A measure of evidence based on the likelihood-ratio statistics

نویسندگان

چکیده

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., type I error can be properly controlled, and, under mild regularity conditions, (d) used as an upper bound for posterior probabilities. We also discuss a generic application test whether genotype frequencies of given population Hardy–Weinberg equilibrium, inbreeding restrictions or outbreeding restrictions.

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ژورنال

عنوان ژورنال: Statistical papers

سال: 2022

ISSN: ['2412-110X', '0250-9822']

DOI: https://doi.org/10.1007/s00362-022-01301-3