Introducing and analyzing the Bayesian power function as an alternative to the power function for a test

DOI10.1007/S13398-015-0252-4zbMath1348.62089OpenAlexW1771622864MaRDI QIDQ326719

Julián de la Horra

Publication date: 12 October 2016

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-015-0252-4

zbMATH Keywords

consistencyBayesian hypothesis testingpower function of a test

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Bayesian inference (62F15)

Cites Work

• Bayesianly justifiable and relevant frequency calculations for the applied statistician
• Consistency of objective Bayes factors as the model dimension grows
• Consistency of Bayesian procedures for variable selection
• Posterior predictive \(p\)-values
• Reconciling Bayesian and frequentist evidence in the point null testing problem
• \(\varepsilon\)-contaminated priors in testing point null hypothesis: A procedure to determine the prior probability
• Sampling and Bayes' Inference in Scientific Modelling and Robustness
• Bayesian Robustness of the Posterior Predictivep-Value
• Optimality of the posterior predictivep-value based on the posterior. Odds
• A SUITABLE BAYESIAN APPROACH IN TESTING POINT NULL HYPOTHESIS: SOME EXAMPLES REVISITED
• P Values for Composite Null Models
• Bayes Factors
• Posterior predictive \(p\)-values: what they are and what they are not
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