A measure of evidence based on the likelihood-ratio statistics

Alexandre G. Patriota

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arXiv · 1510.02950

A measure of evidence based on the likelihood-ratio statistics

Alexandre G. Patriota

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Abstract

In this paper, we show that the likelihood-ratio measure (a) is invariant with respect to dominating sigma-finite measures, (b) satisfies logical consequences which are not satisfied by standard $p$-values, (c) respects frequentist properties, i.e., the type I error can be properly controlled, and, under mild regularity conditions, (d) can be used as an upper bound for posterior probabilities. We also discuss a generic application to test whether the genotype frequencies of a given population are under the Hardy-Weinberg equilibrium, under inbreeding restrictions or under outbreeding restrictions.

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Alexandre G. Patriota. 2021-04-05. A measure of evidence based on the likelihood-ratio statistics. https://arxiv.org/abs/1510.02950

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