title: Applications of Bayesian gene selection and classification with mixtures of generalized singular g-priors.
abstract: Recent advancement in microarray technologies has led to a collection of an enormous number of genetic markers in disease association studies, and yet scientists are interested in selecting a smaller set of genes to explore the relation between genes and disease. Current approaches either adopt a single marker test which ignores the possible interaction among genes or consider a multistage procedure that reduces the large size of genes before evaluation of the association. Among the latter, Bayesian analysis can further accommodate the correlation between genes through the specification of a multivariate prior distribution and estimate the probabilities of association through latent variables. The covariance matrix, however, depends on an unknown parameter. In this research, we suggested a reference hyperprior distribution for such uncertainty, outlined the implementation of its computation, and illustrated this fully Bayesian approach with a colon and leukemia cancer study. Comparison with other existing methods was also conducted. The classification accuracy of our proposed model is higher with a smaller set of selected genes. The results not only replicated findings in several earlier studies, but also provided the strength of association with posterior probabilities.
authors.affiliation: Biostatistics Center, Taipei Medical University, Taipei 11031, Taiwan.
authors.forename: Wen-Kuei
authors.initials: WK
authors.lastname: Chien
authors.affiliation: Institute of Epidemiology and Preventive Medicine, College of Public Health, National Taiwan University, Taipei 10055, Taiwan ; Bioinformatics and Biostatistics Core, Division of Genomic Medicine, Research Center for Medical Excellence, National Taiwan University, Taipei 10055, Taiwan.
authors.forename: Chuhsing Kate
authors.initials: CK
authors.lastname: Hsiao
mesh_terms: D000465:Algorithms; D001499:Bayes Theorem; D003110:Colonic Neoplasms / Q000235:genetics*; D019295:Computational Biology; D016208:Databases, Factual; D006801:Humans; D007938:Leukemia / Q000235:genetics*; D016403:Lymphoma, Large B-Cell, Diffuse / Q000235:genetics; D015999:Multivariate Analysis; D016011:Normal Distribution; D011336:Probability; D012044:Regression Analysis; D015203:Reproducibility of Results; D012984:Software; D013269:Stochastic Processes