The Use of Posterior Predictive P-Values in Testing Goodness-of-Fit

DOI10.1080/03610926.2012.705213zbMath1462.62265OpenAlexW2128641402MaRDI QIDQ2873924

Xuhua Liu, Xingzhong Xu, Dao-Jiang He

Publication date: 28 January 2014

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

Full work available at URL: https://doi.org/10.1080/03610926.2012.705213

zbMATH Keywords

goodness-of-fit testKolmogorov-Smirnov testdiscrepancy variableposterior predictive \(p\)-valueBerk-Jones testJeffreys' piror

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Bayesian inference (62F15)

Cites Work

• Unnamed Item
• Bayesianly justifiable and relevant frequency calculations for the applied statistician
• Posterior predictive \(p\)-values
• Posterior predictive model checking in hierarchical models
• A Modified Kolmogorov–Smirnov Test for Normality
• Goodness-of-fit test statistics that dominate the Kolmogorov statistics
• Asymptotic behaviour of the posterior predictive p-value
• Minimum Kolmogorov–Smirnov test statistic parameter estimates
• Post-Processing Posterior PredictivepValues
• Posterior predictive \(p\)-values: what they are and what they are not

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