Bayesian variable selection with related predictors

DOI10.2307/3315687zbMath0849.62032arXivbayes-an/9510001OpenAlexW2001414552MaRDI QIDQ4883616

Publication date: 6 November 1996

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/bayes-an/9510001

zbMATH Keywords

interactions model selection polynomials linear model Gibbs sampler predictors prior information dummy variables categorical factors competing predictors stochastic search variable selection algorithm

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Bayesian inference (62F15)

Related Items

Variable selection for functional linear models with strong heredity constraint, A Scalable Hierarchical Lasso for Gene–Environment Interactions, Modeling gene-covariate interactions in sparse regression with group structure for genome-wide association studies, Spike and slab variable selection: frequentist and Bayesian strategies, Three-level main-effects designs exploiting prior information about model uncertainty, Bayesian variable selection with strong heredity constraints, Hasse diagrams as a visual aid for linear models and analysis of variance, A lasso for hierarchical interactions, A graph Laplacian prior for Bayesian variable selection and grouping, A modified adaptive Lasso for identifying interactions in the Cox model with the heredity constraint, A Note on High-Dimensional Linear Regression With Interactions, Bayesian Factor Analysis for Inference on Interactions, Variable Selection in Regression-Based Estimation of Dynamic Treatment Regimes, Let's practice what we preach: Planning and interpreting simulation studies with design and analysis of experiments, Bayesian Interaction Selection Model for Multimodal Neuroimaging Data Analysis, Variable Selection in the Presence of Factors: A Model Selection Perspective, A sparse additive model for high-dimensional interactions with an exposure variable, Bayesian nonparametric hypothesis testing for longitudinal data analysis, Topological techniques in model selection, Bayesian ridge regression for survival data based on a vine copula-based prior, Bayesian regularization via graph Laplacian, Structured variable selection in support vector machines, Subject-specific Dirichlet-multinomial regression for multi-district microbiota data analysis, FSR methods for second-order regression models, On the determinants of the 2008 financial crisis: a Bayesian approach to the selection of groups and variables, Model selection in regression under structural constraints, Automatic grouping using smooth-threshold estimating equations, Consistency of spike and slab regression, A Bayesian criterion for selecting super saturated screening designs., A modification of the Box–Meyer method for finding the active factors in screening experiments, Bayesian projection approaches to variable selection in generalized linear models, Coordinate descent based hierarchical interactive Lasso penalized logistic regression and its application to classification problems, Bayesian variable selection with related predictors, Effect fusion using model-based clustering, Bayesian variable selection in linear regression, Ecological prediction with nonlinear multivariate time-frequency functional data models, Bayesian effect fusion for categorical predictors, Variable selection and dependency networks for genomewide data, Temporal Causal Inference with Time Lag, Discussion of ``Response surface design evaluation and comparison by Christine Anderson-Cook, Connie Borror, and Douglas Montgomery, Ranked sparsity: a cogent regularization framework for selecting and estimating feature interactions and polynomials, Benchmark priors for Bayesian model averaging., Stochastic matching pursuit for Bayesian variable selection, Factor Selection and Structural Identification in the Interaction ANOVA Model, Structured variable selection and estimation, A fast algorithm for detecting gene-gene interactions in genome-wide association studies, Bayesian methods to overcome the winner's curse in genetic studies, Model uncertainty, Bayesian Lasso with Effect Heredity Principle, Statistical issues in studies of the long-term effects of air pollution: the Southern California Children's Health Study (with comments and rejoinder), Bayesian Variable Selection for Multivariate Spatially Varying Coefficient Regression, Group Regularized Estimation Under Structural Hierarchy, Joint specification of model space and parameter space prior distributions, Bayesian structured variable selection in linear regression models, Using the EM algorithm for Bayesian variable selection in logistic regression models with related covariates, Interaction Screening for Ultrahigh-Dimensional Data, The analysis of unreplicated factorial experiments from a geometric perspective, Identifying main effects and interactions among exposures using Gaussian processes, A Bayesian time-varying effect model for behavioral mHealth data, Applied regression analysis bibliography update 1994-97, Bayesian inference for high‐dimensional linear regression under mnet priors, Bayesian ridge estimators based on copula-based joint prior distributions for regression coefficients, Constructing two-level \(Q_B\)-optimal screening designs using mixed-integer programming and heuristic algorithms, A New Analysis Strategy for Designs With Complex Aliasing, A Default Bayesian Hypothesis Test for ANOVA Designs

Uses Software

Cites Work