Reconciling Bayesian and frequentist evidence in the point null testing problem

DOI10.1007/BF02565110zbMath0936.62030OpenAlexW2004800296MaRDI QIDQ1962703

Luis Sanz, Miguel Angel Gómez-Villegas

Publication date: 18 May 2000

Published in: Test (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02565110

zbMATH Keywords

posterior probabilityp-valuepoint null hypothesis

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Bayesian inference (62F15) Foundations and philosophical topics in statistics (62A01)

Related Items (15)

A SUITABLE BAYESIAN APPROACH IN TESTING POINT NULL HYPOTHESIS: SOME EXAMPLES REVISITED ⋮ Introducing and analyzing the Bayesian power function as an alternative to the power function for a test ⋮ A prior-free framework of coherent inference and its derivation of simple shrinkage estimators ⋮ Asymptotic relationships between posterior probabilities and \(p\)-values using the hazard rate. ⋮ \(\varepsilon\)-contaminated priors in testing point null hypothesis: A procedure to determine the prior probability ⋮ A Bayesian Analysis for the Homogeneity Testing Problem Using ϵ–Contaminated Priors ⋮ \(\varepsilon\)-contaminated priors in contingency tables ⋮ A note on Lindley's paradox ⋮ \(r\times s\) tables from a Bayesian viewpoint ⋮ Reconciling Classical and Prior PredictiveP-Values in the Two-Sided Location Parameter Testing Problem ⋮ Bayesian Model Selection: Measuring the χ²Discrepancy with the Uniform Distribution ⋮ A Bayesian analysis for the multivariate point null testing problem ⋮ A Bayesian Test for the Mean of the Power Exponential Distribution ⋮ Computing Probabilities of Type I Error and Type II Error of Sequential Bayesian Procedures for Testing One-Sided Hypotheses ⋮ The numerical reconcilability of Bayesian measure and p-value in interval hypotheses is not possible in general

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