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A Matrix Formulation of Kaiser's Varimax Criterion

Published online by Cambridge University Press:  01 January 2025

Richard J. Sherin
Richard J. Sherin*
Affiliation:
University of Miami, Florida
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Abstract

Kaiser has given the varimax criterion for the solution of the rotation problem in factor analysis as well as a practical computational procedure for maximizing this criterion. In the present paper, the maximization condition is shown as a matrix equation involving only the unknown orthogonal rotation matrix. This matrix equation can be solved iteratively as a sequence of symmetric eigenproblems.

Type
Original Paper
Information
Psychometrika , Volume 31 , Issue 4 , December 1966 , pp. 535 - 538
Copyright
Copyright © 1966 Psychometric Society

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Footnotes

*

This investigation was supported by Public Health Service grant number MH 07285-03 from the National Institute of Mental Health.

References

Green, B. F. The orthogonal approximation of an oblique structure in factor analysis. Psychometrika, 1952, 17, 429–440.CrossRefGoogle Scholar
Kaiser, H. F. The varimax criterion for analytic rotation in factor analysis. Psychometrika, 1958, 23, 187–200.CrossRefGoogle Scholar
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Schönemann, P. H. Varisim: A new machine method for orthogonal rotation. Psychometrika, 1966, 31, 235–248.CrossRefGoogle ScholarPubMed