A Bayesian \(\chi^2\) test for goodness-of-fit

DOI10.1214/009053604000000616zbMath1068.62028arXivmath/0508593OpenAlexW2950314238MaRDI QIDQ2388329

Valen E. Johnson

Publication date: 12 September 2005

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508593

zbMATH Keywords

Bayes factor\(p\)-valueintrinsic Bayes factorPearson's chi-squared statisticdiscrepancy functionsBayesian model assessmentexpected order statisticslip cancer dataposterior-predictive diagnostics

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Bayesian inference (62F15) Bayesian problems; characterization of Bayes procedures (62C10)

Related Items (23)

Open-Set Nearest Shrunken Centroid Classification ⋮ Comparative investigation of three Bayesian \(p\) values ⋮ Goodness-of-fit testing: the thresholding approach ⋮ Goodness-of-Fit Diagnostics for Bayesian Hierarchical Models ⋮ A consistent bayesian bootstrap for chi-squared goodness-of-fit test using a dirichlet prior ⋮ Durbin's random substitution and conditional Monte Carlo ⋮ Goodness of fit for models with intractable likelihood ⋮ Pearson-type goodness-of-fit test with bootstrap maximum likelihood estimation ⋮ Exploiting multiple outcomes in Bayesian principal stratification analysis with application to the evaluation of a job training program ⋮ A Bayesian approach of joint models for clustered zero-inflated count data with skewness and measurement errors ⋮ A Bayesian hierarchical model for inference across related reverse phase protein arrays experiments ⋮ Estimating dementia-free life expectancy for Parkinson's patients using Bayesian inference and microsimulation ⋮ Zero-Inflated Spatial Models: Application and Interpretation ⋮ A robust Bayesian approach to null intercept measurement error model with application to dental data ⋮ A Bayesian Chi-Squared Goodness-of-Fit Test for Censored Data Models ⋮ Bayesian local influence for spatial autoregressive models with heteroscedasticity ⋮ Dynamic Model for Multivariate Markers of Fecundability ⋮ Analysis of Pulsatile Hormone Concentration Profiles with Nonconstant Basal Concentration: A Bayesian Approach ⋮ Bayesian goodness-of-fit test for censored data ⋮ Bayesian hierarchical modelling of continuous non‐negative longitudinal data with a spike at zero: An application to a study of birds visiting gardens in winter ⋮ Bayesian IRT guessing models for partial guessing behaviors ⋮ Bayesian multivariate Poisson abundance models for T-cell receptor data ⋮ TreeClone: reconstruction of tumor subclone phylogeny based on mutation pairs using next generation sequencing data

Uses Software

• WinBUGS
• Gibbsit

Cites Work

• Bayesianly justifiable and relevant frequency calculations for the applied statistician
• Efficiencies of chi-square and likelihood ratio goodness-of-fit tests
• Unified large-sample theory of general chi-squared statistics for tests of fit
• A simulation-intensive approach for checking hierarchical models
• Bayesian goodness-of-fit testing using infinite-dimensional exponential families
• Posterior predictive model checking in hierarchical models
• The Intrinsic Bayes Factor for Model Selection and Prediction
• The Number of Classes in Chi-Squared Goodness-of-Fit Tests
• Are Two Classes Enough for the X²Goodness of Fit Test?
• Chi-Squared Goodness-of-Fit Tests: Cell Selection and Power
• Asymptotic behaviour of the posterior predictive p-value
• P Values for Composite Null Models
• Asymptotic Distribution of P Values in Composite Null Models
• Bayesian Measures of Model Complexity and Fit
• How Many Classes in the Pearson Chi-Square Test?
• The Number and Width of Classes in the Chi-Square Test
• On the Choice of the Number and Width of Classes for the Chi-Square Test of Goodness of Fit
• The Use of Maximum Likelihood Estimates in $\chi^2$ Tests for Goodness of Fit
• On the Choice of the Number of Class Intervals in the Application of the Chi Square Test
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A Bayesian \(\chi^2\) test for goodness-of-fit