Posterior predictive checks: principles and discussion procedures

DOI10.1007/S001800000038zbMath1037.62012OpenAlexW2066068143MaRDI QIDQ1424595

Johannes Berkhof, Iven van Mechelen

Publication date: 16 March 2004

Published in: Computational Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s001800000038

zbMATH Keywords

simulationsposterior predictive checkpower of testsprior sensitivitydiscrepancy measurefrequency propertiesposterior predictive \(p\)-value

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Parametric hypothesis testing (62F03) Bayesian inference (62F15)

Related Items (4)

Testing log‐linear models with inequality constraints: a comparison of asymptotic, bootstrap, and posterior predictive p‐values ⋮ Testing homogeneity in a random intercept model using asymptotic, posterior predictive and plug‐in p‐values ⋮ Quantile regression for overdispersed count data: a hierarchical method ⋮ Regime switching state-space models applied to psychological processes: handling missing data and making inferences

Cites Work

• Bayesianly justifiable and relevant frequency calculations for the applied statistician
• A multidimensional item response model: Constrained latent class analysis using the Gibbs sampler and posterior predictive checks
• Posterior predictive \(p\)-values
• Testing a Point Null Hypothesis: The Irreconcilability of P Values and Evidence
• Sampling and Bayes' Inference in Scientific Modelling and Robustness
• Diagnostic Checks for Discrete Data Regression Models Using Posterior Predictive Simulations
• Bayes Factors
• On the Distribution of the Likelihood Ratio
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