Confidence intervals for the first crossing point of two hazard functions |
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Authors: | Ming-Yen Cheng Peihua Qiu Xianming Tan Dongsheng Tu |
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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: | The phenomenon of crossing hazard rates is common in clinical trials with time to event endpoints. Many methods have been
proposed for testing equality of hazard functions against a crossing hazards alternative. However, there has been relatively
few approaches available in the literature for point or interval estimation of the crossing time point. The problem of constructing
confidence intervals for the first crossing time point of two hazard functions is considered in this paper. After reviewing
a recent procedure based on Cox proportional hazard modeling with Box-Cox transformation of the time to event, a nonparametric
procedure using the kernel smoothing estimate of the hazard ratio is proposed. The proposed procedure and the one based on
Cox proportional hazard modeling with Box-Cox transformation of the time to event are both evaluated by Monte–Carlo simulations
and applied to two clinical trial datasets. |
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Keywords: | |
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