Posterior predictive model checking in hierarchical models

DOI10.1016/S0378-3758(02)00303-8zbMath1033.62027MaRDI QIDQ1869092

Hal S. Stern, Sandip Sinharay

Publication date: 9 April 2003

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

zbMATH Keywords

DiscrepancyMarginal modelRandom effects modelPosterior predictive \(p\)-value

Mathematics Subject Classification ID

Bayesian inference (62F15) Applications of statistics to psychology (62P15)

Related Items (20)

Comparative investigation of three Bayesian \(p\) values ⋮ Comparison of Hierarchical Bayesian Models for Overdispersed Count Data using DIC and Bayes' Factors ⋮ Calibration of posterior predictive p-values for model checking ⋮ A Bayesian \(\chi^2\) test for goodness-of-fit ⋮ A Bayesian generalized multiple group IRT model with model-fit assessment tools ⋮ A new robust Bayesian small area estimation via ‐stable model for estimating the proportion of athletic students in California ⋮ Impact of frequentist and Bayesian methods on survey sampling practice: a selective appraisal ⋮ The one-sided posterior predictive \(p\)-value for Fieller's problem ⋮ Posterior Predictive p‐values in Bayesian Hierarchical Models ⋮ Bayesian model checking for multivariate outcome data ⋮ An Investigation of Parameter Recovery in MCMC Estimation for the Additive IRT Model ⋮ Bayesian Method to Detect Outliers for Ordinal Data ⋮ Rejoinder ⋮ Comment: Bayesian checking of the second levels of hierarchical models ⋮ The adaptive calibration of testingp-values ⋮ A comparison of adjusted Bayes Estimators of an ensemble of small area parameters ⋮ Rejoinder for ``Predictive comparison of joint longitudinal-survival modeling: a case study illustrating competing approaches ⋮ Robust linear mixed models for small area estimation ⋮ Bayesian inference for zero-and/or-one augmented beta rectangular regression models ⋮ The Use of Posterior Predictive P-Values in Testing Goodness-of-Fit

Uses Software

• BayesDA

Cites Work

• Bayesianly justifiable and relevant frequency calculations for the applied statistician
• A State-Space Model for National Football League Scores
• Sampling and Bayes' Inference in Scientific Modelling and Robustness
• P Values for Composite Null Models
• Asymptotic Distribution of P Values in Composite Null Models
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