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A Multiple Group Method of Factoring the Correlation Matrix

Published online by Cambridge University Press:  01 January 2025

L. L. Thurstone
L. L. Thurstone*
Affiliation:
The University of Chicago
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Abstract

There are a number of methods of factoring the correlation matrix which require the calculation of a table of residual correlations after each factor has been extracted. This is perhaps the most laborious part of factoring. The method to be described here avoids the computation of residuals after each factor has been computed. Since the method turns on the selection of a set of constellations or clusters of test vectors, it will be called a multiple group method of factoring. The method can be used for extracting one factor at a time if that is desired but it will be considered here for the more interesting case in which a number of constellations are selected from the correlation matrix at the start. The result of this method of factoring is a factor matrix F which satisfies the fundamental relation FF'=R.

Type
Original Paper
Information
Psychometrika , Volume 10 , Issue 2 , June 1945 , pp. 73 - 78
Copyright
Copyright © 1945 The Psychometric Society

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Footnotes

*

This study is one of a series of investigations in the development of multiple factor analysis and application to the study of primary mental abilities. We wish to acknowledge the financial assistance from the Social Science Research Committee of The University of Chicago which has made possible the work of the Psychometric Laboratory.