and summarization. In marketing research, there may be a large number of variables, most of which are correlated and which must be reduced to a manageable level. Relationships among sets of many interrelated variables are examined and represented in…
In analysis of variance , regression, and discriminant analysis ,one of the variables is clearly identified as the dependent variable. We now turn to a procedure, factor analysis, in which variables are not classified asindependent or dependent. Instead, the whole set of interdependent relationships among variables is examined. This chapter discusses the basic concept of…
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