A default Bayesian hypothesis test for mediation

M.B. Nuijten, R. Wetzels, D. Matzke, E.J. Wagenmakers, C.V. Dolan

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Abstract

In order to quantify the relationship between multiple variables, researchers often carry out a mediation analysis. In such an analysis, a mediator (e.g., knowledge of a healthy diet) transmits the effect from an independent variable (e.g., classroom instruction on a healthy diet) to a dependent variable (e.g., consumption of fruits and vegetables). Almost all mediation analyses in psychology use frequentist estimation and hypothesis-testing techniques. A recent exception is Yuan and MacKinnon (Psychological Methods, 14, 301–322, 2009), who outlined a Bayesian parameter estimation procedure for mediation analysis. Here we complete the Bayesian alternative to frequentist mediation analysis by specifying a default Bayesian hypothesis test based on the Jeffreys–Zellner–Siow approach. We further extend this default Bayesian test by allowing a comparison to directional or one-sided alternatives, using Markov chain Monte Carlo techniques implemented in JAGS. All Bayesian tests are implemented in the R package BayesMed (Nuijten, Wetzels, Matzke, Dolan, & Wagenmakers, 2014).
Original languageEnglish
Pages (from-to)85-97
JournalBehavior Research Methods
Volume47
Issue number1
DOIs
Publication statusPublished - 2015

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Markov Chains
Healthy Diet
Mediation
Hypothesis Test
Diet

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Nuijten, M. B., Wetzels, R., Matzke, D., Wagenmakers, E. J., & Dolan, C. V. (2015). A default Bayesian hypothesis test for mediation. Behavior Research Methods, 47(1), 85-97. https://doi.org/10.3758/s13428-014-0470-2
Nuijten, M.B. ; Wetzels, R. ; Matzke, D. ; Wagenmakers, E.J. ; Dolan, C.V. / A default Bayesian hypothesis test for mediation. In: Behavior Research Methods. 2015 ; Vol. 47, No. 1. pp. 85-97.
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Nuijten, MB, Wetzels, R, Matzke, D, Wagenmakers, EJ & Dolan, CV 2015, 'A default Bayesian hypothesis test for mediation', Behavior Research Methods, vol. 47, no. 1, pp. 85-97. https://doi.org/10.3758/s13428-014-0470-2

A default Bayesian hypothesis test for mediation. / Nuijten, M.B.; Wetzels, R.; Matzke, D.; Wagenmakers, E.J.; Dolan, C.V.

In: Behavior Research Methods, Vol. 47, No. 1, 2015, p. 85-97.

Research output: Contribution to journalArticleScientificpeer-review

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