Kriskal-Wallis H Test Calculator

Kruskal-Wallis H Test Calculator

Kruskal-Wallis H Test Calculator

Instructions:

  1. Paste your data into the box below (include headers).
  2. Click "Load Data" and then select the appropriate columns.
  3. Select **one** Grouping Variable and **one or more** Dependent Variables.
  4. Click "Run Analysis" to get the results.

Formula Used

The Kruskal-Wallis H test is performed here. The primary formula is:

Kruskal-Wallis H Statistic:

H = [(12 / N(N+1)) * Σ(Ri²/ni)] - 3(N+1)

For data with ties, a **correction factor (C)** is applied:

C = 1 - [Σ(t3 - t) / (N3 - N)]

The corrected statistic is then **Hcorrected = H / C**, and this is the value reported as the Chi-Square statistic.

Where:
N = Total number of observations across all groups.
ni = Number of observations in group 'i'.
Ri = Sum of the ranks for group 'i'.
t = Number of tied observations for a given rank.


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