title: Rank-preserving regression: a more robust rank regression model against outliers.
abstract: Mean-based semi-parametric regression models such as the popular generalized estimating equations are widely used to improve robustness of inference over parametric models. Unfortunately, such models are quite sensitive to outlying observations. The Wilcoxon-score-based rank regression (RR) provides more robust estimates over generalized estimating equations against outliers. However, the RR and its extensions do not sufficiently address missing data arising in longitudinal studies. In this paper, we propose a new approach to address outliers under a different framework based on the functional response models. This functional-response-model-based alternative not only addresses limitations of the RR and its extensions for longitudinal data, but, with its rank-preserving property, even provides more robust estimates than these alternatives. The proposed approach is illustrated with both real and simulated data. Copyright © 2016 John Wiley & Sons, Ltd.
authors.affiliation: Department of Mathematics and Statistics, University of Toledo, Toledo, 43606, OH, U.S.A.
authors.forename: Tian
authors.initials: T
authors.lastname: Chen
authors.affiliation: Department of Biostatistics and Bioinformatics, Emory University, Atlanta, 30322, GA, U.S.A.
authors.forename: Jeanne
authors.initials: J
authors.lastname: Kowalski
authors.affiliation: Consumer Behavior, Amazon.com, Inc. 333 Boren Ave N, Seattle, 98109, WA, U.S.A.
authors.forename: Rui
authors.initials: R
authors.lastname: Chen
authors.affiliation: CValue Institute, Christiana Care Health System, John H Ammon Medical Education Center, Newark, 19718, DE, U.S.A.
authors.forename: Pan
authors.initials: P
authors.lastname: Wu
authors.affiliation: Department of Biostatistics, St. Jude Children's Research Hospital, Memphis, 38105, TN, U.S.A.
authors.forename: Hui
authors.initials: H
authors.lastname: Zhang
authors.affiliation: Department of Biostatistics and Computational Biology, University of Rochester, Rochester, 14642, NY, U.S.A.
authors.forename: Changyong
authors.initials: C
authors.lastname: Feng
authors.affiliation: Department of Biostatistics and Computational Biology, University of Rochester, Rochester, 14642, NY, U.S.A.
authors.forename: Xin M
authors.initials: XM
authors.lastname: Tu
mesh_terms: D003198:Computer Simulation; D006801:Humans; D008137:Longitudinal Studies; D015233:Models, Statistical; D012044:Regression Analysis
keywords: between-subject attribute; linear regression; rank regression; semi-parametric regression models; sexual health