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Bain: a program for Bayesian testing of order constrained hypotheses in structural equation models |
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| Authors: | Xin Gu Herbert Hoijtink Joris Mulder Yves Rosseel |
| Affiliation: | 1. Department of Educational Psychology, East China Normal University, Shanghai, China;2. Department of Methodology and Statistics, Utrecht University, Utrecht, The Netherlands;3. CITO Institute for Educational Measurement, Arnhem, The Netherlands;4. Department of Methodology and Statistics, Tilburg University, Tilburg, The Netherlands;5. Department of Data Analysis, Ghent University, Ghent, Belgium |
| Abstract: | This paper presents a new statistical method and accompanying software for the evaluation of order constrained hypotheses in structural equation models (SEM). The method is based on a large sample approximation of the Bayes factor using a prior with a data-based correlational structure. An efficient algorithm is written into an R package to ensure fast computation. The package, referred to as Bain, is easy to use for applied researchers. Two classical examples from the SEM literature are used to illustrate the methodology and software. |
| Keywords: | Approximate Bayesian procedure Bayes factors order constrained hypothesis structural equation model |