A simulation-intensive approach for checking hierarchical models

DOI10.1007/BF02565116zbMath0935.62082OpenAlexW1975674891MaRDI QIDQ1305255

Pantelis K. Vlachos, Alan E. Gelfand, Tim B. Swartz, Dey, Dipak K.

Publication date: 8 May 2000

Published in: Test (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02565116

zbMATH Keywords

generalized linear mixed modelsdiscrepancy measuresMonte Carlo testssampling-based model fittingstagewise model adequacy

Mathematics Subject Classification ID

Generalized linear models (logistic models) (62J12) Monte Carlo methods (65C05)

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Cites Work

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• Bayesianly justifiable and relevant frequency calculations for the applied statistician
• Statistical decision theory and Bayesian analysis. 2nd ed
• Posterior predictive \(p\)-values
• Empirical Bayes Methods for Combining Likelihoods
• Diagnostic Measures for Model Criticism
• A Bayesian approach to outlier detection and residual analysis
• Sampling and Bayes' Inference in Scientific Modelling and Robustness
• Care and Handling of Univariate Outliers in the General Linear Model to Detect Spuriosity: A Bayesian Approach
• Some Algebra and Geometry for Hierarchical Models, Applied to Diagnostics
• Bayesian Tests and Model Diagnostics in Conditionally Independent Hierarchical Models
• Approximate Inference in Generalized Linear Mixed Models
• Generalized Monte Carlo significance tests
• Identifiability of Finite Mixtures
• Identifiability of Mixtures