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Factor Analysis by Minimizing Residuals (Minres)

Published online by Cambridge University Press:  01 January 2025

Harry H. Harman  and
Wayne H. Jones
Harry H. Harman
Affiliation:
System Development Corporation
Wayne H. Jones
Affiliation:
System Development Corporation
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Abstract

This paper is addressed to the classical problem of estimating factor loadings under the condition that the sum of squares of off-diagonal residuals be minimized. Communalities consistent with this criterion are produced as a by-product. The experimental work included several alternative algorithms before a highly efficient method was developed. The final procedure is illustrated with a numerical example. Some relationships of minres to principal-factor analysis and maximum-likelihood factor estimates are discussed, and several unresolved problems are pointed out.

Type
Original Paper
Information
Psychometrika , Volume 31 , Issue 3 , September 1966 , pp. 351 - 368
Copyright
Copyright © 1966 Psychometric Society

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Footnotes

*

The authors wish to thank the Factor Analysis Work Group (supported, in part, by ONR) for valuable criticisms and suggestions made in the course of a discussion of the present work in April, 1965.

†

Now with the Department of Defense.

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