arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.02844stat.ME
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关于多个介质的最优两阶段检验

On optimal two-stage testing of multiple mediators

Vera Djordjilović, Jesse Hemerik, Magne Thoresen

摘要:

在高维环境中的中介分析通常涉及在大量测量变量中识别潜在的中介。为此,最近提出了一种称为ScreenMin的两步家庭错误率程序(Djordjilović et al. 2019)。在ScreenMin中,变量首先被筛选,只有那些通过筛选的变量才被测试。建议的阈值选择已被证明,以保证渐近familywise错误率。在这项工作中,我们研究了选择阈值对有限样本familywise错误率的影响。我们推导出一个功率最大化选择阈值,并表明它可以很好地近似于Wang et al.(2016)的自适应阈值。我们说明了调查程序的病例对照研究检查鱼类摄入量对结直肠腺瘤的风险的影响。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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