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

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:
CreatorsEmailORCID
Stern, Julio Michaeljstern@ime.usp.br0000-0003-2720-3871
Pereira, Carlos Alberto de Bragancacpereira@ime.usp.br0000-0001-6315-7484
Lauretto, Marcelo de Souzamarcelolaureto@usp.br0000-0001-5507-2368
Esteves, Luis Gustavolesteves@ime.usp.br
Izbicki, Rafaelrizbicki@ufscar.br0000-0003-0379-9690
Stern, Rafael Bassirbstern@gmail.com0000-0002-4323-4515
Diniz, Marcio Alvesmarcio.alves.diniz@gmail.com0000-0002-8239-4263
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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