加法风险模型下聚类区间删失数据的回归分析
additive hazards model; interval-censored; within-cluster resampling; semiparametric regression
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摘要: 聚类区间删失失效时间常出现于医学研究中研究对象来自同一个类中的情形. 此外, 失效时间可能与类的大小相关.由于缺乏直接分析所需的推演过程, 因此常见的简单方式就是简化区间删失数据.鉴于此, 本文提出了类内重抽样方法来考虑加法风险模型下的~II~型区间删失问题.类内重抽样的方法简单但需要大量计算, 这一方法的主要优势在于在类的大小相关时,估计变量易于实现. 渐近性质和部分模拟结果的讨论验证了该方法的有效性.Abstract: Clustered interval-censored failure time data often arises in medical studies when study subjects come from the same cluster. Furthermore, the failure time may be related to the cluster size. A simple and common approach is to simplify interval-censored data due to the lack of proper inference procedures for direct analysis. For this reason, we proposed the within-cluster resampling-based method to consider the case II interval-censored data under the additive hazards model. With-cluster resampling is simple but computationally intensive. A major advantage of the proposed approach is that the estimator can be easily implemented when the cluster size is informative. Asymptotic properties and some simulation results are provided and indicate that the proposed approach works well.