The e-value and the Full Bayesian Significance Test: Logical Properties and Philosophical Consequences
@inproceedings{Stern2022TheEA, title={The e-value and the Full Bayesian Significance Test: Logical Properties and Philosophical Consequences}, author={Julio Michael Stern and Carlos Alberto De Bragança Pereira and Marcelo De Souza Lauretto and Lu{\'i}s Gustavo Esteves and Rafael Izbicki and Rafael Bassi Stern and M{\'a}rcio Alves Diniz}, year={2022} }
: 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…
Figures and Tables from this paper
References
SHOWING 1-10 OF 290 REFERENCES
The Rules of Logic Composition for the Bayesian Epistemic e-Values
- PhilosophyLog. J. IGPL
- 2007
The questions addressed concern the important issue of how the truth value of H, and the truth function of the corresponding FBST structure M, relate to the truth values of its elementary constituents, H j , and to thetruth functions of their correspondingFBST structures M j , respectively.
The e-value: a fully Bayesian significance measure for precise statistical hypotheses and its research program
- Computer ScienceSão Paulo Journal of Mathematical Sciences
- 2020
The e -value and the accompanying FBST, the Full Bayesian Significance Test, constitute the core of a research program that was started at IME-USP, is being developed by over 20 researchers worldwide, and has, so far, been referenced by over 200 publications.
Significance Tests, Belief Calculi, and Burden of Proof in Legal and Scientific Discourse
- Economics
- 2002
We review the definition of the Full Bayesian Significance Test (FBST), and summarize its main statistical and epistemological characteristics. We review also the Abstract Belief Calculus (ABC) of…
Evidence and Credibility: Full Bayesian Significance Test for Precise Hypotheses
- MathematicsEntropy
- 1999
A Bayesian measure of evidence for precise hypotheses is presented to give a Bayesian alternative to significance tests or, equivalently, to p-values.
Paraconsistent Probabilities: Consistency, Contradictions and Bayes' Theorem
- PhilosophyEntropy
- 2016
It is shown that LFIs encode very naturally an extension of the notion of probability able to express sophisticated probabilistic reasoning under contradictions employing appropriate notions of conditional probability and paraconsistent updating, via a version of Bayes' theorem for conditionalization.
Paraconsistent Sensitivity Analysis for Bayesian Significance Tests
- Computer ScienceSBIA
- 2004
In this paper, the notion of degree of inconsistency is introduced as a tool to evaluate the sensitivity of the Full Bayesian Significance Test (FBST) value of evidence with respect to changes in the…
RELATIONSHIP BETWEEN BAYESIAN AND FREQUENTIST SIGNIFICANCE INDICES
- Mathematics
- 2012
The goal of this paper is to illustrate how two significance indices—the frequentist p-value and Bayesian e-value— have a straight mathematical relationship. We calculate these indices for standard…
A Bayesian Decision-Theoretic Approach to Logically-Consistent Hypothesis Testing
- Computer ScienceEntropy
- 2015
This work addresses an important issue regarding the performance of simultaneous test procedures: the construction of multiple tests that at the same time are optimal from a statistical perspective…