title: Variable selection in Bayesian generalized linear-mixed models: an illustration using candidate gene case-control association studies.
abstract: The problem of variable selection in the generalized linear-mixed models (GLMMs) is pervasive in statistical practice. For the purpose of variable selection, many methodologies for determining the best subset of explanatory variables currently exist according to the model complexity and differences between applications. In this paper, we develop a "higher posterior probability model with bootstrap" (HPMB) approach to select explanatory variables without fitting all possible GLMMs involving a small or moderate number of explanatory variables. Furthermore, to save computational load, we propose an efficient approximation approach with Laplace's method and Taylor's expansion to approximate intractable integrals in GLMMs. Simulation studies and an application of HapMap data provide evidence that this selection approach is computationally feasible and reliable for exploring true candidate genes and gene-gene associations, after adjusting for complex structures among clusters.
authors.affiliation: Institute of Statistics and Information Science, National Changhua University of Education, Changhua, 500, Taiwan.
authors.forename: Miao-Yu
authors.initials: MY
authors.lastname: Tsai
mesh_terms: D001499:Bayes Theorem; D001699:Biometry / Q000379:methods*; D016022:Case-Control Studies; D055106:Genome-Wide Association Study; D006801:Humans; D016013:Likelihood Functions; D016014:Linear Models; D020641:Polymorphism, Single Nucleotide
keywords: Bayesian model averaging; Bootstrap; Generalized linear-mixed model; Highest posterior probability model; Median probability model