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Abstract:
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The estimates of quantile residual lifetime is becoming more critical in cancer research, since using it helps patients and physicians understand the efficacy of the treatment therapies in a more straightforward way than using the hazard function or probability of survival. In medical study, the multiple comparison procedures are the commonly used multiple decisions that assess the differences of the effects for several treatment groups, simultaneously. Because the simultaneous confidence regions may not be only used for the problems of hypotheses testing, but also provide the information about magnitudes of the differences between the survival indices of each treatment group. Hence, we consider construct the simultaneous confidence regions for the ratios of quantile residual lifetimes between the treatment groups and the control group based on the empirical likelihood ratio tests for censored survival data. The performance of the associated coverage probability and the average absolute deviance will be investigated via a simulation study. The use of the proposed procedure will be illustrated using real data sets.
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