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On Meredith’s Solution for Weighted Procrustes Rotation

Published online by Cambridge University Press:  01 January 2025

Klaas Nevels
Klaas Nevels*
Affiliation:
University of Groningen
*
Requests for reprints should be sent to K. Nevels, Psychology Department, University of Groningen, THE NETHERLANDS.
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Abstract

Meredith developed a criterion for weighted procrustes rotation. The solution was given using Lagrange multipliers. We show that the solution can be obtained more simply, and that our approach enables us to transform the orthogonalization problem, also considered by Meredith, to that of minimizing a quadratic form on the unit sphere.

Type
Notes And Comments
Information
Psychometrika , Volume 44 , Issue 1 , March 1979 , pp. 121 - 122
Copyright
Copyright © 1979 The Psychometric Society

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References

Meredith, W. On weighted procrustes and hyperplane fitting in factor analytic rotation. Psychometrika, 1977, 42, 491–522.CrossRefGoogle Scholar
Bartels, R. H., Golub, G. H., Saunders, M. A. Numerical Techniques in Mathematical Programming. In Rosen, J. B. Mangasarian, O. L. & Ritter, K.(Eds.), Nonlinear programming, 1970. New York: Academic Press.Google Scholar