A Bayesian Analysis for the Homogeneity Testing Problem Using ϵ–Contaminated Priors

DOI10.1080/03610920903520547zbMath1215.62028OpenAlexW1991082310MaRDI QIDQ3007850

Beatriz González-Pérez, Miguel Angel Gómez-Villegas

Publication date: 17 June 2011

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

Full work available at URL: https://doi.org/10.1080/03610920903520547

Mathematics Subject Classification ID

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

Related Items (2)

Constrained Bayesian Rules for Testing Statistical Hypotheses ⋮ Constrained Bayesian Method for Testing Multiple Hypotheses in Sequential Experiments

Cites Work

• Lower bounds on Bayes factors for multinomial distributions, with application to chi-squared tests of fit
• Ranges of posterior measures for priors with unimodal contaminations
• \(\varepsilon\)-contaminated priors in contingency tables
• Statistical decision theory and Bayesian analysis. 2nd ed
• Robust Bayes and empirical Bayes analysis with \(\epsilon\)-contaminated priors
• 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
• 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
• A STATISTICAL PARADOX
• A Condition to Obtain the Same Decision in the Homogeneity Testing Problem from the Frequentist and Bayesian Point of View
• 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
• Simultaneous Bayesian-frequentist sequential testing of nested hypotheses
• A SUITABLE BAYESIAN APPROACH IN TESTING POINT NULL HYPOTHESIS: SOME EXAMPLES REVISITED
• Reconciling Classical and Prior PredictiveP-Values in the Two-Sided Location Parameter Testing Problem
• Calibration ofρValues for Testing Precise Null Hypotheses
• Bayesian Analysis of Contingency Tables

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