论文标题

定向错误发现率控制的自适应程序

Adaptive procedures for directional false discovery rate control

论文作者

Leung, Dennis, Tran, Ninh

论文摘要

在多个假设检验中,众所周知,自适应程序可以通过结合有关存在的真实数量的信息来增强功率。在独立性下,我们确定两个自适应错误发现率(FDR)方法在增强符号声明后,还提供了方向性的错误发现率(FDR $ _ \ text {dir} $)控制在很强的意义上。这样的FDR $ _ \ text {dir} $控制属性具有吸引力,因为自适应过程具有最大的潜力,当基础参数配置几乎没有包含真正的nulls时,这是FDR $ _ \ text {dir} $比FDR更有意义地控制FDR。

In multiple hypothesis testing, it is well known that adaptive procedures can enhance power via incorporating information about the number of true nulls present. Under independence, we establish that two adaptive false discovery rate (FDR) methods, upon augmenting sign declarations, also offer directional false discovery rate (FDR$_\text{dir}$) control in the strong sense. Such FDR$_\text{dir}$ controlling properties are appealing because adaptive procedures have the greatest potential to reap substantial gain in power when the underlying parameter configurations contain little to no true nulls, which are precisely settings where the FDR$_\text{dir}$ is an arguably more meaningful error rate to be controlled than the FDR.

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