One-Way ANOVA Calculator
Compare several group means with a one-way F statistic.
How the one-way anova calculator works
One-way analysis of variance compares several independent group means by separating variability between group centers from variability inside groups. This calculator weights each group’s distance from the grand mean to obtain between-group sum of squares, calculates residual spread around each group mean, divides both by their degrees of freedom, and reports the ratio as F.
The default groups are 1 through 3, 4 through 6, and 7 through 9. Their means are 2, 5, and 8 around grand mean 5. The verified sums of squares are 54 between and 6 within; with degrees 2 and 6, the mean squares are 27 and 1, producing F equal to 27.
Reading one-way anova calculator results privately
ANOVA assumes independent observations, reasonably normal residuals within groups, and comparable variance for the classical one-way interpretation. A large F indicates that not all means fit one common center, but it does not identify which groups differ. Post-hoc comparisons and p-value corrections are separate analyses not performed by this calculator. This one-way anova calculator calculation runs entirely in your browser, so the numbers you enter never leave your device.
Frequently Asked Questions
Why not run many pairwise t-tests?
Repeated unadjusted tests inflate the chance of at least one false positive. ANOVA provides one overall comparison first.
What does a large F statistic mean?
Between-group variation is large relative to within-group variation, providing evidence that at least one mean differs.
Is the one-way anova calculator private?
Yes. Its inputs and results stay in your browser. Bushe.co does not upload or store the values used in this calculation.
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