On the Null Distribution of Bayes Factors in Linear Regression

DOI10.1080/01621459.2017.1328361zbMath1402.62172OpenAlexW2741834765WikidataQ58580693 ScholiaQ58580693MaRDI QIDQ4559714

Yongtao Guan, Quan Zhou

Publication date: 4 December 2018

Published in: Journal of the American Statistical Association (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01621459.2017.1328361

zbMATH Keywords

\(p\)-valueweighted sum of chi-squared random variablesscaled Bayes factor

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to statistics (62-04) Bayesian inference (62F15) Generalized linear models (logistic models) (62J12)

Related Items

Fast model-fitting of Bayesian variable selection regression using the iterative complex factorization algorithm ⋮ A Bayesian-motivated test for high-dimensional linear regression models with fixed design matrix

Uses Software

• pi-MASS

Cites Work

• Bayesian variable selection regression for genome-wide association studies and other large-scale problems
• Bayesianly justifiable and relevant frequency calculations for the applied statistician
• Posterior predictive \(p\)-values
• On the efficient calculation of a linear combination of chi-square random variables with an application in counting string vacua
• Large-Scale Multiple Testing under Dependence
• A comment on D. V. Lindley's statistical paradox
• Saddle-point Methods for the Multinomial Distribution
• Mixtures of g Priors for Bayesian Variable Selection
• Sampling and Bayes' Inference in Scientific Modelling and Robustness
• On Bayesian Analysis of Generalized Linear Models Using Jeffreys's Prior
• Asymptotic Distribution of P Values in Composite Null Models
• Calibration ofρValues for Testing Precise Null Hypotheses
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item