Goodness-of-fit tests for additive mean residual life model under right censoring.
The mean residual life (MRL) measures the remaining life expectancy and is useful in actuarial studies, biological experiments and clinical trials. To assess the covariate effect, an additive MRL regression model has been proposed in the literature. In this paper, we focus on the topic of model checking. Specifically, we develop two goodness-of-fit tests to test the additive MRL model assumption. We explore the large sample properties of the test statistics and show that both of them are based on asymptotic Gaussian processes so that resampling approaches can be applied to find the rejection regions. Simulation studies indicate that our methods work reasonably well for sample sizes ranging from 50 to 200. Two empirical data sets are analyzed to illustrate the approaches.
Zhang
Zhigang
Z
Department of Epidemiology and Biostatistics, Memorial Sloan-Kettering Cancer Center, New York, NY 10065, USA. zhangz@mskcc.org
Zhao
Xingqiu
X
Sun
Liuquan
L
D000230:Adenocarcinoma / Q000532:radiotherapy; D000970:Antineoplastic Agents / Q000627:therapeutic use; D002986:Clinical Trials as Topic; D015179:Colorectal Neoplasms / Q000532:radiotherapy; D003198:Computer Simulation; D008017:Life Expectancy; D008175:Lung Neoplasms / Q000188:drug therapy; D015233:Models, Statistical; D018401:Sample Size; D016019:Survival Analysis
D000970:Antineoplastic Agents