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A Note on Structural Models for the Circumplex

Published online by Cambridge University Press:  01 January 2025

Robert Cudeck
Robert Cudeck*
Affiliation:
University of Minnesota
*
Requests for reprints should be sent to Robert Cudeck, Department of Psychology, University of Minnesota, 75 East River Road, Minneapolis, MN 55455.
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Abstract

Jöreskog (1974) developed a latent variable model for the covariance structure of the circumplex which, under certain conditions, includes a model for a patterned correlation matrix (Browne, 1977). This model is of limited usefulness, however, in that it employs a known matrix that is rank deficient for many problems. Furthermore, the model is inappropriate for the circumplex which contains negative covariances. This paper presents alternative models for the perfect circumplex and quasi-circumplex that avoids these difficulties, and that includes the important model for a patterned correlation circumplex matrix. Two numerical examples are provided.

Keywords

patterned correlationsconfirmatory factor analysis
Type
Notes and Comments
Information
Psychometrika , Volume 51 , Issue 1 , March 1986 , pp. 143 - 147
Copyright
Copyright © 1986 The Psychometric Society

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Footnotes

This research was supported in part by a grant from the Graduate School of the University of Minnesota. I wish to thank M. W. Browne for suggesting the final model presented in this paper. James Steiger and the Editor also made several valuable suggestions.

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