GlaxoSmithKline Biologicals, Rue de l'Institut 89, B–1330 Rixensart, Belgium.
Contemp Clin Trials. 2010 Nov;31(6):647-56. doi: 10.1016/j.cct.2010.08.011. Epub 2010 Sep 9.
Subgroup analyses in clinical trials are becoming increasingly important. In cancer research more and more targeted therapies are explored and probably only a portion of the whole population will benefit from them. Subgroups of interest can be analyzed in several ways, but a correction of the type I error probability is needed in order to appropriately draw conclusions. Often a conservative Bonferroni approach is taken where the total significance level is distributed (equally or unequally) over the analysis including all patients (overall analysis) and the subgroup analysis. However, more efficient methods are available that take into account the correlation that exists between the test statistics for the overall and the subgroup analysis. The latter approaches are very appealing but have not found their way into practice. The aim of this paper is to show that these methods are the same as the methods used when dealing with interim analyses, i.e., group sequential methods, and hence standard software can be used to calculate the appropriate significance levels. Further, we show that this correction can be applied even when the size of the subgroup is unknown until the end of the trial. Using a simulation study with survival data, we also show that the familywise error rate is well controlled, even with small sample sizes. We hope that this will promote the use of these methods in future cancer clinical trials.
亚组分析在临床试验中变得越来越重要。在癌症研究中,越来越多的靶向治疗方法正在被探索,而可能只有一部分人群会从中受益。可以通过几种方式来分析感兴趣的亚组,但需要对Ⅰ类错误概率进行校正,以便恰当地得出结论。通常采用保守的 Bonferroni 方法,即将总显著性水平(均等或不均等)分布在包括所有患者的整体分析(总体分析)和亚组分析中。然而,现在有更有效的方法可以考虑到整体分析和亚组分析之间存在的检验统计量之间的相关性。后一种方法非常吸引人,但尚未在实践中得到应用。本文的目的是表明这些方法与处理中期分析时使用的方法相同,即分组序列方法,因此可以使用标准软件来计算适当的显著性水平。此外,我们还表明,即使在试验结束之前都不知道亚组的大小,也可以应用这种校正。使用生存数据的模拟研究,我们还表明,即使在小样本量的情况下,也能很好地控制总体错误率。我们希望这将促进在未来癌症临床试验中使用这些方法。