Abstract

This paper 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.”

中文翻译：

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基于p值和强度受限的先验集合的贝叶斯因子

摘要

本文着眼于与p值兼容的最小贝叶斯因子，考虑了一组强度受限的先验条件。得出的最小贝叶斯因子取决于先验集的强度和样本大小。结果可用于解释p值提供的假设的证据/反对p值提供的假设的证据，以解释先验强度和样本大小的方式。特别是，这些结果表明，进一步降低了“统计意义”的p值截止值。