Journal article

Bayesian point null hypothesis testing via the posterior likelihood ratio

M Aitkin, RJ Boys, T Chadwick

Statistics and Computing | SPRINGER | Published : 2005

Abstract

This paper gives an exposition of the use of the posterior likelihood ratio for testing point null hypotheses in a fully Bayesian framework. Connections between the frequentist P-value and the posterior distribution of the likelihood ratio are used to interpret and calibrate P-values in a Bayesian context, and examples are given to show the use of simple posterior simulation methods to provide Bayesian tests of common hypotheses. © 2005 Springer Science + Business Media, Inc.

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