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One-Way ANOVA F-Statistic from Three Group Sums Calculator

F = MSB / MSW from per-group n, Σx, Σx².

Compute the one-way ANOVA F statistic, between-group MSB, and within-group MSW for three independent samples directly from each group's n, Σx, and Σx². No raw data required. Use the F value with df₁ = k − 1 = 2 and df₂ = N − k = N − 3 to look up p in an F table.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

F = MSB / MSW; MSB = SSB / (k − 1); MSW = SSW / (N − k).

In depth

Compute the one-way ANOVA F statistic, between-group MSB, and within-group MSW for three independent samples directly from each group's n, Σx, and Σx². No raw data required. Use the F value with df₁ = k − 1 = 2 and df₂ = N − k = N − 3 to look up p in an F table.