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Orthogonal Rotation to Congruence

Published online by Cambridge University Press:  01 January 2025

Norman Cliff
Norman Cliff*
Affiliation:
University of Southern California
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Abstract

Two problems are considered. The first is that of rotating two factor solutions orthogonally to a position where corresponding factors are as similar as possible. A least-squares solution for transformations of the two factor matrices is developed. The second problem is that of rotating a factor matrix orthogonally to a specified target matrix. The solution to the second problem is related to the first. Applications are discussed.

Type
Original Paper
Information
Psychometrika , Volume 31 , Issue 1 , March 1966 , pp. 33 - 42
Copyright
Copyright © 1966 Psychometric Society

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Footnotes

*

This research was supported in part by contract Nonr 228 (22) between the office of Naval Research and the University of Southern California. Portions of this paper were presented at the American Psychological Association Convention, Los Angeles, September, 1964.

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