title: Gene selection: a Bayesian variable selection approach.
abstract: Selection of significant genes via expression patterns is an important problem in microarray experiments. Owing to small sample size and the large number of variables (genes), the selection process can be unstable. This paper proposes a hierarchical Bayesian model for gene (variable) selection. We employ latent variables to specialize the model to a regression setting and uses a Bayesian mixture prior to perform the variable selection. We control the size of the model by assigning a prior distribution over the dimension (number of significant genes) of the model. The posterior distributions of the parameters are not in explicit form and we need to use a combination of truncated sampling and Markov Chain Monte Carlo (MCMC) based computation techniques to simulate the parameters from the posteriors. The Bayesian model is flexible enough to identify significant genes as well as to perform future predictions. The method is applied to cancer classification via cDNA microarrays where the genes BRCA1 and BRCA2 are associated with a hereditary disposition to breast cancer, and the method is used to identify a set of significant genes. The method is also applied successfully to the leukemia data.
  
  
  BACKGROUND
  http://stat.tamu.edu/people/faculty/bmallick.html.
authors.affiliation: Department of Statistics, Texas A&M University, College Station 77843-3143, USA.
authors.forename: Kyeong Eun
authors.initials: KE
authors.lastname: Lee
authors.forename: Naijun
authors.initials: N
authors.lastname: Sha
authors.forename: Edward R
authors.initials: ER
authors.lastname: Dougherty
authors.forename: Marina
authors.initials: M
authors.lastname: Vannucci
authors.forename: Bani K
authors.initials: BK
authors.lastname: Mallick
mesh_terms: D000465:Algorithms; D001499:Bayes Theorem; D001943:Breast Neoplasms / Q000145:classification / Q000235:genetics; D020869:Gene Expression Profiling / Q000379:methods*; D015972:Gene Expression Regulation, Neoplastic; D005796:Genes / Q000235:genetics*; D019398:Genes, BRCA1; D024522:Genes, BRCA2; D005819:Genetic Markers / Q000235:genetics; D020022:Genetic Predisposition to Disease / Q000145:classification / Q000235:genetics; D006801:Humans; D007951:Leukemia, Myeloid / Q000145:classification / Q000235:genetics; D008957:Models, Genetic; D015233:Models, Statistical; D020411:Oligonucleotide Array Sequence Analysis / Q000379:methods; D054198:Precursor Cell Lymphoblastic Leukemia-Lymphoma / Q000145:classification / Q000235:genetics; D018401:Sample Size
chemical_list: D005819:Genetic Markers