Psychonomic Bulletin & Review

, Volume 16, Issue 2, pp 225–237

Bayesian t tests for accepting and rejecting the null hypothesis

  • Jeffrey N. Rouder
  • Paul L. Speckman
  • Dongchu Sun
  • Richard D. Morey
  • Geoffrey Iverson
Theoretical and Review Articles

DOI: 10.3758/PBR.16.2.225

Cite this article as:
Rouder, J.N., Speckman, P.L., Sun, D. et al. Psychonomic Bulletin & Review (2009) 16: 225. doi:10.3758/PBR.16.2.225

Abstract

Progress in science often comes from discovering invariances in relationships among variables; these invariances often correspond to null hypotheses. As is commonly known, it is not possible to state evidence for the null hypothesis in conventional significance testing. Here we highlight a Bayes factor alternative to the conventional t test that will allow researchers to express preference for either the null hypothesis or the alternative. The Bayes factor has a natural and straightforward interpretation, is based on reasonable assumptions, and has better properties than other methods of inference that have been advocated in the psychological literature. To facilitate use of the Bayes factor, we provide an easy-to-use, Web-based program that performs the necessary calculations.

Copyright information

© Psychonomic Society, Inc. 2009

Authors and Affiliations

  • Jeffrey N. Rouder
    • 1
  • Paul L. Speckman
    • 1
  • Dongchu Sun
    • 1
  • Richard D. Morey
    • 1
  • Geoffrey Iverson
    • 2
  1. 1.Department of Psychological SciencesUniversity of MissouriColumbia
  2. 2.University of CaliforniaIrvine

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