Posterior predictive \(p\)-values: what they are and what they are not

DOI10.1007/BF02595824zbMath1078.62511MaRDI QIDQ5952295

Julián de la Horra, Maria Teresa Rodríguez-Bernal

Publication date: 27 February 2002

Published in: Test (Search for Journal in Brave)

Full work available at URL: http://www.seio.es/test/Archivos/t101/Ab_t101hor.html

zbMATH Keywords

Classical p-value, discrepancy variable, measure of support, posterior predictive p-value, test statistic

Mathematics Subject Classification ID

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

Related Items (7)

Bayesian assessment of goodness of fit against nonparametric alternatives ⋮ Introducing and analyzing the Bayesian power function as an alternative to the power function for a test ⋮ A note on fiducial model averaging as an alternative to checking Bayesian and frequentist models ⋮ On the correspondence between frequentist and Bayesian tests ⋮ Reconciling Bayesian and Frequentist Evidence in the One-Sided Scale Parameter Testing Problem ⋮ Bayesian Robustness of the Posterior Predictivep-Value ⋮ The Use of Posterior Predictive P-Values in Testing Goodness-of-Fit

Cites Work

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• Bayesianly justifiable and relevant frequency calculations for the applied statistician
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• Posterior predictive \(p\)-values
• Sampling and Bayes' Inference in Scientific Modelling and Robustness
• Asymptotic behaviour of the posterior predictive p-value
• Optimality of the posterior predictivep-value based on the posterior. Odds

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