, Volume 49, Issue 1, pp 115–132

A general structural equation model with dichotomous, ordered categorical, and continuous latent variable indicators

  • Bengt Muthén

DOI: 10.1007/BF02294210

Cite this article as:
Muthén, B. Psychometrika (1984) 49: 115. doi:10.1007/BF02294210


A structural equation model is proposed with a generalized measurement part, allowing for dichotomous and ordered categorical variables (indicators) in addition to continuous ones. A computationally feasible three-stage estimator is proposed for any combination of observed variable types. This approach provides large-sample chi-square tests of fit and standard errors of estimates for situations not previously covered. Two multiple-indicator modeling examples are given. One is a simultaneous analysis of two groups with a structural equation model underlying skewed Likert variables. The second is a longitudinal model with a structural model for multivariate probit regressions.

Key words

polychoric correlations probit regressions generalized least-squares weight matrix 

Copyright information

© The Psychometric Society 1984

Authors and Affiliations

  • Bengt Muthén
    • 1
  1. 1.Graduate School of EducationUniversity of CaliforniaLos Angeles

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