Cong Xiuyu J, Yin Guosheng, Shen Yu
Department of Biometrics and Data Management, Boehringer Ingelheim Pharmaceuticals, P.O. Box 368, Ridgefield, Connecticut 06877, USA.
Biometrics. 2007 Sep;63(3):663-72. doi: 10.1111/j.1541-0420.2006.00730.x.
We consider modeling correlated survival data when cluster sizes may be informative to the outcome of interest based on a within-cluster resampling (WCR) approach and a weighted score function (WSF) method. We derive the large sample properties for the WCR estimators under the Cox proportional hazards model. We establish consistency and asymptotic normality of the regression coefficient estimators, and the weak convergence property of the estimated baseline cumulative hazard function. The WSF method is to incorporate the inverse of cluster sizes as weights in the score function. We conduct simulation studies to assess and compare the finite-sample behaviors of the estimators and apply the proposed methods to a dental study as an illustration.
我们考虑基于聚类内重采样（WCR）方法和加权得分函数（WSF）方法对聚类大小可能对感兴趣的结果具有信息性的相关生存数据进行建模。我们推导了Cox比例风险模型下WCR估计量的大样本性质。我们建立了回归系数估计量的一致性和渐近正态性，以及估计的基线累积风险函数的弱收敛性质。WSF方法是在得分函数中纳入聚类大小的倒数作为权重。我们进行模拟研究以评估和比较估计量的有限样本行为，并将所提出的方法应用于一项牙科研究作为示例。
