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The Minimum Average Correlation between Equivalent Sets of Uncorrelated Factors

Published online by Cambridge University Press:  01 January 2025

Peter H. Schönemann
Peter H. Schönemann*
Affiliation:
Purdue University
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Abstract

A simplified proof of a lemma by Ledermann [1938], which lies at the core of the factor indeterminacy issue, is presented. It leads to a representation of an orthogonal matrix T, relating equivalent factor solutions, which is different from Ledermann's [1938] and Guttman's [1955]. T is used to evaluate bounds on the average correlation between equivalent sets of uncorrelated factors. It is found that the minimum average correlation is independent of the data.

Keywords

Public PolicyStatistical TheoryAverage CorrelationFactor SolutionEquivalent Factor
Type
Original Paper
Information
Psychometrika , Volume 36 , Issue 1 , March 1971 , pp. 21 - 30
Copyright
Copyright © 1971 The Psychometric Society

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Footnotes

*

This paper owes much to an unknown reviewer.

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Erratum

Peter H. Schönemann