Article1990

A Three-Stage Estimation Procedure for Structural Equation Models with Polytomous Variables

Sik‐Yum Lee · Wai‐Yin Poon · Peter M. Bentler

81 citations0/0 files storedPsychometrika

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Psychometric Methodologies and Testing Statistical Distribution Estimation and Applications Statistical Methods and Bayesian Inference

Abstract

This paper is concerned with the analysis of structural equation models with polytomous variables. A computationally efficient three-stage estimator of the thresholds and the covariance structure parameters, based on partition maximum likelihood and generalized least squares estimation, is proposed. An example is presented to illustrate the method.

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References

1984A General Structural Equation Model with Dichotomous, Ordered Categorical, and Continuous Latent Variable Indicators 1970Fitting a Response Model for n Dichotomously Scored Items 1978Contributions to Factor Analysis of Dichotomous Variables 1975Factor Analysis of Dichotomized Variables 1986Recent Developments in the Factor Analysis of Categorical Variables 1979A Study of Algorithms for Covariance Structure Analysis with Specific Comparisons using Factor Analysis 1987Maximum Likelihood Estimation of Multivariate Polyserial and Polychoric Correlation Coefficients 1990Full maximum likelihood analysis of structural equation models with polytomous variables

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