A SUITABLE BAYESIAN APPROACH IN TESTING POINT NULL HYPOTHESIS: SOME EXAMPLES REVISITED

DOI10.1081/STA-120002646zbMath0991.62016OpenAlexW2045701724MaRDI QIDQ4540715

Luis Sanz, Miguel Angel Gómez-Villegas, Paloma Maín

Publication date: 28 July 2002

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/sta-120002646

zbMATH Keywords

p-valuesprior distributionposterior probability

Mathematics Subject Classification ID

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

Related Items (16)

Introducing and analyzing the Bayesian power function as an alternative to the power function for a test ⋮ Asymptotic relationships between posterior probabilities and \(p\)-values using the hazard rate. ⋮ Bayesian Analysis of Contingency Tables ⋮ A Bayesian Analysis for the Homogeneity Testing Problem Using ϵ–Contaminated Priors ⋮ \(\varepsilon\)-contaminated priors in contingency tables ⋮ The multivariate point null testing problem: a Bayesian discussion ⋮ A note on Lindley's paradox ⋮ On the Use of Bayes Factor in Frequentist Testing of a Precise Hypothesis ⋮ \(r\times s\) tables from a Bayesian viewpoint ⋮ Reconciling Classical and Prior PredictiveP-Values in the Two-Sided Location Parameter Testing Problem ⋮ A new Bayesian procedure for testing point null hypotheses ⋮ Irreconcilability of P-value and Bayesian measure in two-sided hypothesis: Pareto distribution with the presence of nuisance parameter ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Bayesianly justifiable and relevant frequency calculations for the applied statistician
• Statistical decision theory and Bayesian analysis. 2nd ed
• Comparison of the \(p\)-value and posterior probability
• Testing precise hypotheses. With comments and a rejoinder by the authors
• Unified frequentist and Bayesian testing of a precise hypothesis. With comments by Dennis V. Lindley, Thomas A. Louis and David Hinkley and a rejoinder by the authors
• 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
• Bayes factor in testing precise hypotheses
• Doing What Comes Naturally: Interpreting a Tail Area as a Posterior Probability or as a Likelihood Ratio
• A STATISTICAL PARADOX
• Reconciling Bayesian and Frequentist Evidence in the One-Sided Testing Problem
• Testing a Point Null Hypothesis: The Irreconcilability of P Values and Evidence
• Is the Tail Area Useful as an Approximate Bayes Factor?
• Simultaneous Bayesian-frequentist sequential testing of nested hypotheses

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