The e-value and the Full Bayesian Significance Test: Logical Properties and Philosophical Consequences
Statistics Theory
2024-06-25 v7 Statistics Theory
Abstract
This article gives a conceptual review of the e-value, ev(H|X) -- the epistemic value of hypothesis H given observations X. This statistical significance measure was developed in order to allow logically coherent and consistent tests of hypotheses, including sharp or precise hypotheses, via the Full Bayesian Significance Test (FBST). Arguments of analysis allow a full characterization of this statistical test by its logical or compositional properties, showing a mutual complementarity between results of mathematical statistics and the logical desiderata lying at the foundations of this theory.
Cite
@article{arxiv.2205.08010,
title = {The e-value and the Full Bayesian Significance Test: Logical Properties and Philosophical Consequences},
author = {Julio Michael Stern and Carlos Alberto de Braganca Pereira and Marcelo de Souza Lauretto and Luis Gustavo Esteves and Rafael Izbicki and Rafael Bassi Stern and Marcio Alves Diniz and Wagner de Souza Borges},
journal= {arXiv preprint arXiv:2205.08010},
year = {2024}
}