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Activity Number: 432
Type: Invited
Date/Time: Wednesday, August 6, 2014 : 8:30 AM to 10:20 AM
Sponsor: Section on Bayesian Statistical Science
Abstract #310953 View Presentation
Title: Implications of Uniformly Most Powerful Bayesian Tests for the Reproducibility of Scientific Research
Author(s): Valen Johnson*+ and Scott D. Goddard
Companies: Texas A&M and Texas A&M
Keywords: Bayes factor ; objective Bayes ; uniformly most powerful test
Abstract:

Connections between uniformly most powerful Bayesian tests and classical uniformly most powerful tests are used to equate the rejection regions of these two types of tests in order obtain an approximate equivalence between Bayes factors and p-values. The implications of this equivalence for the reproducibility of scientific research are examined. Approximately uniformly most powerful Bayesian tests are described for t tests, and the power of these tests are compared to ideal Bayes factors (defined by determining the best test alternative for each true value of the parameter), as well as to Bayes factors obtained using the true parameter value as the alternative. Interpretations and asymptotic properties of these Bayes factors are also discussed.


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