A note on the empirical likelihood confidence band for hazards ratio with covariate adjustment

作者: Shihong Zhu , Yifan Yang , Mai Zhou

DOI: 10.1111/BIOM.12311

关键词:

摘要: In medical studies comparing two treatments in the presence of censored data, stratified Cox model is an important tool that has ability to flexibly handle non-proportional hazards while allowing parsimonious covariate adjustment. order capture cumulative treatment effect, ratio specific baseline often used as a measure effect. Pointwise and simultaneous confidence bands associated with estimated provide global picture how effect evolves over time. Recently, Dong Matthews (2012, Biometrics 68, 408-418) proposed construct pointwise interval for using plug-in type empirical likelihood approach. However, their result on limiting distribution generally incorrect resulting asymptotically undercovering. this article, we derive correct statistic. We also present simulation demonstrate effectiveness our

参考文章(18)
Mei-Jie Zhang, John P. Klein, Confidence bands for the difference of two survival curves under proportional hazards model. Lifetime Data Analysis. ,vol. 7, pp. 243- 254 ,(2001) , 10.1023/A:1011636407958
David R. Cox, Regression Models and Life-Tables Springer Series in Statistics. ,vol. 34, pp. 527- 541 ,(1992) , 10.1007/978-1-4612-4380-9_37
Art Owen, Empirical Likelihood Ratio Confidence Regions Annals of Statistics. ,vol. 18, pp. 90- 120 ,(1990) , 10.1214/AOS/1176347494
P. K. Andersen, R. D. Gill, Cox's Regression Model for Counting Processes: A Large Sample Study Annals of Statistics. ,vol. 10, pp. 1100- 1120 ,(1982) , 10.1214/AOS/1176345976
Junshan Shen, Shuyuan He, Empirical likelihood for the difference of two survival functions under right censorship Statistics & Probability Letters. ,vol. 76, pp. 169- 181 ,(2006) , 10.1016/J.SPL.2005.07.018
Søren Johansen, Soren Johansen, An Extension of Cox's Regression Model International Statistical Review / Revue Internationale de Statistique. ,vol. 51, pp. 165- ,(1983) , 10.2307/1402746
Yichuan Zhao, Meng Zhao, Empirical likelihood for the contrast of two hazard functions with right censoring Statistics & Probability Letters. ,vol. 81, pp. 392- 401 ,(2011) , 10.1016/J.SPL.2010.11.021
Ingrid Van Keilegom, Nils Lid Hjort, Ian W. McKeague, Extending the Scope of Empirical Likelihood Annals of Statistics. ,vol. 37, pp. 1079- 1111 ,(2009) , 10.1214/07-AOS555
John H. J. Einmahl, Ian W. McKeague, CONFIDENCE TUBES FOR MULTIPLE QUANTILE PLOTS VIA EMPIRICAL LIKELIHOOD Annals of Statistics. ,vol. 27, pp. 1348- 1367 ,(1999) , 10.1214/AOS/1017938929
Ian W. McKeague, Yichuan Zhao, Simultaneous confidence bands for ratios of survival functions via empirical likelihood Statistics & Probability Letters. ,vol. 60, pp. 405- 415 ,(2002) , 10.1016/S0167-7152(02)00309-7