Department of Epidemiology and Biostatistics, Amsterdam Public Health Research Institute, Amsterdam UMC-Location VU University Medical Center, Amsterdam, the Netherlands.
Department of Epidemiology and Biostatistics, Amsterdam Public Health Research Institute, Amsterdam UMC-Location VU University Medical Center, Amsterdam, the Netherlands.
J Clin Epidemiol. 2020 Jun;122:42-48. doi: 10.1016/j.jclinepi.2020.03.004. Epub 2020 Mar 9.
Competing events are often ignored in epidemiological studies. Conventional methods for the analysis of survival data assume independent or noninformative censoring, which is violated when subjects that experience a competing event are censored. Because many survival studies do not apply competing risk analysis, we explain and illustrate in a nonmathematical way how to analyze and interpret survival data in the presence of competing events.
Using data from the Longitudinal Aging Study Amsterdam, both marginal analyses (Kaplan-Meier method and Cox proportional-hazards regression) and competing risk analyses (cumulative incidence function [CIF], cause-specific and subdistribution hazard regression) were performed. We analyzed the association between sex and depressive symptoms, in which death before the onset of depression was a competing event.
The Kaplan-Meier method overestimated the cumulative incidence of depressive symptoms. Instead, the CIF should be used. As the subdistribution hazard model has a one-to-one relation with the CIF, it is recommended for prediction research, whereas the cause-specific hazard model is recommended for etiologic research.
When competing risks are present, the type of research question guides the choice of the analytical model to be used. In any case, results should be presented for all event types.
竞争事件在流行病学研究中经常被忽略。生存数据分析的常规方法假设独立或无信息的删失,而当经历竞争事件的受试者被删失时,这种假设就被违反了。由于许多生存研究不应用竞争风险分析,因此我们以非数学的方式解释和说明如何在存在竞争事件的情况下分析和解释生存数据。
使用来自阿姆斯特丹纵向老龄化研究的数据,同时进行了边缘分析(Kaplan-Meier 方法和 Cox 比例风险回归)和竞争风险分析(累积发生率函数 [CIF]、原因特异性和亚分布风险回归)。我们分析了性别与抑郁症状之间的关联,其中抑郁发作前的死亡是一个竞争事件。
Kaplan-Meier 方法高估了抑郁症状的累积发生率。相反,应该使用 CIF。由于亚分布风险模型与 CIF 有一对一的关系,因此建议将其用于预测研究,而原因特异性风险模型则建议用于病因研究。
当存在竞争风险时,研究问题的类型指导所使用的分析模型的选择。在任何情况下,都应报告所有事件类型的结果。