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Teacher’s Corner

Evaluating Informative Hypotheses Using the Bayes Factor in Structural Equation Models

Bibliographic Data

ID21641968
AuthorsCaspar Van Lissa (0000-0002-0808-5024, Utrecht University, corresponding author), Xin Gu (0000-0002-7724-9379, Utrecht University), Joris Mulder (0000-0003-4863-0936, Utrecht University), Yves Rosseel (0000-0002-4129-4477, Utrecht University), Camiel van Zundert (0000-0001-6287-8474, Utrecht University), Herbert Hoijtink (0000-0001-8509-1973, Utrecht University)
Year2021
Volume28
Issue2
Pages292-301
Publication date2021-03-04
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueStructural Equation Modeling: A Multidisciplinary Journal (JOURNAL)
Journal identifiersISSN: 1070-5511 • E-ISSN: 1532-8007
PublisherInforma UK Limited (PUBLISHER • GB)
DOI10.1080/10705511.2020.1745644
OpenAlexW3030632765
LanguageEN
Citations received7
References cited29

This Teacher’s Corner paper introduces Bayesian evaluation of informative hypotheses for structural equation models, using the free open-source R packages bain, for Bayesian informative hypothesis testing, and lavaan, a widely used SEM package. The introduction provides a brief non-technical explanation of informative hypotheses, the statistical underpinnings of Bayesian hypothesis evaluation, and the bain algorithm. Three tutorial examples demonstrate informative hypothesis evaluation in the context of common types of structural equation models: 1) confirmatory factor analysis, 2) latent variable regression, and 3) multiple group analysis. We discuss hypothesis formulation, the interpretation of Bayes factors and posterior model probabilities, and sensitivity analysis

Bayes factor · Bayes' theorem · Bayesian inference · Bayesian probability · Bayesian statistics · Confirmatory factor analysis · Econometrics · Latent variable · Machine learning · Statistical hypothesis testing · Statistics · Structural equation modeling · Advanced Statistical Methods and Models · Advanced Statistical Modeling Techniques · Advanced Text Analysis Techniques · Computer Science · Mathematics · Artificial Intelligence

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Unique citing works7
Citations per year1,75
Citation span2022 - 2026 (5)
Citation velocitycurrent
Highly citedNo
Citation typesNeutral: 7

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