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.
翻译:本文对e值——即给定观测X下假设H的认知价值ev(H|X)——进行了概念性综述。这一统计显著性度量旨在通过完全贝叶斯显著性检验(FBST),实现对假设(包括尖锐或精确假设)的逻辑一致且连贯的检验。分析性论证通过该检验的逻辑或构成性性质,对其进行了完整刻画,揭示了数理统计结果与该理论基础逻辑需求之间的互补关系。