2017
DOI: 10.1002/wics.1420
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Bayesian multiple comparisons and model selection

Abstract: The testing of multiple hypotheses is an important consideration in many statistical analyses. A theme for multiple comparisons problems under a frequentist paradigm is the need for an adjustment to control the overall error probability for the false detection of null effects. Our review will focus on Bayesian approaches to multiple comparisons problems. Under a Bayesian paradigm, multiplicity adjustments arise from a concern that many of the effects to be tested are null. We will discuss how Bayesian models p… Show more

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Cited by 16 publications
(15 citation statements)
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“…Nevertheless, it would be valuable for methodological advances to consider the possibility of randomly occurring high exceedance probabilities given a large number of independent model comparisons. A multilevel scheme which adjusts priors over models, rather than the current ubiquitous use of flat priors, may be developed as a satisfactory approach [109,110,111]. As the current method is agnostic to the large number of model comparisons we need to stress that we only report preliminary evidence.…”
Section: Discussionmentioning
confidence: 99%
“…Nevertheless, it would be valuable for methodological advances to consider the possibility of randomly occurring high exceedance probabilities given a large number of independent model comparisons. A multilevel scheme which adjusts priors over models, rather than the current ubiquitous use of flat priors, may be developed as a satisfactory approach [109,110,111]. As the current method is agnostic to the large number of model comparisons we need to stress that we only report preliminary evidence.…”
Section: Discussionmentioning
confidence: 99%
“…We used Bayesian hierarchical regression to model the data. Because ROI-wise effects were partially pooled across ROIs, this essentially removes the need to correct for multiple comparisons induced by investigating multiple ROIs (59).…”
Section: Primary Analysismentioning
confidence: 99%
“…For experiments with more than two conditions, we conducted within-group comparisons with corrections for multiple comparisons using JASP. The concern about multiple comparisons centers on the potential inflation of a type I error of a null effect (Neath, Flores, & Cavanaugh, 2018). To deal with this problem, a widely applied correction by Westfall, Johnson, and Utts (1997) calibrated the prior data to regain moderate or high null effects, providing a relatively conservative adjusted posterior probability similar to Bonferroni correction.…”
Section: Bayesian Statistical Analysismentioning
confidence: 99%