Entropy 1999, 1(4), 99-110; doi:10.3390/e1040099
Article

Evidence and Credibility: Full Bayesian Significance Test for Precise Hypotheses

* email and email
Received: 9 February 1999; Accepted: 9 April 1999 / Published: 25 October 1999
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.
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
PDF Full-text Download PDF Full-Text [81 KB, uploaded 16 September 2008 11:01 CEST]

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.

AMA Style

De Bragança Pereira CA, Stern JM. Evidence and Credibility: Full Bayesian Significance Test for Precise Hypotheses. Entropy. 1999; 1(4):99-110.

Chicago/Turabian Style

De Bragança Pereira, Carlos A.; Stern, Julio M. 1999. "Evidence and Credibility: Full Bayesian Significance Test for Precise Hypotheses." Entropy 1, no. 4: 99-110.

Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert