Lagakos S W, Lim L L, Robins J M
Department of Biostatistics, Harvard School of Public Health, Boston, MA 02115.
Stat Med. 1990 Dec;9(12):1417-24; discussion 1433-7. doi: 10.1002/sim.4780091204.
In clinical trials of long-term therapies, patients often terminate their treatments earlier than planned. When analysing time-to-failure data, one approach to account for early treatment termination censors failure at the time of termination of therapy. In general, however, this does not produce valid inferences about the distribution of time to failure that would have occurred had treatment not been terminated. In contrast, intent-to-treat analyses, which are based on time to failure regardless of whether and when treatment is terminated, always produce valid inferences about the unconditional distribution of time to failure. Early treatment termination does not distort the size (type I error rate) of intent-to-treat tests but can cause a loss in power. Modifications to ordinary logrank tests can be used to recover some of the lost power without affecting test size, and can be most useful when the proportion of at-risk patients still taking their treatment changes substantially during periods when failures are observed. Extensions of the modified test to include strata are straightforward, although important design questions require further research.
在长期治疗的临床试验中,患者常常比计划更早地终止治疗。在分析失效时间数据时,一种考虑早期治疗终止的方法是将治疗终止时的失效视为删失。然而,一般来说,这并不能对如果不终止治疗将会出现的失效时间分布做出有效的推断。相比之下,意向性分析基于失效时间,无论治疗是否以及何时终止,总是能对失效时间的无条件分布做出有效的推断。早期治疗终止不会扭曲意向性治疗检验的规模(I型错误率),但可能会导致检验效能的损失。对普通对数秩检验进行修正可用于在不影响检验规模的情况下恢复部分损失的效能,并且当在观察到失效的时间段内仍在接受治疗的风险患者比例发生显著变化时,这种修正最为有用。将修正后的检验扩展到包含分层很简单,不过重要的设计问题仍需进一步研究。