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Constrained Least Squares Estimators of Oblique Common Factors

Published online by Cambridge University Press:  01 January 2025

Roderick P. McDonald
Roderick P. McDonald*
Affiliation:
Macquarie University
*
Requests for reprints should be addressed to Roderick P. McDonald, School of Education, Macquarie University, North Ryde, N.S.W., 2113, Australia.
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Abstract

An expression is given for weighted least squares estimators of oblique common factors, constrained to have the same covariance matrix as the factors they estimate. It is shown that if as in exploratory factor analysis, the common factors are obtained by oblique transformation from the Lawley-Rao basis, the constrained estimators are given by the same transformation. Finally a proof of uniqueness is given.

Information

Type
Notes And Comments
Information
Psychometrika , Volume 46 , Issue 3 , September 1981 , pp. 337 - 341
Copyright
Copyright © 1981 The Psychometric Society

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Footnotes

The research reported in this paper was partly supported by Natural Sciences and Engineering Research Council Grant No. A6346.

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