A simple method for procrustean rotation in factor analysis using majorization theory

Trendafilov, Nickolay (1994). A simple method for procrustean rotation in factor analysis using majorization theory. Multivariate Behavioral Research, 29(4) pp. 385–408.

DOI: https://doi.org/10.1207/s15327906mbr2904_4

Abstract

The essential idea in all analytical rotation schemes for approximating Thurstone's simple structure is to split the factor loadings into two groups, the elements of the one tending toward zero, and of the other, toward unity. In the PROMAX method, the loadings of a preliminary factor pattern are raised to a fixed power to provide a target for Procrustean rotation. In this article, a mathematically better-motivated technique based on vector majorization is proposed for this purpose. The method is illustrated with several standard numerical examples.

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