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A measure of evidence based on the likelihood-ratio statistics

Author

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  • Alexandre Galvão Patriota

    (Universidade de São Paulo)

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.

Suggested Citation

  • Alexandre Galvão Patriota, 2022. "A measure of evidence based on the likelihood-ratio statistics," Statistical Papers, Springer, vol. 63(6), pages 1931-1951, December.
    • Handle: RePEc:spr:stpapr:v:63:y:2022:i:6:d:10.1007_s00362-022-01301-3
    DOI: 10.1007/s00362-022-01301-3
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