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On Weighted Procrustes and Hyperplane Fitting in Factor Analytic Rotation

Published online by Cambridge University Press:  01 January 2025

William Meredith*
Affiliation:
University of California at Berkeley
*
Requests for reprints should be sent to William Meredith, Department of Psychology, University of California, Berkeley, California 94720.

Abstract

A weighted collinearity criterion for Procrustean rotation is developed, and it is shown that special cases with respect to the choice of weights and a vector norm are forms of hyperplane fitting, classical oblique Procrustes, etc.; a family of Procrustean transformation procedures is thereby generated. Numerical illustrations utilizing the Holzinger-Swineford data are presented.

Information

Type
Original Paper
Copyright
Copyright © 1977 The Psychometric Society

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