title: Structured variable selection with q-values.
abstract: When some of the regressors can act on both the response and other explanatory variables, the already challenging problem of selecting variables when the number of covariates exceeds the sample size becomes more difficult. A motivating example is a metabolic study in mice that has diet groups and gut microbial percentages that may affect changes in multiple phenotypes related to body weight regulation. The data have more variables than observations and diet is known to act directly on the phenotypes as well as on some or potentially all of the microbial percentages. Interest lies in determining which gut microflora influence the phenotypes while accounting for the direct relationship between diet and the other variables A new methodology for variable selection in this context is presented that links the concept of q-values from multiple hypothesis testing to the recently developed weighted Lasso.
authors.affiliation: Department of Epidemiology and Biostatistics, Texas A&M Health Science Center, College Station, TX 77843-1266, USA.
authors.forename: Tanya P
authors.initials: TP
authors.lastname: Garcia
authors.forename: Samuel
authors.initials: S
authors.lastname: Müller
authors.forename: Raymond J
authors.initials: RJ
authors.lastname: Carroll
authors.forename: Tamara N
authors.initials: TN
authors.lastname: Dunn
authors.forename: Anthony P
authors.initials: AP
authors.lastname: Thomas
authors.forename: Sean H
authors.initials: SH
authors.lastname: Adams
authors.forename: Suresh D
authors.initials: SD
authors.lastname: Pillai
authors.forename: Rosemary L
authors.initials: RL
authors.lastname: Walzem
mesh_terms: D000818:Animals; D001835:Body Weight / Q000502:physiology; D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D004041:Dietary Fats / Q000378:metabolism; D004044:Dietary Proteins / Q000378:metabolism; D005243:Feces / Q000382:microbiology; D051379:Mice; D015233:Models, Statistical; D012107:Research Design
chemical_list: D004041:Dietary Fats; D004044:Dietary Proteins
keywords: False discovery rate; Microbial data; Variable selection; Weighted Lasso; q-Values