The e-value and the Full Bayesian Significance Test: Logical Properties and Philosophical Consequences

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.

Dynamic Oppositional Symmetries for Color, Jungian and Kantian Categories

“…Moreover these methods have excellent operational characteristics, being usually easier to implement, statistically more efficient, and exhibiting better computational performance than traditional alternatives. For technical details, many application examples, mathematical and logical characterizations, and discussion of their philosophical and epistemological consequences, see [21], [41,42], [49], [66], [67], [98,99], [108], [133][134][135], [155], [160][161][162][163][164][165][166][167][168][169][170][171][172][173][174][175].…”