basic

One-Way ANOVA F-Ratio from Between and Within Variance Calculator

F = MS_between / MS_within — test for group mean differences.

Calculates F-ratio = MS_between / MS_within from sum of squares between and within groups. Returns F, degrees of freedom, and critical F at α = 5%.

Nadia Almasri By Nadia Almasri
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 = SS_b/(k−1) / SS_w/(N−k) = MS_b / MS_w

In depth

Calculates F-ratio = MS_between / MS_within from sum of squares between and within groups. Returns F, degrees of freedom, and critical F at α = 5%.