The control of the false discovery rate in multiple testing under dependency¶
Benjamini, & Yekutieli. (2001). The control of the false discovery rate in multiple testing under dependency. The Annals of Statistics, 29(4), 1165-1188.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Multiple Comparisons Correction
- Additional canonical references in this cluster: , ,
This sourceBenjamini Yekutieli FDR control arbitrary dependence structure.
- Additional canonical references in this cluster: , ,
Domain-specific¶
- Benjamini–Hochberg Procedure
- A large rejection set can contain many false positives while still satisfying the rate; conflating the controlled proportion with a guaranteed small count misstates what the procedure delivers. Not valid under arbitrary dependence. The bound αm₀/m ≤ α holds under independence or positive regression dependence (PRDS) of the test statistics
This sourceAbstract proving that the same step-up procedure controls the false discovery rate under positive regression dependence (PRDS) on the true nulls. Abstract reporting a conservative modification of the procedure that controls the false discovery rate under all other forms of dependency.
Supported in partVerified against the publisher's abstract
“We prove that this same procedure also controls the false discovery rate when the test statistics have positive regression dependency on each of the test statistics corresponding to the true null hypotheses.”
- A large rejection set can contain many false positives while still satisfying the rate; conflating the controlled proportion with a guaranteed small count misstates what the procedure delivers. Not valid under arbitrary dependence. The bound αm₀/m ≤ α holds under independence or positive regression dependence (PRDS) of the test statistics
Verification¶
Does it exist? Not checked yet. This work's DOI is recorded above but has not been resolved against an external catalogue, so nothing here confirms the work exists.
Does it back the claim? Read against the text for 1 of 2 citations: 1 supported in part. Each verdict is shown under its citation below, with what in the work backs the sentence.
Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
See how references were verified.
Registry ID ref:2cff0092b703 · see in the full table