论文标题
多个调解人的最佳两阶段测试
On optimal two-stage testing of multiple mediators
论文作者
论文摘要
高维设置中的调解分析通常涉及确定大量测量变量之间的潜在介体。为此，最近提出了一个两步的家庭错误率程序，称为筛选的错误程序（Djordjilović等人，2019年）。在筛选中，首先要筛选变量，并且只有通过筛选的变量进行测试。已提出的选择阈值已被证明可以保证渐近族的错误率。在这项工作中，我们研究了选择阈值对有限样本家庭错误率的影响。我们得出了最大化选择阈值的功率，并证明了它通过Wang等人的自适应阈值很好地近似。 （2016）。我们说明了一项病例对照研究的研究程序，该研究研究了鱼类摄入对结直肠腺瘤风险的影响。
Mediation analysis in high-dimensional settings often involves identifying potential mediators among a large number of measured variables. For this purpose, a two-step familywise error rate procedure called ScreenMin has been recently proposed (Djordjilović et al. 2019). In ScreenMin, variables are first screened and only those that pass the screening are tested. The proposed threshold for selection has been shown to guarantee asymptotic familywise error rate. In this work, we investigate the impact of the selection threshold on the finite sample familywise error rate. We derive a power maximizing selection threshold and show that it is well approximated by an adaptive threshold of Wang et al. (2016). We illustrate the investigated procedures on a case-control study examining the effect of fish intake on the risk of colorectal adenoma.
