\(\varepsilon\)-contaminated priors in contingency tables

DOI10.1007/s11749-006-0028-4zbMath1148.62045OpenAlexW2023990251MaRDI QIDQ946217

Beatriz González-Pérez, Miguel Angel Gómez-Villegas

Publication date: 22 September 2008

Published in: Test (Search for Journal in Brave)

Full work available at URL: https://eprints.ucm.es/id/eprint/11168/1/2008epsTEST.pdf

zbMATH Keywords

p-valuescontingency tablestest statisticcritical regionreconciliationposterior probabilities\(\varepsilon\)-contaminated priors

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Parametric hypothesis testing (62F03) Bayesian inference (62F15) Contingency tables (62H17)

Related Items

A Bayesian Analysis for the Homogeneity Testing Problem Using ϵ–Contaminated Priors ⋮ \(r\times s\) tables from a Bayesian viewpoint

Cites Work

• Ranges of posterior measures for priors with unimodal contaminations
• Bayesianly justifiable and relevant frequency calculations for the applied statistician
• Statistical decision theory and Bayesian analysis. 2nd ed
• Robust Bayes and empirical Bayes analysis with \(\epsilon\)-contaminated priors
• Comparison of the \(p\)-value and posterior probability
• An overview of robust Bayesian analysis. (With discussion)
• Asymptotic relationships between posterior probabilities and \(p\)-values using the hazard rate.
• 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
• A Bayesian analysis for the multivariate point null testing problem
• Reconciling Bayesian and Frequentist Evidence in the One-Sided Testing Problem
• Testing a Point Null Hypothesis: The Irreconcilability of P Values and Evidence
• Range of posterior measures for priors with arbitrary contaminations
• Bayes factors for nonlinear hypotheses and likelihood distributions
• A SUITABLE BAYESIAN APPROACH IN TESTING POINT NULL HYPOTHESIS: SOME EXAMPLES REVISITED
• The Weighted Likelihood Ratio, Sharp Hypotheses about Chances, the Order of a Markov Chain
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