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A Unified Maximum Likelihood Approach for Analyzing Structural Equation Models With Missing Nonstandard Data

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  • Sik-Yum Lee

    (The Chinese University of Hong Kong, China)

  • Xin-Yuan Song

    (The Chinese University of Hong Kong, China)

Abstract

In this article, the authors present a unified approach for maximum likelihood analysis of structural equation models that involve subtle model formulations and nonstandard data structures. Based on the idea of data augmentation, they describe a generic Monte Carlo expectation-maximization algorithm for estimation. They propose path sampling for computing the observed data likelihood functions that usually involve complicated integrals and show how to apply this method for computing the Bayesian information criterion for model comparison. An application of the proposed unified approach to a two-level nonlinear structural equation model with missing continuous and ordered categorical data is presented. An illustrative example with a real data set is given.

Suggested Citation

  • Sik-Yum Lee & Xin-Yuan Song, 2007. "A Unified Maximum Likelihood Approach for Analyzing Structural Equation Models With Missing Nonstandard Data," Sociological Methods & Research, , vol. 35(3), pages 352-381, February.
    • Handle: RePEc:sae:somere:v:35:y:2007:i:3:p:352-381
    DOI: 10.1177/0049124106292357
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    References listed on IDEAS

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    6. Sik-Yum Lee & Xin-Yuan Song, 2003. "Model comparison of nonlinear structural equation models with fixed covariates," Psychometrika, Springer;The Psychometric Society, vol. 68(1), pages 27-47, March.
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    11. Sik-Yum Lee & Xin-Yuan Song, 2003. "Maximum Likelihood Estimation and Model Comparison for Mixtures of Structural Equation Models with Ignorable Missing Data," Journal of Classification, Springer;The Classification Society, vol. 20(2), pages 221-255, September.
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