Thompson Douglas D, Lingsma Hester F, Whiteley William N, Murray Gordon D, Steyerberg Ewout W
Edinburgh Hub for Trials Methodology Research, Centre for Population Health Sciences University of Edinburgh, Edinburgh EH89AG, UK.
Department of Public Health, Centre for Medical Decision Sciences, Erasmus MC, Rotterdam, The Netherlands.
J Clin Epidemiol. 2015 Sep;68(9):1068-75. doi: 10.1016/j.jclinepi.2014.11.001. Epub 2014 Nov 13.
Covariate adjustment is a standard statistical approach in the analysis of randomized controlled trials. We aimed to explore whether the benefit of covariate adjustment on statistical significance and power differed between small and large trials, where chance imbalance in prognostic factors necessarily differs.
We studied two large trial data sets [Global Use of Strategies to Open Occluded Coronary Arteries (GUSTO-I), N = 30,510 and International Stroke Trial (IST), N = 18,372] repeatedly drawing random samples (500,000 times) of sizes 300 and 5,000 per arm and simulated each primary outcome using the control arms. We empirically determined the treatment effects required to fix power at 80% for all unadjusted analyses and calculated the joint probabilities in the discordant cells when cross-classifying adjusted and unadjusted results from logistic regression models (ie, P < 0.05 vs. P ≥ 0.05).
The power gained from an adjusted analysis for small and large samples was between 5% and 6%. Similar proportions of discordance were noted irrespective of the sample size in both the GUSTO-I and the IST data sets.
The proportions of change in statistical significance from covariate adjustment of strongly prognostic characteristics were the same for small and large trials with similar gains in statistical power. Covariate adjustment is equally recommendable in small and large trials.
协变量调整是随机对照试验分析中的一种标准统计方法。我们旨在探讨协变量调整对统计学显著性和检验效能的益处在小型和大型试验中是否存在差异,因为预后因素的偶然不平衡必然有所不同。
我们研究了两个大型试验数据集[全球应用开放闭塞冠状动脉策略(GUSTO-I),N = 30510;国际卒中试验(IST),N = 18372],每次从每个组中重复抽取样本量为300和5000的随机样本(共500000次),并使用对照组模拟每个主要结局。我们凭经验确定了所有未调整分析中将检验效能固定为80%所需的治疗效果,并计算了逻辑回归模型中调整后和未调整结果交叉分类时不一致单元格中的联合概率(即P < 0.05与P≥0.05)。
小型和大型样本经调整分析后获得的检验效能在5%至6%之间。在GUSTO-I和IST数据集中,无论样本量大小,不一致的比例相似。
对于小型和大型试验,对强预后特征进行协变量调整后统计学显著性的变化比例相同,且统计检验效能有相似提高。协变量调整在小型和大型试验中同样值得推荐。