Department of Biomedical Data Sciences, LUMC, Leiden, the Netherlands.
DKMS, German Bone Marrow Donor Center, Dresden, Germany.
Bone Marrow Transplant. 2022 Sep;57(9):1428-1434. doi: 10.1038/s41409-022-01740-4. Epub 2022 Jun 27.
The final article in our Statistics Series by de Wreede and colleagues deals with the important issue of survival analyses in general and in recipients of haematopoietic cell transplants specifically. At first glance analyzing survival should be simple. The endpoint is clear with rare exception, the subject is either alive or dead. Compare this to other less well defined transplant-related outcomes such as who has acute graft-versus-host disease (GvHD) and of what grade or what is the cause of interstitial pneumonia. There is also the complexity of composite endpoints when one analyzes outcomes such as event-free (EFS) or relapse-free survival (RFS). Here you're either alive or dead.
Alas, as it turns out things are not so simple. As the authours point out: it takes time to observe time. It is almost never possible to wait long enough for everyone in a study to die. (Some people who are cured by a transplant will outlive their physician and statistician.) Other subjects may not be followed until the end of the study, lost to follow-up or withdraw consent to participate. Often these are non-random events, muddy the water and make what seems a simple analysis of survival not so. Fortunately, de Wreede and colleagues discuss the issues of informative and non-informative censoring and time-dependent co-variates. And there are other nasty complexities such non-proportional hazards of death say when initially there is a survival disadvantage to transplants from transplant-related mortality followed in 1-2 years by a survival benefit. They emphasize the danger of considering only Hazard Ratio in this setting. Lastly, the authours discuss how to compare interventions such as conventional therapy versus a haematopoietic cell transplant when the endpoint of interest is survival. We think this article will be of considerable interest to readers of BONE MARROW TRANSPLANTATION and suggest you study it carefully. Survival analyses, seemingly simple, are a potential minefield. You don't want to step on one. This article and the entire Statistics Series are available online at https://www.nature.com/collections/ejhigdbeeh . Robert Peter Gale MD, PhD & Mei-Jie Zhang PhD. The most important outcome of many studies of haematopoietic cell transplants is survival. The statistical field that deals with such outcomes is survival analysis. Methods developed in this field are also applicable to other outcomes where the occurrence and timing are important. Analysis of such time-to-event outcomes has special challenges because it takes time to observe time. The most important condition for unbiased estimation of a survival curve-non-informative censoring-is discussed along with methods to account for competing risks, a situation where multiple, mutually-exclusive endpoints are of interest. Techniques to compare survival outcomes between groups are reviewed, including the instance where it is unknown at baseline to which group a subject will belong later during follow-up (time-dependent covariates).
我们的统计系列文章由德弗瑞德和同事撰写的最后一篇文章涉及到一个重要问题,即一般的生存分析,特别是造血细胞移植受者的生存分析。乍一看,分析生存应该很简单。除了罕见的例外,终点很明确,要么是死亡,要么是生存。与其他不太明确的移植相关结局相比,例如谁患有急性移植物抗宿主病(GVHD)以及病情严重程度如何,或者间质性肺炎的病因是什么。当分析无事件(EFS)或无复发(RFS)等复合结局时,还存在复合终点的复杂性。在这种情况下,要么是死亡,要么是生存。
不幸的是,事实证明事情并不那么简单。正如作者所指出的:观察时间需要时间。几乎不可能等待研究中的每个人都死亡,因为这需要很长时间。(一些通过移植治愈的人会比他们的医生和统计学家活得更长。)其他受试者可能不会在研究结束时得到随访,也可能会失访或退出参与研究。这些往往是随机事件,使看似简单的生存分析变得复杂。幸运的是,德弗瑞德和同事讨论了信息性和非信息性删失以及时间依赖性协变量的问题。还有其他一些复杂的问题,例如死亡的非比例风险,例如最初从与移植相关的死亡率来看,移植有生存劣势,然后在 1-2 年内转为生存获益。他们强调了在这种情况下仅考虑风险比的危险。最后,作者讨论了当感兴趣的终点是生存时,如何比较常规治疗与造血细胞移植等干预措施。我们认为这篇文章将对《骨髓移植》的读者有相当大的兴趣,并建议您仔细阅读。看似简单的生存分析是一个潜在的雷区。您不想踩到一个。这篇文章和整个统计系列文章都可以在 https://www.nature.com/collections/ejhigdbeeh 上在线获取。罗伯特·彼得·盖尔医学博士、哲学博士和张美洁博士。许多造血细胞移植研究的最重要结果是生存。处理此类结果的统计领域是生存分析。在这个领域开发的方法也适用于其他重要的时间事件结果,例如发生和时间。分析此类时间事件结果具有特殊的挑战,因为需要时间来观察时间。讨论了非信息性删失(无偏估计生存曲线的最重要条件)以及如何处理竞争风险的方法,竞争风险是指多个相互排斥的终点都感兴趣的情况。还回顾了比较组间生存结果的技术,包括在基线时不知道受试者在随访期间(时间依赖性协变量)将属于哪一组的情况。