Invariant P-values for model checking

Michael Evans; Gun Ho Jang

doi:10.1214/09-AOS727

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Home > Journals > Ann. Statist. > Volume 38 > Issue 1 > Article

February 2010 Invariant P-values for model checking

Michael Evans, Gun Ho Jang

Ann. Statist. 38(1): 512-525 (February 2010). DOI: 10.1214/09-AOS727

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Abstract

P-values have been the focus of considerable criticism based on various considerations. Still, the P-value represents one of the most commonly used statistical tools. When assessing the suitability of a single hypothesized distribution, it is not clear that there is a better choice for a measure of surprise. This paper is concerned with the definition of appropriate model-based P-values for model checking.