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Friedman test calculator

Each row represents the same block or participant, and each field represents a different condition.

P-value: —

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

Blocks
—
Conditions
—
Q statistic
—
Degrees of freedom
—
Tie correction
—

Condition ranks

Condition Rank sum Mean rank
Fill in the fields above — the result is computed on this page.
What these numbers mean
  • Keep blocks in exactly the same order in every field.
  • A significant result does not yet identify the condition pairs that differ.

The p-value is a chi-square approximation. Small block counts may require an exact or permutation method, and post-hoc comparisons need multiplicity adjustment.

How to use this page
  1. Paste condition measurements in matching order.
  2. Review rank sums and mean ranks.
  3. Read Q, df and the p-value.

What this page does not do: The p-value is a chi-square approximation. Small block counts may require an exact or permutation method, and post-hoc comparisons need multiplicity adjustment.

Further reading

The Friedman test is a nonparametric comparison of at least two related conditions. It ranks observations within each block and tests whether condition rank sums differ more than expected under the null hypothesis.

The calculator corrects the statistic for tied ranks and obtains an asymptotic p-value from a chi-square distribution with k − 1 degrees of freedom.

Frequently asked questions

May conditions have different lengths?

No. Every block must have one observation in each compared condition.

What follows a significant result?

Run planned post-hoc comparisons for related data with an appropriate multiplicity correction.

See also

← All calculators

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