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Updated 2026-03-07 UTC
Benjamini–Hochberg Procedure (FDR) — GetCalcMaster
Benjamini–Hochberg (BH) procedure controls false discovery rate (FDR). Step-by-step instructions and threshold rule p(i) ≤ (i/m)·q.
Benjamini–Hochberg (BH) controls the false discovery rate (FDR): the expected fraction of false positives among the discoveries. It’s common in exploratory, high‑dimensional testing.
Important: Educational. For complex dependence structures, consult field-specific guidance.
What this calculator is
The Statistics Calculator is an interactive tool inside GetCalcMaster. It’s designed to help you explore scenarios, understand formulas, and document assumptions.
Key features
- Controls FDR at level q
- Often much less conservative than Bonferroni/Holm
- Simple threshold rule after sorting p-values
Formula
Find max i with p(i) ≤ (i/m)·q; reject tests 1..i.Quick examples
With m=100 tests and q=0.05, the i=10 threshold is (10/100)*0.05=0.005.BH often yields more rejections than Bonferroni when many small p-values exist.
How to use it (quick steps)
- Sort p-values ascending: p(1) ≤ … ≤ p(m).
- Choose q (target FDR, e.g., 0.05).
- Find the largest i such that p(i) ≤ (i/m)·q.
- Reject all hypotheses with p ≤ p(i) (the BH cutoff).
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FAQ
Is this calculator official?
No. GetCalcMaster provides educational estimates and learning tools. Always verify against official definitions, documents, or professional advice.
Do you store my inputs on the server?
No. Calculations run locally in your browser. Optional remember/restore features (if enabled) use local browser storage.
Tip: For reproducible work, save your inputs and reasoning in Notebook.