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ANOVA Calculator

Calculate anova instantly with our math tool. Shows detailed work, formulas used, and multiple solution methods. Free to use with no signup required.

Reviewed by Manoj Kumar, Mathematics Educator

Reviewed by Manoj Kumar, Mathematics Educator

Formula

F = MSB / MSW = (SSB/dfB) / (SSW/dfW)

ANOVA tests whether means of 3+ groups differ significantly. F = between-group variance / within-group variance. High F → significant differences.

Worked Examples

Example 1: Treatment comparison

Problem:G1:[23,25,27], G2:[30,32,28], G3:[35,37,33]

Solution:Means: 25, 30, 35. F = 50.00 → highly significant

Result:F = 50.00 (significant)

Reviewed by Manoj Kumar, Mathematics Educator · Editorial policy