Checking the censored two-sample accelerated life model using integrated cumulative hazard difference.
In this paper, new statistical tests for the censored two-sample accelerated life model are discussed. From the estimating functions using integrated cumulative hazard difference, stochastic processes are constructed. They can be described by martingale residuals, and, given the data, conditional distributions can be approximated by zero mean Gaussian processes. The new methods, based on these processes, provide asymptotically consistent tests against a general departure from the model. A graphical method is also discussed. In various numerical studies, the new tests performed better than the existing method, especially when the hazard curves cross. The proposed procedures are illustrated with two real data sets.
Lee
Seung-Hwan
SH
Department of Mathematics and Computer Science, Illinois Wesleyan University, Bloomington, IL 61702, USA. slee2@iwu.edu
Yang
Song
S
D000970:Antineoplastic Agents / Q000627:therapeutic use; D018288:Carcinoma, Small Cell / Q000401:mortality; D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D006801:Humans; D008175:Lung Neoplasms / Q000401:mortality; D015233:Models, Statistical; D013269:Stochastic Processes; D013274:Stomach Neoplasms / Q000188:drug therapy; D016019:Survival Analysis
D000970:Antineoplastic Agents