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Checking the censored two-sample accelerated life model using integrated cumulative hazard difference
Authors:Seung-Hwan Lee  Song Yang
Institution:(1) Department of Mathematics and Computer Science, Illinois Wesleyan University, Bloomington, IL 61702, USA;(2) Division of Epidemiology and Clinical Applications, National Heart, Lung and Blood Institute, Bethesda, MD 20892, USA
Abstract: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.
Keywords:Accelerated life  Censored data  Lack-of-fit tests  Martingale residuals
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