The software package Bain can be used for the evaluation of informative hypotheses with respect to the parameters of a wide range of statistical models. For pairs of hypotheses the support in the data is quantified using the approximate adjusted fractional Bayes factor (BF). Currently, the data have to come from one population or have to consist of samples of equal size obtained from multiple populations. If samples of unequal size are obtained from multiple populations, the BF can be shown to be inconsistent. This paper examines how the approach implemented in Bain can be generalized such that multiple‐population data can properly be processed. The resulting multiple‐population approximate adjusted fractional Bayes factor is implemented in the R package Bain.

中文翻译：

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贝叶斯评估多个人口的信息假设。

贝恩软件包可用于评估各种统计模型参数的信息假设。对于成对的假设，使用近似调整后的分数贝叶斯因子（BF）来量化数据中的支持。当前，数据必须来自一个总体，或者必须包含从多个总体中获得的大小相等的样本。如果从多个总体中获得大小不等的样本，则表明BF不一致。本文研究了如何对贝恩实现的方法进行概括，以便可以正确处理多人口数据。在R包Bain中实现了由此产生的多种群近似调整分数贝叶斯因子。