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False discovery rate calculator

Paste p values from a family of tests and choose the target false discovery rate q.

Rejected hypotheses: —

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

Number of tests
—
Target FDR q
—
Largest accepted p value
—
Not rejected
—

Ranked tests

Rank Input position p Critical (i/m)q Adjusted p Rejected
Fill in the fields above — the result is computed on this page.
What these numbers mean
  • All hypotheses up to the selected rank k are rejected.
  • FDR is not the probability that a particular rejected hypothesis is false.

The standard BH procedure controls FDR under independence or certain positive dependence structures. Other dependence patterns may require Benjamini–Yekutieli or a domain-specific model.

How to use this page
  1. Paste every p value from one test family.
  2. Set the target FDR q, commonly 0.05.
  3. Read the rejection count, cutoff and adjusted p values.

What this page does not do: The standard BH procedure controls FDR under independence or certain positive dependence structures. Other dependence patterns may require Benjamini–Yekutieli or a domain-specific model.

Further reading

The Benjamini–Hochberg procedure limits the expected proportion of false discoveries among rejected hypotheses. It ranks the p values, compares them with (i/m)q and selects the largest rank that meets the condition.

Adjusted p values are calculated backwards with a monotonicity constraint, so each hypothesis can be compared directly with q.

Frequently asked questions

How does FDR differ from Bonferroni?

Bonferroni controls the risk of at least one family-wise false positive, while BH controls the expected false-discovery proportion.

Does input order matter?

It does not change the decisions. The table retains each input position so you can map results back to tests.

See also

← All calculators

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