Sample-size determination for the Bayesian t test and Welch's test using the approximate adjusted fractional Bayes factor

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Abstract

When two independent means μ1 and μ2 are compared, H0 : μ1 = μ2, H1 : μ1≠μ2, and H2 : μ1 > μ2 are the hypotheses of interest. This paper introduces the R package SSDbain, which can be used to determine the sample size needed to evaluate these hypotheses using the approximate adjusted fractional Bayes factor (AAFBF) implemented in the R package bain. Both the Bayesian t test and the Bayesian Welch's test are available in this R package. The sample size required will be calculated such that the probability that the Bayes factor is larger than a threshold value is at least η if either the null or alternative hypothesis is true. Using the R package SSDbain and/or the tables provided in this paper, psychological researchers can easily determine the required sample size for their experiments.

Original languageEnglish
Pages (from-to)139-152
JournalBehavior Research Methods
Volume53
DOIs
Publication statusPublished - 2021

Keywords

  • Bayes factor
  • Bayesian t test
  • Bayesian Welch’s test
  • SSDbain
  • Sample-size determination ·

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