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Structural analysis of covariance and correlation matrices

Structural analysis of covariance and correlation matrices 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Psychometrika Springer Journals

Structural analysis of covariance and correlation matrices

Psychometrika , Volume 43 (4): 35 – Dec 1, 1978

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References (50)

Publisher
Springer Journals
Copyright
1978 Psychometric Society
ISSN
0033-3123
eISSN
1860-0980
DOI
10.1007/BF02293808
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

PsychometrikaSpringer Journals

Published: Dec 1, 1978

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