Zhu Liang, Zhao Hui, Sun Jianguo, Pounds Stanley, Zhang Hui
Department of Biostatistics, St. Jude Children's Research Hospital, Memphis, TN 38103, USA.
Biom J. 2013 Jan;55(1):5-16. doi: 10.1002/bimj.201200018. Epub 2012 Dec 5.
This paper discusses regression analysis of longitudinal data in which the observation process may be related to the longitudinal process of interest. Such data have recently attracted a great deal of attention and some methods have been developed. However, most of those methods treat the observation process as a recurrent event process, which assumes that one observation can immediately follow another. Sometimes, this is not the case, as there may be some delay or observation duration. Such a process is often referred to as a recurrent episode process. One example is the medical cost related to hospitalization, where each hospitalization serves as a single observation. For the problem, we present a joint analysis approach for regression analysis of both longitudinal and observation processes and a simulation study is conducted that assesses the finite sample performance of the approach. The asymptotic properties of the proposed estimates are also given and the method is applied to the medical cost data that motivated this study.
本文讨论纵向数据的回归分析，其中观测过程可能与感兴趣的纵向过程相关。这类数据最近引起了广泛关注，并且已经开发了一些方法。然而，这些方法大多将观测过程视为一个复发事件过程，即假设一次观测可以紧接着另一次观测。有时并非如此，因为可能存在一些延迟或观测持续时间。这样的过程通常被称为复发发作过程。一个例子是与住院相关的医疗费用，每次住院作为一次单独的观测。针对该问题，我们提出了一种用于纵向和观测过程回归分析的联合分析方法，并进行了模拟研究以评估该方法的有限样本性能。还给出了所提估计量的渐近性质，并将该方法应用于激发本研究的医疗费用数据。
