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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 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 to 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

Bonferroni divides the family-wise alpha by the number of tests. Equivalently, multiply each p value by the test count and cap the result at one.

The method controls the probability of at least one type I error in the family, but can have low power when many comparisons are made.

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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