Bayesian Evaluation of Inequality-Constrained Hypotheses in SEM Models Using Mplus

Rens van de Schoot, Herbert Hoijtink, Michael N. Hallquist, Paul A. Boelen

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

Researchers in the behavioral and social sciences often have expectations that can be expressed in the form of inequality constraints among the parameters of a structural equation model resulting in an informative hypothesis. The questions they would like an answer to are "Is the hypothesis Correct" or "Is the hypothesis incorrect?" We demonstrate a Bayesian approach to compare an inequality-constrained hypothesis with its complement in an SEM framework. The method is introduced and its utility is illustrated by means of an example. Furthermore, the influence of the specification of the prior distribution is examined. Finally, it is shown how the approach proposed can be implemented using Mplus.

Original languageEnglish (US)
Pages (from-to)593-609
Number of pages17
JournalStructural Equation Modeling
Volume19
Issue number4
DOIs
StatePublished - Oct 2012

All Science Journal Classification (ASJC) codes

  • Decision Sciences(all)
  • Modeling and Simulation
  • Sociology and Political Science
  • Economics, Econometrics and Finance(all)

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