A General Solution to Mosier's Oblique Procrustes Problem

Jos M. F. ten Berge · Klaas Nevels

53 citations0/0 files storedPsychometrika

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Psychometric Methodologies and Testing Statistical Methods and Applications Statistical and numerical algorithms

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.

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References

1975The Foundations of Factor Analysis.1939Determining a Simple Structure When Loadings for Certain Tests are Known 1967On Oblique Procrustes Rotation

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1989Least-Squares Approximation of an Improper Correlation Matrix by a Proper One 1984Orthogonal Rotations to Maximal Agreement for Two or More Matrices of Different Column Orders 1998Conditions for Factor (in)Determinacy in Factor Analysis

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