Thurstone factor analysis

G. H. Dunteman, Principal Components Analysis. Sage Publications, Newbury Park, CA, 1989. L.L. Thurstone, Multiple-factor Analysis. A Development and Expansion of the Vectors of Mind. Univ. Chicago Press, Chicago, 1947. 

Thurstone, L.L. 1947. Multiple-factor Analysis. Chicago University of Chicago Press. 

L. L. Thurstone. Multiple-Factor Analysis. University of Chicago Press, Chicago, London, 1947. 

Some of the first ideas on multi-way analysis were published by Raymond Cattell [1944,1952], Thurstone s principle of parsimony states that a simple structure should be found to describe a data matrix or its correlation matrix with the help of factors [Thurstone 1935], For the simultaneous analysis of several matrices together, Cattell proposed to use the principle of parallel proportional profiles [Cattell 1944], The principle of parallel proportional profiles states that a set of common factors should be found that can be fitted with different dimension weights to many data matrices at the same time. This is the same as finding a common set of factors for a stack of matrices, a three-way array. To quote Cattell ... 

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