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Calculators/Statistics/One-way ANOVA (F-statistic)
Statistics

One-way ANOVA (F-statistic) calculator

Tests whether three or more group means differ, from the raw data in each group.

What this calculator does

One-way ANOVA (F-statistic) works out tests whether three or more group means differ, from the raw data in each group. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

FormulaF = MSB/MSW; MSB = SSB/(k−1); MSW = SSW/(N−k); SSB = Σnᵢ(x̄ᵢ−x̄)²; SSW = ΣΣ(xᵢⱼ−x̄ᵢ)²

The inputs explained

FieldWhat to enter
Groups, separated by ; (values comma separated within each)A list of numbers, separated by commas or spaces.