3. Structural Equations with Latent Variables

  1. Jichuan Wang1 and
  2. Xiaoqian Wang2

Published Online: 14 AUG 2012

DOI: 10.1002/9781118356258.ch3

Structural Equation Modeling: Applications Using Mplus

Structural Equation Modeling: Applications Using Mplus

How to Cite

Wang, J. and Wang, X. (2012) Structural Equations with Latent Variables, in Structural Equation Modeling: Applications Using Mplus, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9781118356258.ch3

Author Information

  1. 1

    Children's National Medical Center, The George Washington University, USA

  2. 2

    Mobley Group Pacific Ltd., P.R. China

Publication History

  1. Published Online: 14 AUG 2012
  2. Published Print: 7 SEP 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: 9781119978299

Online ISBN: 9781118356258



  • structural equations with latent variables;
  • MIMIC model, a special case of SEM;
  • MIMIC model, for multiple indicator multiple cause model;
  • selected Mplus output, extended MIMIC model;
  • extended MIMIC model, testing noninvariances/intercepts of indicators;
  • structural equation model;
  • hypothesized structural relations of latent variables, by equations;
  • testing indirect and total effects in SEM;
  • measurement error correction, in single indicator variables


This chapter contains sections titled:

  • MIMIC model

  • Structural equation model

  • Correcting for measurement errors in single indicator variables

  • Testing interactions involving latent variables

  • Appendix 3.A Influence of measurement errors