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Nonparametric confidence intervals for the ratio of marginal hazard rates of paired survival times
Author(s) -
Jin Huan,
Zhao Naiqing,
Tu Dongsheng
Publication year - 2012
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.201100048
Subject(s) - hazard ratio , confidence interval , statistics , nonparametric statistics , censoring (clinical trials) , mathematics , hazard , cdf based nonparametric confidence interval , econometrics , chemistry , organic chemistry
Paired survival times with potential censoring are often observed from two treatment groups in clinical trials and other types of clinical studies. The ratio of marginal hazard rates may be used to quantify the treatment effect in these studies. In this paper, a recently proposed nonparametric kernel method is used to estimate the marginal hazard rate, and the method of variance estimates recovery (MOVER) is used for the construction of the confidence intervals of a time‐dependent hazard ratio based on the confidence limits of a single marginal hazard rate. Two methods are proposed: one uses the delta method and another adopts the transformation method to construct confidence limits for the marginal hazard rate. Simulations are performed to evaluate the performance of the proposed methods. Real data from two clinical trials are analyzed using the proposed methods.