7. For the point null prior partitioning setting described in Subsection 4.2.2, show that requiring G

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7. For the point null prior partitioning setting described in Subsection 4.2.2, show that requiring G ∈ Hc as given in (4.12) is equivalent to requiring BF ≤

 p 1−p

  1−π

π



, where BF is the Bayes factor in favor of the null hypothesis.

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Bayesian Methods For Data Analysis

ISBN: 9781584886976

3rd Edition

Authors: Bradley P. Carlin, Thomas A. Louis

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