| Summary: | 碩士 === 東海大學 === 統計學系 === 104 === The estimation of mean residual lifetime or quantile residual lifetime is becoming more critical in cancer research, since it provides patients and physicians with information about the efficacy of the treatment therapies in a more straightforward way 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 maybe used for hypotheses testing, as well as providing the information about magnitudes of the differences between the survival indices of each treatment group. In this project for censored survival data, we consider the construction of the simultaneous confidence regions for the ratios of quantile residual lifetimes between the treatment group and the control group based on the nonparametric method and the empirical likelihood ratio tests. The performance of the associated coverage probability and the average coverage area will be investigated via a simulation study. The use of the proposed procedure will be illustrated using real data sets.
Keywords : censored survival data; confidence region; minimum dispersion statistic; multiple comparison; quantile residual lifetime
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