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Adaptive procedures for directional false discovery rate control

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Dennis Leung, Ninh Tran

Methodology · Submitted 15 Jan 2022

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim 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.

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arXiv ID2201.05828 (version 3)
Pith IDLHKWUANN, Pith's permanent record of this paper and its review
CitationDennis Leung, Ninh Tran. "Adaptive procedures for directional false discovery rate control." arXiv:2201.05828 (2022). https://pith.science/paper/LHKWUANN
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arXiv listing abstract v3. Results and the main claim are underlined; .

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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#sentencerolethe authors' own workstates the main conclusionstrength
s0 In multiple hypothesis testing, it is well known that adaptive procedures can enhance power via incorporating information about the number of true nulls present. background 1.00 0.04 0.04 asserted 0.99
s1 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. result 0.91 0.92 0.72 asserted 1.00
s2 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. interpretation 1.00 0.16 0.18 asserted 0.58

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Original abstract

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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