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Bonferroni correction calculator

Paste p values from one test family and enter the family-wise alpha level.

Rejected hypotheses: —

Fill in the fields above — the result is computed on this page.

Number of tests
—
Family-wise alpha
—
Alpha/m threshold
—
Not rejected
—

Corrected tests

Test p Adjusted p Threshold Rejected
Fill in the fields above — the result is computed on this page.
What do these numbers mean?
  • Combine tests that belong to the same logical family.
  • Compare adjusted p with the original alpha, or raw p with alpha/m.

Bonferroni is conservative, especially with many dependent tests. If the goal is to control the false-discovery proportion, consider an FDR procedure.

How do I use this page?
  1. Paste all p values.
  2. Enter family-wise alpha.
  3. Read the threshold, adjusted p values and decisions.

What this page does not do: Bonferroni is conservative, especially with many dependent tests. If the goal is to control the false-discovery proportion, consider an FDR procedure.

Further reading

Theory — what is the Bonferroni correction?

The Bonferroni correction divides the chosen family-wise alpha level by the number of tests performed in a given comparison family. Equivalently, each p value can be multiplied by the number of tests and capped at 1 — both approaches lead to the same significance conclusion. The method controls the probability of making at least one type I error across the whole family of tests, which makes it quite conservative when many comparisons are involved. The result does not depend on the order in which p values are entered.

Frequently asked questions

Does p-value order matter?
No. Every p value is multiplied by the same number of tests.
When should I use FDR instead?
When a controlled false-discovery proportion is acceptable and higher power matters.

See also

← All calculators

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