12. Structural Equation Models with Nonparametric Structural Equations

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

Published Online: 18 JUL 2012

DOI: 10.1002/9781118358887.ch12

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) Structural Equation Models with Nonparametric Structural Equations, 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.ch12

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:

  • SEM with nonparametric structural equations;
  • SEM applicability extended, using nonparametric SEM;
  • structural equation via latent variable unspecified smooth functions;
  • Bayesian P-splines and MCMC algorithm, in smooth functions;
  • nonparametric SEMs with Bayesian P-splines;
  • latent variable nonparametric modeling, a major challenge;
  • nonparametric SEM with parametric SEM performance comparison;
  • methodology, for osteoporosis prevention and control;
  • mixed-mode data, and SEM development;
  • path diagram, NLSY data set

Summary

This chapter contains sections titled:

  • Introduction

  • Nonparametric SEMs with Bayesian P-splines

  • Generalized nonparametric structural equation models

  • Discussion

  • Appendix 12.1: Conditional distributions and the MH algorithm: Nonparametric SEMs

  • Appendix 12.2: Conditional distributions in generalized nonparametric SEMs

  • References