9. Longitudinal Structural Equation Models

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

Published Online: 18 JUL 2012

DOI: 10.1002/9781118358887.ch9

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) Longitudinal Structural Equation Models, 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.ch9

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:

  • longitudinal SEM;
  • multivariate longitudinal models for multivariate data;
  • longitudinal SEM, for multivariate data of different time points;
  • two-level SEM, in multivariate longitudinal data;
  • Bayesian for mixed continuous/categorical variables;
  • observed data with latent variables/missing data augmentation;
  • observations, joint posterior via MCMC as Gibbs sampler/MH algorithm;
  • model comparison via the Lν-measure;
  • longitudinal two-level nonlinear SEM with covariates, for longitudinal data

Summary

This chapter contains sections titled:

  • Introduction

  • A two-level SEM for analyzing multivariate longitudinal data

  • Bayesian analysis of the two-level longitudinal SEM

  • Simulation study

  • Application: Longitudinal study of cocaine use

  • Discussion

  • Appendix 9.1: Full conditional distributions for implementing the Gibbs sampler

  • Appendix 9.2: Approximation of the -measure in equation (9.9) via MCMC samples

  • References