Lane Peter
Research Statistics Unit, GlaxoSmithKline, Harlow, UK.
Pharm Stat. 2008 Apr-Jun;7(2):93-106. doi: 10.1002/pst.267.
This study compares two methods for handling missing data in longitudinal trials: one using the last-observation-carried-forward (LOCF) method and one based on a multivariate or mixed model for repeated measurements (MMRM). Using data sets simulated to match six actual trials, I imposed several drop-out mechanisms, and compared the methods in terms of bias in the treatment difference and power of the treatment comparison. With equal drop-out in Active and Placebo arms, LOCF generally underestimated the treatment effect; but with unequal drop-out, bias could be much larger and in either direction. In contrast, bias with the MMRM method was much smaller; and whereas MMRM rarely caused a difference in power of greater than 20%, LOCF caused a difference in power of greater than 20% in nearly half the simulations. Use of the LOCF method is therefore likely to misrepresent the results of a trial seriously, and so is not a good choice for primary analysis. In contrast, the MMRM method is unlikely to result in serious misinterpretation, unless the drop-out mechanism is missing not at random (MNAR) and there is substantially unequal drop-out. Moreover, MMRM is clearly more reliable and better grounded statistically. Neither method is capable of dealing on its own with trials involving MNAR drop-out mechanisms, for which sensitivity analysis is needed using more complex methods.
一种是使用末次观察值结转(LOCF)方法,另一种是基于重复测量的多变量或混合模型(MMRM)。利用模拟数据集以匹配六项实际试验,我施加了几种脱落机制,并在治疗差异的偏差和治疗比较的效能方面对这些方法进行了比较。在活性组和安慰剂组脱落情况相同的情况下,LOCF通常会低估治疗效果;但在脱落情况不同时,偏差可能会大得多,且偏差方向不定。相比之下,MMRM方法的偏差要小得多;虽然MMRM很少导致效能差异大于20%,但在近一半的模拟中,LOCF导致的效能差异大于20%。因此,使用LOCF方法很可能会严重歪曲试验结果,所以不是主要分析的好选择。相比之下,MMRM方法不太可能导致严重的误解,除非脱落机制是非随机缺失(MNAR)且脱落情况存在显著差异。此外,MMRM在统计学上显然更可靠且有更好的依据。这两种方法都无法单独处理涉及MNAR脱落机制的试验,对于此类试验,需要使用更复杂的方法进行敏感性分析。