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A General Rotation Criterion and Its Use in Orthogonal Rotation

Published online by Cambridge University Press:  01 January 2025

Charles B. Crawford  and
George A. Ferguson
Charles B. Crawford
Affiliation:
McGill University, Montreal
George A. Ferguson
Affiliation:
McGill University, Montreal
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Abstract

Measures of test parsimony and factor parsimony are defined. Minimizing their weighted sum produces a general rotation criterion for either oblique or orthogonal rotation. The quartimax, varimax and equamax criteria are special cases of the expression. Two new criteria are developed. One of these, the parsimax criterion, apparently gives excellent results. It is argued that one of the most important factors bearing on the choice of a rotation criterion for a particular problem is the amount of information available on the number of factors that should be rotated.

Type
Original Paper
Information
Psychometrika , Volume 35 , Issue 3 , September 1970 , pp. 321 - 332
Copyright
Copyright © 1970 The Psychometric Society

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Footnotes

*

This research was supported by the National Research Council of Canada research grant 291-13 to Dr. G. A. Ferguson.

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