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Bayes Factors Based on p-Values and Sets of Priors With Restricted Strength

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  • Brendan Kline

Abstract

This article focuses on the minimum Bayes factor compatible with a p-value, considering a set of priors with restricted strength. The resulting minimum Bayes factor depends on both the strength of the set of priors and the sample size. The results can be used to interpret the evidence for/against the hypothesis provided by a p-value in a way that accounts for the strength of the priors and the sample size. In particular, the results suggest further lowering the p-value cutoff for “statistical significance.”

Suggested Citation

  • Brendan Kline, 2022. "Bayes Factors Based on p-Values and Sets of Priors With Restricted Strength," The American Statistician, Taylor & Francis Journals, vol. 76(3), pages 203-213, July.
    • Handle: RePEc:taf:amstat:v:76:y:2022:i:3:p:203-213
    DOI: 10.1080/00031305.2021.1877815
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    Cited by:

    1. Kline, Brendan, 2024. "Classical p-values and the Bayesian posterior probability that the hypothesis is approximately true," Journal of Econometrics, Elsevier, vol. 240(1).

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