Closed-form approximations of the two-sample Pearson Bayes factor
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911370235084800 |
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| author | Faulkenberry, Thomas J. |
| author_facet | Faulkenberry, Thomas J. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2310_11313 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Closed-form approximations of the two-sample Pearson Bayes factor Faulkenberry, Thomas J. Computation 62F15 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. |
| title | Closed-form approximations of the two-sample Pearson Bayes factor |
| topic | Computation 62F15 |
| url | https://arxiv.org/abs/2310.11313 |