title: On estimation of covariate-specific residual time quantiles under the proportional hazards model.
abstract: Estimation and inference in time-to-event analysis typically focus on hazard functions and their ratios under the Cox proportional hazards model. These hazard functions, while popular in the statistical literature, are not always easily or intuitively communicated in clinical practice, such as in the settings of patient counseling or resource planning. Expressing and comparing quantiles of event times may allow for easier understanding. In this article we focus on residual time, i.e., the remaining time-to-event at an arbitrary time t given that the event has yet to occur by t. In particular, we develop estimation and inference procedures for covariate-specific quantiles of the residual time under the Cox model. Our methods and theory are assessed by simulations, and demonstrated in analysis of two real data sets.
authors.affiliation: Department of Biostatistics, University of Washington, Seattle, WA, 98105, USA. crouch@uw.edu.
authors.forename: Luis Alexander
authors.initials: LA
authors.lastname: Crouch
authors.affiliation: Department of Biostatistics, University of Washington, Seattle, WA, 98105, USA.
authors.forename: Susanne
authors.initials: S
authors.lastname: May
authors.affiliation: Program in Biostatistics and Biomathematics, Fred Hutchinson Cancer Research Center, Seattle, WA, 98109, USA.
authors.forename: Ying Qing
authors.initials: YQ
authors.lastname: Chen
mesh_terms: D019380:Anti-HIV Agents / Q000627:therapeutic use; D003198:Computer Simulation; D005260:Female; D015658:HIV Infections / Q000150:complications / Q000188:drug therapy / Q000401:mortality; D006801:Humans; D007223:Infant; D007231:Infant, Newborn; D018445:Infectious Disease Transmission, Vertical / Q000517:prevention & control; D015233:Models, Statistical; D009959:Oropharyngeal Neoplasms / Q000401:mortality / Q000628:therapy; D011247:Pregnancy; D011251:Pregnancy Complications, Infectious / Q000188:drug therapy / Q000401:mortality; D016016:Proportional Hazards Models; D016032:Randomized Controlled Trials as Topic / Q000706:statistics & numerical data; D012044:Regression Analysis; D016019:Survival Analysis; D013997:Time Factors
chemical_list: D019380:Anti-HIV Agents
keywords: Censoring; Hazard function; Time-to-event