A general structural equation model with dichotomous, ordered categorical, and continuous latent variable indicators
- Bengt Muthén
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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.
- Gruveaus, G. T., & Jöreskog, K. G. (1970). A computer program for minimizing a function of several variables. Research Bulletin 70-14. Princeton, N.J.: Educational Testing Service.
- Jöreskog, K. G., & Sörbom, D. (1981). LISREL V. Analysis of linear structural relationships by maximum likelihood and least squares methods. Research Report 81-8, Department of Statistics, University of Uppsala.
- Browne, M. W. (1974). Generalized least squares estimates in the analysis of covariance structures.South African Statistical Journal, 8, 1–24. (Reprinted in D. J. Aigner, & A. S. Goldberger (Eds.), (1977),Latent variables in socio-economic models. Amsterdam: North-Holland.)
- Cox, D. R. (1970).The analysis of binary data. London: Methuen.
- Henderson, A. S., Byrne, D. G., & Duncan-Jones, P. (1981).Neurosis and the social environment. Sidney: Academic Press.
- Jöreskog, K. G. (1973). A general method for estimating a linear structural equation system. In A. S. Goldberger and O. D. Duncan (Eds.),Structural equation models in the social sciences. New York: Seminar Press, 85–112.
- Jöreskog, K. G. (1977). Structural equation models in the social sciences: Specification, estimation and testing. In P. R. Krishnaiah (Ed.),Applications of statistics. Amsterdam: North-Holland.
- Muthén, B. (1978). Contributions to factor analysis of dichotomous variables.Psychometrika, 43, 551–560.
- Muthén, B. (1979). A structural probit model with latent variables.Journal of the American Statistical Association, 74, 807–811.
- Muthén, B. (1983). Latent variable structural equation modeling with categorical data.Journal of Econometrics, 22, 43–65.
- Muthén, B., & Christoffersson, A. (1981). Simultaneous factor analysis of dichotomous variables in several groups.Psychometrika, 46, 407–419.
- Olsson, U. (1979). Maximum likelihood estimation of the polychoric correlation coefficient.Psychometrika, 44, 443–460. (a)
- Olsson, U. (1979). On the robustness of factor analysis against crude classification of the observations.Multivariate Behavioral Research, 14, 485–500. (b)
- Olsson, U., Drasgow, F., & Dorans, N. J. (1982). The polyserial correlation coefficient.Psychometrika, 47, 337–347.
- Sörbom, D. (1982). Structural equation models with structured means. In K. G. Jöreskog & H. Wold (Eds.),Systems under indirect observation: Causality, structure, prediction. Amsterdam: North-Holland Publishing Company.
- A general structural equation model with dichotomous, ordered categorical, and continuous latent variable indicators
Volume 49, Issue 1 , pp 115-132
- Cover Date
- Print ISSN
- Online ISSN
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- polychoric correlations
- probit regressions
- generalized least-squares
- weight matrix
- Industry Sectors
- Bengt Muthén (1)
- Author Affiliations
- 1. Graduate School of Education, University of California, Los Angeles, California