ABSTRACT

Most factor analysts are interested in nding the common factors for a reduced correlation matrix Rc = (RYY − Y2). Although there are several different ways to accomplish this, most ways assume, as a matter of convenience, that all factors to be found will initially be uncorrelated with one another. This makes it possible to equate the coef cients in a factor pattern matrix with correlations between the factors and the observed variables. The reason for this is given in Equation 6.17, which gives the factor structure matrix as RYX = LRXX. If the factors are uncorrelated, then RXX = I, and RYX = L. The task facing the factor analyst then is to de ne the factors and to determine the correlations of the variables with them.