Van de Schoot, R., Hoijtink, H., Hallquist, M. N., & Boelen, P. A. (in press).
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Bayesian Evaluation of inequality-constrained Hypotheses in
SEM Models using Mplus.
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Structural Equation Modeling.

**Abstract**

Researchers in the behavioural and social sciences often have expectations that can be expressed in the form of inequality constraints among the param- eters of a structural equation model resulting in an informative hypothesis. The question they would like an answer to is \Is the Hypothesis Correct" or \Is the hypothesis incorrect?". We demonstrate a Bayesian approach to com- pare 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 inuence of the speci_cation of the prior distribution is examined. Finally, it is shown how the approach proposed can be implemented using Mplus.