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Bonferroni Correction Calculator

Adjust a significance threshold and one p-value for a family of multiple tests. Enter probabilities from 0 to 1.

Per-test threshold

0.0050000000
Adjusted p-value
0.0300000000

Formula

Per-test threshold = α/m; adjusted p = min(1, mp).

Per-test threshold ≈ (0.05)÷(10) · Adjusted p-value ≈ min(1,(0.003)×(10))

How to use

  1. Enter the family significance level α.
  2. Enter all m tests in the family and one raw p-value.
  3. Compare raw p with α/m, or adjusted p with α.

Examples

  • α = 0.05, m = 10, p = 0.003 give threshold 0.005 and adjusted p = 0.03.

Frequently asked questions

Must tests be independent?

No. The union bound controls familywise error even with dependent tests.

Why cap adjusted p at 1?

An adjusted p-value cannot exceed 1.

Which tests count?

Include the entire planned family, not only significant results.

Sources

Updated:

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