Next Article in Journal
A Revision of Clausius Work on the Second Law. 1. On the Lack of Inner Consistency of Clausius Analysis Leading to the Law of Increasing Entropy
Previous Article in Journal
A Bayesian Reflection on Surfaces
Entropy 1999, 1(4), 99-110; doi:10.3390/e1040099
Article

Evidence and Credibility: Full Bayesian Significance Test for Precise Hypotheses

*  and
Received: 9 February 1999 / Accepted: 9 April 1999 / Published: 25 October 1999
Download PDF [81 KB, uploaded 24 February 2015]

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.
Keywords: Bayes factor; numerical integration; global optimization; p-value; posterior density Bayes factor; numerical integration; global optimization; p-value; posterior density
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Share & Cite This Article

Further Mendeley | CiteULike
Export to BibTeX |
EndNote
MDPI and ACS Style

De Bragança Pereira, C.A.; Stern, J.M. Evidence and Credibility: Full Bayesian Significance Test for Precise Hypotheses. Entropy 1999, 1, 99-110.

View more citation formats

Article Metrics

For more information on the journal, click here

Comments

Cited By

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert