One-Way ANOVA
Calculate One-Way ANOVA instantly with the exact formula and a worked example.
One-Way ANOVA
n₁
x̄₁
SD₁
n₂
x̄₂
SD₂
n₃
x̄₃
SD₃
F statistic
10
p-value
< 0.001
df
2, 27
η²
0.426
Conclusion at α = 0.05
Difference is significant
More about: One-Way ANOVA
What it calculates
The “One-Way ANOVA” calculator computes F statistic from 9 parameters: n₁, x̄₁, sd₁, n₂, x̄₂, sd₂, n₃, x̄₃, sd₃.
A core calculation for studying, engineering tasks, and checking solutions.
Example calculation
With parameters n₁ = 10, x̄₁ = 5, SD₁ = 1, n₂ = 10, x̄₂ = 6, SD₂ = 1, n₃ = 10, x̄₃ = 7, SD₃ = 1 the result is 10 (Three groups, from summary data (n, mean, SD)).
How to use
- Enter n₁, x̄₁, sd₁, n₂, x̄₂, sd₂, n₃, x̄₃ and sd₃ — each field above is adjustable with a slider.
- F 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 One-Way ANOVA calculated?
The One-Way ANOVA calculator computes F statistic from n₁, x̄₁, sd₁, n₂, x̄₂, sd₂, n₃, x̄₃, sd₃. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the One-Way ANOVA 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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