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A default Bayesian hypothesis test for mediation.

Michèle B Nuijten1, Ruud Wetzels, Dora Matzke

  • 1Tilburg University, Tilburg, The Netherlands.

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Summary
This summary is machine-generated.

This study introduces a default Bayesian hypothesis test for mediation analysis, offering a Bayesian alternative to traditional frequentist methods. This enhances mediation analysis by incorporating Bayesian estimation and hypothesis testing.

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Area of Science:

  • Psychology
  • Statistics
  • Computational Statistics

Background:

  • Mediation analysis quantifies variable relationships, commonly using frequentist methods.
  • A Bayesian approach to mediation analysis was previously outlined by Yuan and MacKinnon (2009).

Purpose of the Study:

  • To complete the Bayesian alternative to frequentist mediation analysis.
  • To specify a default Bayesian hypothesis test for mediation analysis.
  • To extend Bayesian tests for directional alternatives.

Main Methods:

  • Developed a default Bayesian hypothesis test using the Jeffreys-Zellner-Siow (JZS) approach.
  • Extended tests for directional (one-sided) alternatives.
  • Utilized Markov chain Monte Carlo (MCMC) techniques implemented in JAGS.
  • Implemented all Bayesian tests in the R package BayesMed.

Main Results:

  • Successfully developed and implemented a default Bayesian hypothesis test for mediation analysis.
  • Extended Bayesian mediation analysis to include directional hypothesis testing.
  • Provided a comprehensive Bayesian alternative to frequentist mediation analysis.

Conclusions:

  • The developed Bayesian hypothesis test provides a robust alternative to frequentist methods in mediation analysis.
  • The BayesMed R package facilitates the application of these Bayesian methods.
  • This work advances Bayesian statistical modeling in psychological research.