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Structural Analysis of Covariance and Correlation Matrices

Published online by Cambridge University Press:  01 January 2025

Karl G. Jöreskog
Karl G. Jöreskog*
Affiliation:
University of Uppsala
*
Requests for reprints should be addressed to Karl G. Jöreskog, Department of Statistics, University of Uppsala, P.O. Box 513, S-751 20 UPPSALA, Sweden
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Abstract

A general approach to the analysis of covariance structures is considered, in which the variances and covariances or correlations of the observed variables are directly expressed in terms of the parameters of interest. The statistical problems of identification, estimation and testing of such covariance or correlation structures are discussed.

Several different types of covariance structures are considered as special cases of the general model. These include models for sets of congeneric tests, models for confirmatory and exploratory factor analysis, models for estimation of variance and covariance components, regression models with measurement errors, path analysis models, simplex and circumplex models. Many of the different types of covariance structures are illustrated by means of real data.

Keywords

covariance structure analysisfactor analysisvariance componentspath analysissimplexcircumplex
Type
Original Paper
Information
Psychometrika , Volume 43 , Issue 4 , December 1978 , pp. 443 - 477
Copyright
Copyright © 1978 The Psychometric Society

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Footnotes

1978 Psychometric Society Presidential Address.

This research has been supported by the Bank of Sweden Tercentenary Foundation under the project entitled Structural Equation Models in the Social Sciences, Karl G. Jöreskog, project director.

References

Reference Notes

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