Department of Internal Medicine, Yale University School of Medicine, PO Box 208034, New Haven, CT 06520-8034, USA.
J Gerontol A Biol Sci Med Sci. 2011 Jan;66(1):109-14. doi: 10.1093/gerona/glq188. Epub 2010 Oct 28.
Longitudinal studies in gerontology are characterized by termination of measurement from death. Death is related to many important gerontological outcomes, such as functional disability, and may, over time, change the composition of an older study population. For these reasons, treating death as noninformative censoring of a longitudinal outcome may result in biased estimates of regression coefficients related to that outcome.
In a longitudinal study of community-living older persons, we analytically and graphically illustrate the dependence between death and functional disability. Relative to survivors, decedents display a rapid decline of functional ability in the months preceding death. Death's strong relationship with functional disability demonstrates that death is not independent of this outcome and, hence, leads to informative censoring. We also demonstrate the "healthy survivor effect" that results from death's selection effect, with respect to functional disability, on the longitudinal makeup of an older study population.
We briefly survey commonly used approaches for longitudinal modeling of gerontological outcomes, with special emphasis on their treatment of death. Most common methods treat death as noninformative censoring. However, joint modeling methods are described that take into account any dependency between death and a longitudinal outcome.
In longitudinal studies of older persons, death is often related to gerontological outcomes and, therefore, cannot be safely assumed to represent noninformative censoring. Such analyzes must account for the dependence between outcomes and death as well as the changing nature of the cohort.
老年学中的纵向研究的特点是从死亡时停止测量。死亡与许多重要的老年学结果有关,例如功能障碍,并且随着时间的推移,可能会改变老年研究人群的构成。出于这些原因,将死亡视为纵向结果的无信息删失可能会导致与该结果相关的回归系数的估计值出现偏差。
在一项对居住在社区的老年人的纵向研究中,我们从分析和图形上说明了死亡与功能障碍之间的依赖关系。与幸存者相比,死者在死亡前的几个月中功能能力迅速下降。死亡与功能障碍之间的紧密关系表明,死亡与该结果并非独立,因此会导致有信息的删失。我们还展示了由于死亡对功能障碍的选择效应,导致老年研究人群的纵向构成发生“健康幸存者效应”。
我们简要介绍了常用于老年学结果的纵向建模的常用方法,特别强调了它们对死亡的处理。大多数常见方法将死亡视为无信息删失。但是,也描述了联合建模方法,这些方法考虑了死亡与纵向结果之间的任何依赖性。
在对老年人进行的纵向研究中,死亡通常与老年学结果有关,因此不能假定为无信息删失。此类分析必须考虑到结果与死亡之间的依赖性以及队列的变化性质。