Stern, Julio Michael and Pereira, Carlos Alberto de Braganca and Lauretto, Marcelo de Souza and Esteves, Luis Gustavo and Izbicki, Rafael and Stern, Rafael Bassi and Diniz, Marcio Alves (2023) The e-value and the Full Bayesian Significance Test: Logical Properties and Philosophical Consequences. [Preprint]

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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.

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Item Type:	Preprint
Creators:	Creators Email ORCID Stern, Julio Michael jstern@ime.usp.br 0000-0003-2720-3871 Pereira, Carlos Alberto de Braganca cpereira@ime.usp.br 0000-0001-6315-7484 Lauretto, Marcelo de Souza marcelolaureto@usp.br 0000-0001-5507-2368 Esteves, Luis Gustavo lesteves@ime.usp.br Izbicki, Rafael rizbicki@ufscar.br 0000-0003-0379-9690 Stern, Rafael Bassi rbstern@gmail.com 0000-0002-4323-4515 Diniz, Marcio Alves marcio.alves.diniz@gmail.com 0000-0002-8239-4263
Keywords:	Bayesian statistics; truth values; significance tests; Logical inference; Statistical inference; Scientific hypotheses; Precise hypotheses.
Subjects:	General Issues > Scientific Metaphysics General Issues > Confirmation/Induction General Issues > Decision Theory General Issues > Evidence General Issues > Explanation General Issues > Laws of Nature Specific Sciences > Probability/Statistics General Issues > Structure of Theories
Depositing User:	Prof. Julio Michael Stern
Date Deposited:	27 Mar 2023 17:16
Last Modified:	27 Mar 2023 17:16
Item ID:	21939
Subjects:	General Issues > Scientific Metaphysics General Issues > Confirmation/Induction General Issues > Decision Theory General Issues > Evidence General Issues > Explanation General Issues > Laws of Nature Specific Sciences > Probability/Statistics General Issues > Structure of Theories
Date:	2023
URI:	https://philsci-archive.pitt.edu/id/eprint/21939

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• The e-value and the Full Bayesian Significance Test: Logical Properties and Philosophical Consequences. (deposited 27 Mar 2023 17:16) [Currently Displayed]
  • The e-value and the Full Bayesian Significance Test: Logical Properties and Philosophical Consequences. (deposited 05 May 2024 08:36)

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