title: Residual plots to reveal the functional form for covariates in parametric accelerated failure time models.
abstract: We study residual plots for parametric accelerated failure time (AFT) models, using both standardized residuals and Cox-Snell residuals. Two different approaches are discussed in the case of censored data; adjusting censored residuals by adding a residual time, and using nonparametric exponential regression of non-adjusted censored Cox-Snell residuals. The main object of the paper is to show how residuals can be used to infer the correct functional form for possibly misspecified covariates. We demonstrate the use of the methods by analysis of two reliability data sets and by a simulation study using Weibull-distributed data. We also consider briefly a corresponding approach for parametric proportional hazards models.
authors.affiliation: Department of Mathematical Sciences, Norwegian University of Science and Technology, 7491, Trondheim, Norway, bo@math.ntnu.no.
authors.forename: Bo Henry
authors.initials: BH
authors.lastname: Lindqvist
authors.forename: Jan Terje
authors.initials: JT
authors.lastname: Kvaløy
authors.forename: Stein
authors.initials: S
authors.lastname: Aaserud
mesh_terms: D000704:Analysis of Variance; D056808:Biostatistics; D003198:Computer Simulation; D006801:Humans; D015233:Models, Statistical; D016016:Proportional Hazards Models; D016019:Survival Analysis; D013997:Time Factors