Statistics · Hypothesis testing

Friedman Test Calculator

Compare three or more related conditions using within-subject ranks.

Statistics · Hypothesis testing

Enter your statistical inputs

Private in-browser calculation · explicit assumptions

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Statistics result

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Quick guide

How to use this calculator

  1. Enter the observations, probabilities, model parameters, or summary statistics requested by the visible labels.
  2. Keep every value on the same scale and confirm that the selected sampling relationship, distribution, and tail convention match the question you are investigating.
  3. Read the result together with its assumptions and interpretation. Statistical output summarizes uncertainty under a model; it does not repair biased data or establish causation.

Calculation method

How the friedman test calculator works

Q=[12/(nk(k+1))]ΣRj²−3n(k+1), with tie correction.

The omnibus result indicates some condition difference and requires multiplicity-aware paired follow-up.

Worked example

Friedman Test example

Each subject row is ranked internally so stable between-subject levels do not dominate the comparison.

Q=[12/(nk(k+1))]ΣRj²−3n(k+1), with tie correction.

Supported inputs

Precision and limits

Model and design

Rows are independent complete blocks, columns are related conditions, and measurements are at least ordinal.

Input scope

Category lists accept up to 10,000 nonblank observations and render up to 200 distinct labels. Matching trims outer whitespace but remains case-sensitive; no numeric ordering or distance is inferred.

Interpretation

The omnibus result indicates some condition difference and requires multiplicity-aware paired follow-up.

Decision boundary

The calculator does not validate how data were collected, diagnose dependence or bias, choose a scientifically meaningful effect, or replace review by a qualified statistician for consequential research, medical, regulatory, safety, or policy decisions.

Privacy

Entered values and calculated results stay in this browser and are not sent to an analytics service.

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