Checking the censored two-sample accelerated life model using integrated cumulative hazard difference |
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Authors: | Seung-Hwan Lee Song Yang |
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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 |
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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. |
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Keywords: | Accelerated life Censored data Lack-of-fit tests Martingale residuals |
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