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A Default Bayesian Hypothesis Test for ANOVA Designs

Author

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  • Ruud Wetzels
  • Raoul P. P. P. Grasman
  • Eric-Jan Wagenmakers

Abstract

This article presents a Bayesian hypothesis test for analysis of variance (ANOVA) designs. The test is an application of standard Bayesian methods for variable selection in regression models. We illustrate the effect of various g -priors on the ANOVA hypothesis test. The Bayesian test for ANOVA designs is useful for empirical researchers and for students; both groups will get a more acute appreciation of Bayesian inference when they can apply it to practical statistical problems such as ANOVA. We illustrate the use of the test with two examples, and we provide R code that makes the test easy to use.

Suggested Citation

  • Ruud Wetzels & Raoul P. P. P. Grasman & Eric-Jan Wagenmakers, 2012. "A Default Bayesian Hypothesis Test for ANOVA Designs," The American Statistician, Taylor & Francis Journals, vol. 66(2), pages 104-111, May.
    • Handle: RePEc:taf:amstat:v:66:y:2012:i:2:p:104-111
    DOI: 10.1080/00031305.2012.695956
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    Cited by:

    1. Anand Krishna & Sebastian M Peter, 2018. "Questionable research practices in student final theses – Prevalence, attitudes, and the role of the supervisor’s perceived attitudes," PLOS ONE, Public Library of Science, vol. 13(8), pages 1-24, August.
    2. Prati, Gabriele, 2018. "Gender equality and women's participation in transport cycling," Journal of Transport Geography, Elsevier, vol. 66(C), pages 369-375.
    3. Todd Larson Landes & Yoshihisa Kashima & Piers D L Howe, 2016. "Investigating the Effect of Gaze Cues and Emotional Expressions on the Affective Evaluations of Unfamiliar Faces," PLOS ONE, Public Library of Science, vol. 11(9), pages 1-24, September.
    4. Yan chao Shi & Un-Kon Lee, 2021. "The Impact of Restaurant Recommendation Information and Recommendation Agent in the Tourism Website on the Satisfaction, Continuous Usage, and Destination Visit Intention," SAGE Open, , vol. 11(4), pages 21582440211, November.
    5. Hannah M Darlow & Alexandra S Dylman & Ana I Gheorghiu & William J Matthews, 2013. "Do Changes in the Pace of Events Affect One-Off Judgments of Duration?," PLOS ONE, Public Library of Science, vol. 8(3), pages 1-8, March.
    6. Min Wang & Guangying Liu, 2016. "A Simple Two-Sample Bayesian t -Test for Hypothesis Testing," The American Statistician, Taylor & Francis Journals, vol. 70(2), pages 195-201, May.
    7. Scott D. Goddard & Valen E. Johnson, 2016. "Restricted most powerful Bayesian tests for linear models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 43(4), pages 1162-1177, December.
    8. Rania Wehbe & Isam Shahrour, 2021. "Assessment and Improvement of Anti-COVID-19 Measures in Higher Education Establishments," Sustainability, MDPI, vol. 13(11), pages 1-21, May.

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