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On the Equivalence of Two Oblique Congruence Rotation Methods, and Orthogonal Approximations

Published online by Cambridge University Press:  01 January 2025

Jos M. F. ten Berge
Jos M. F. ten Berge*
Affiliation:
University of Groningen
*
Requests for reprints should be sent to Jos M. F. ten Berge, Psychologisch lnstituut, Oude Boteringestraat 34, Groningen, Netherlands.
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Abstract

Tucker's method of oblique congruence rotation is shown to be equivalent to a procedure by Meredith. This implies that Monte Carlo studies on congruence by Nesselroade, Baltes and Labouvie and by Korth and Tucker are highly comparable. The problem of rotating two matrices orthogonally to maximal congruence has not yet been solved. An approximate solution to this problem can be derived from Tucker's method. Even better results can be obtained from a Procrustes rotation followed by rotation to simple structure.

Keywords

factor-matching

Information

Type
Notes And Comments
Information
Psychometrika , Volume 44 , Issue 3 , September 1979 , pp. 359 - 364
Copyright
Copyright © 1979 The Psychometric Society

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References

References Notes

Ten Berge, J. M. F. Optimizing factorial invariance. Unpublished doctoral dissertation University of Groningen, Department of Psychology, 1977.Google Scholar
Tucker, L. R. A method for synthesis of factor analysis studies, 1951, Washington D. C.: Department of the Army.CrossRefGoogle Scholar

References

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