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arXiv · 2310.11313

Closed-form approximations of the two-sample Pearson Bayes factor

Thomas J. Faulkenberry
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Abstract

In this paper, I present three closed-form approximations of the two-sample Pearson Bayes factor, a recently developed index of evidential value for data in two-group designs. The techniques rely on some classical asymptotic results about Gamma functions. These approximations permit simple closed-form calculation of the Pearson Bayes factor in cases where only minimal summary statistics are available (i.e., the t-score and degrees of freedom). Moreover, these approximations vastly outperform the classic BIC method for approximating Bayes factors from experimental designs.

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Thomas J. Faulkenberry. 2023-10-17. Closed-form approximations of the two-sample Pearson Bayes factor. https://arxiv.org/abs/2310.11313

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