Kruskal-Wallis
Calculate Kruskal-Wallis instantly with the exact formula and a worked example.
Kruskal-Wallis
n₁
Rank sum R₁
n₂
Rank sum R₂
n₃
Rank sum R₃
H statistic
8
p-value
0.0183
df
2
Conclusion at α = 0.05
Difference is significant
More about: Kruskal-Wallis
What it calculates
The “Kruskal-Wallis” calculator computes H statistic from 6 parameters: n₁, rank sum r₁, n₂, rank sum r₂, n₃, rank sum r₃.
A core calculation for studying, engineering tasks, and checking solutions.
Example calculation
With parameters n₁ = 5, Rank sum R₁ = 20, n₂ = 5, Rank sum R₂ = 40, n₃ = 5, Rank sum R₃ = 60 the result is 8 (Rank all observations together (1 = smallest), then sum the ranks of each group).
How to use
- Enter n₁, rank sum r₁, n₂, rank sum r₂, n₃ and rank sum r₃ — each field above is adjustable with a slider.
- H statistic is calculated automatically as you type.
- Check the worked example below to see the formula applied to real numbers.
- Copy the result or bookmark this calculator.
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FAQ
How is Kruskal-Wallis calculated?
The Kruskal-Wallis calculator computes H statistic from n₁, rank sum r₁, n₂, rank sum r₂, n₃, rank sum r₃. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Kruskal-Wallis calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.
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