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Evidence and Credibility: Full Bayesian Significance Test for Precise Hypotheses

Authors
  • de bragança pereira, carlos alberto
  • stern, julio michael
Publication Date
Oct 25, 1999
Identifiers
DOI: 10.3390/e1040099
OAI: oai:mdpi.com:/1099-4300/1/4/99/
Source
MDPI
Keywords
Language
English
License
Green
External links

Abstract

A Bayesian measure of evidence for precise hypotheses is presented. The intention is to give a Bayesian alternative to significance tests or, equivalently, to p-values. In fact, a set is defined in the parameter space and the posterior probability, its credibility, is evaluated. This set is the "Highest Posterior Density Region" that is "tangent" to the set that defines the null hypothesis. Our measure of evidence is the complement of the credibility of the "tangent" region.

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