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Bayesian point null hypothesis testing via the posterior likelihood ratio

Lookup NU author(s): Emeritus Professor Murray Aitkin, Professor Richard Boys, Dr Thomas Chadwick

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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.


Publication metadata

Author(s): Aitkin M, Boys RJ, Chadwick TJ

Publication type: Article

Journal: Statistics and Computing

Year: 2005

Volume: 15

Issue: 3

Pages: 217-230

ISSN (print): 0960-3174

ISSN (electronic): 1573-1375

Publisher: Springer

URL: http://dx.doi.org/10.1007/s11222-005-1310-0

DOI: 10.1007/s11222-005-1310-0


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