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Updated 2026-03-07 UTC
Holm–Bonferroni Method — Step‑Down Multiple Comparisons — GetCalcMaster
Holm–Bonferroni step‑down procedure for controlling FWER. Less conservative than Bonferroni while remaining easy to apply.
Holm–Bonferroni controls the family-wise error rate (FWER) like Bonferroni, but is less conservative by using a step‑down procedure on sorted p-values.
Important: Educational. For large m and exploratory settings, consider FDR methods.
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 FWER
- Uniformly more powerful than plain Bonferroni
- Simple algorithm based on sorted p-values
Formula
Compare p(i) to α / (m - i + 1) in ascending order (step‑down).Quick examples
With m=5 and α=0.05, the thresholds are 0.01, 0.0125, 0.0167, 0.025, 0.05 for i=1..5.Early small p-values get stricter thresholds; later ones get looser thresholds than Bonferroni.
How to use it (quick steps)
- Sort p-values ascending: p(1) ≤ p(2) ≤ … ≤ p(m).
- For i=1..m, compare p(i) to α/(m−i+1).
- Find the first i where p(i) > α/(m−i+1); fail to reject that and all larger p-values.
- Report Holm-adjusted results and the number of tests m.
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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.