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• W3131363418 abstract "Abstract A perennial objection against Bayes factor point-null hypothesis tests is that the point-null hypothesis is known to be false from the outset. We examine the consequences of approximating the sharp point-null hypothesis by a hazy ‘peri-null’ hypothesis instantiated as a narrow prior distribution centered on the point of interest. The peri-null Bayes factor then equals the point-null Bayes factor multiplied by a correction term which is itself a Bayes factor. For moderate sample sizes, the correction term is relatively inconsequential; however, for large sample sizes, the correction term becomes influential and causes the peri-null Bayes factor to be inconsistent and approach a limit that depends on the ratio of prior ordinates evaluated at the maximum likelihood estimate. We characterize the asymptotic behavior of the peri-null Bayes factor and briefly discuss suggestions on how to construct peri-null Bayes factor hypothesis tests that are also consistent." @default.
• W3131363418 created "2021-03-01" @default.
• W3131363418 creator A5017160078 @default.
• W3131363418 creator A5063079579 @default.
• W3131363418 date "2022-06-23" @default.
• W3131363418 modified "2023-10-16" @default.
• W3131363418 title "Bayes factors for peri-null hypotheses" @default.
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• W3131363418 doi "https://doi.org/10.1007/s11749-022-00819-w" @default.
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