Friedman Test Calculator
Compare three or more related measurements without assuming normality, the rank-based alternative to repeated measures ANOVA.
Updated · By Bibin XavierData 24 × 5
| Patienttext · 24 levels | Week_0numeric | Week_4numeric | Week_8numeric | Week_12numeric |
|---|---|---|---|---|
| P01 | 10 | 8.5 | 8.4 | 7.9 |
| P02 | 7.7 | 6.3 | 5.3 | 7.1 |
| P03 | 9 | 7 | 6.7 | 7.7 |
| P04 | 6.7 | 5.7 | 4.8 | 3.3 |
| P05 | 8.7 | 6.7 | 7.5 | 6.2 |
| P06 | 6.8 | 4.9 | 3.5 | 5 |
| P07 | 8.2 | 7.3 | 4.8 | 6.4 |
| P08 | 7.8 | 6 | 5.9 | 4.8 |
Variables and options
Results
24 rows · example dataRanks
| Condition | Median | Mean rank |
|---|---|---|
| Week_0 | 7.00 | 3.96 |
| Week_4 | 5.85 | 2.50 |
| Week_8 | 5.35 | 1.77 |
| Week_12 | 5.00 | 1.77 |
Test statistics
| n | χ² | df | p | Kendall’s W |
|---|---|---|---|---|
| 24 | 46.13 | 3 | < .001 | .641 |
Post-hoc Wilcoxon tests
| Comparison | z | p | pBonf |
|---|---|---|---|
| Week_0 − Week_4 | 4.24 | < .001 | < .001 |
| Week_0 − Week_8 | 4.27 | < .001 | < .001 |
| Week_0 − Week_12 | 4.27 | < .001 | < .001 |
| Week_4 − Week_8 | 2.29 | .022 | .133 |
| Week_4 − Week_12 | 2.56 | .010 | .063 |
| Week_8 − Week_12 | 0.58 | .563 | 1.000 |
Mean ranks
Interpretation
Scores differed significantly across conditions, with Kendall’s W = .641 (strong agreement in rank order).
How to cite this tool
Using these results in a thesis, journal article, report or class assignment? Please cite this free tool so others can find it. It keeps the site free.
APA 7
Xavier, B. (2026). Friedman Test Calculator [Web application]. FreeStatisticalTools.com. https://freestatisticaltools.com/friedman-test-calculator/
BibTeX
@software{xavier_friedmantest_2026,
author = {Xavier, Bibin},
title = {Friedman Test Calculator},
publisher = {FreeStatisticalTools.com},
year = {2026},
url = {https://freestatisticaltools.com/friedman-test-calculator/},
note = {Web application}
}Suggested sentence for your methods section: “The analysis was carried out with the free Friedman Test Calculator tool on FreeStatisticalTools.com (Xavier, 2026).”
What is the Friedman test?
The Friedman test compares three or more related measurements using ranks within each participant. It is the nonparametric alternative to repeated measures ANOVA.
When to use the Friedman test
Use it for three or more related measurements of an ordinal outcome, or when repeated measures ANOVA assumptions fail.
How to set up your data
Wide format, one column per condition.
How to use this tool
- Enter your data. Paste columns from Excel, Google Sheets or SPSS with variable names in the first row, or upload a CSV or Excel file. The example data shows the expected layout.
- Choose the variables. Select the conditions.
- Read the results. Results update automatically. Read the plain-English interpretation, then use Copy table to paste APA-style tables into Word and Copy for the results sentence.
How to report the Friedman test in APA style
“χ²(3) = 52.1, p < .001, W = .72.”
Frequently asked questions
When should I use the Friedman test?
Use it when the same participants are measured three or more times on an ordinal scale, or when repeated measures ANOVA assumptions fail.
What is Kendall’s W?
Kendall’s coefficient of concordance is the effect size for the Friedman test. It ranges from 0 (no agreement in rank order) to 1 (complete agreement).
Which post-hoc test is used?
Pairwise Wilcoxon signed-rank tests with a Bonferroni correction.
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