10. Semiparametric Structural Equation Models with Continuous Variables

  1. Xin-Yuan Song and
  2. Sik-Yum Lee

Published Online: 18 JUL 2012

DOI: 10.1002/9781118358887.ch10

Basic and Advanced Bayesian Structural Equation Modeling: With Applications in the Medical and Behavioral Sciences

Basic and Advanced Bayesian Structural Equation Modeling: With Applications in the Medical and Behavioral Sciences

How to Cite

Song, X.-Y. and Lee, S.-Y. (2012) Semiparametric Structural Equation Models with Continuous Variables, in Basic and Advanced Bayesian Structural Equation Modeling: With Applications in the Medical and Behavioral Sciences, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9781118358887.ch10

Author Information

  1. Department of Statistics, The Chinese University of Hong Kong

Publication History

  1. Published Online: 18 JUL 2012
  2. Published Print: 24 AUG 2012

Book Series:

  1. Wiley Series in Probability and Statistics

Book Series Editors:

  1. Walter A. Shewhart and
  2. Samuel S. Wilks

ISBN Information

Print ISBN: 9780470669525

Online ISBN: 9781118358887

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Keywords:

  • Bayesian methods;
  • Dirichlet process;
  • Gibbs sampler;
  • linear SEM;
  • semiparametric approach;
  • structural equation models (SEMs);
  • WinBUGS

Summary

This chapter discusses Bayesian semiparametric approach to analyze SEMs. It presents the basic Bayesian semiparametric approach in the context of a linear SEM with semiparametric modeling for the explanatory latent variables in the model. The chapter describes Bayesian methods based on the stick-breaking prior and the blocked Gibbs sampler for fitting such a semiparametric SEM in which the explanatory latent variables are modeled with a truncated Dirichlet process, whilst the distributions of residual errors are assumed to be normal. It provides the results obtained from an analysis of the kidney disease data set. The chapter presents results obtained from simulation studies related to estimation and model comparison, as well as an application of WinBUGS to model comparison.

Controlled Vocabulary Terms

Dirichlet process; Gibbs sampling; hierarchical dirichlet process; semiparametric regression; WinBUGS