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A General Solution to Mosier's Oblique Procrustes Problem

Published online by Cambridge University Press:  01 January 2025

Jos M. F. ten Berge  and
Klaas Nevels
Jos M. F. ten Berge*
Affiliation:
University of Groningen
Klaas Nevels
Affiliation:
University of Groningen
*
Requests for reprints should be sent to Jos M. F. ten Berge, Psychology Department, University of Groningen, THE NETHERLANDS.
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Abstract

Browne provided a method for finding a solution to the normal equations derived by Mosier for rotating a factor matrix to a best least squares fit with a specified structure. Cramer showed that Browne's solution is not always valid, and proposed a modified algorithm. Both Browne and Cramer assumed the factor matrix to be of full rank. In this paper a general solution is derived, which takes care of rank deficient factor matrices as well. A new algorithm is offered.

Keywords

oblique Procrustes rotation
Type
Original Paper
Information
Psychometrika , Volume 42 , Issue 4 , December 1977 , pp. 593 - 600
Copyright
Copyright © 1977 The Psychometric Society

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Footnotes

*

The authors are indebted to Jan de Leeuw and Cees van der Laan for pointing this out.

References

Reference Note

Jöreskog, K. G. On rotation to a specified simple structure, 1965, Princeton, N. J.: Educational Testing Service.Google Scholar

References

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