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Some New Results on Factor Indeterminacy

Published online by Cambridge University Press:  01 January 2025

Peter H. Schönemann
Affiliation:
Purdue University
Ming-Mei Wang
Affiliation:
Purdue University

Abstract

Some relations between maximum likelihood factor analysis and factor indeterminacy are discussed. Bounds are derived for the minimum average correlation between equivalent sets of correlated factors which depend on the latent roots of the factor intercorrelation matrix Ψ. Empirical examples are presented to illustrate some of the theory and indicate the extent to which it can be expected to be relevant in practice.

Type
Original Paper
Copyright
Copyright © 1972 The Psychometric Society

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