A measure of evidence based on the likelihood-ratio statistics

Author(s)

Patriota, Alexandre Galvao

• Document type: Journal article
• Source: STATISTICAL PAPERS; v. 63, n. 6, p. 21-pg., 2022-03-05.

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. (AU)

• FAPESP's process: 14/25595-0 - Comparisons between the s-value and some classical measures of evidences
• Grantee: Alexandre Galvão Patriota
• Support Opportunities: Scholarships abroad - Research