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math.stats-anova Calculator
Performs one-way ANOVA from group statistics (means, variances, sample sizes) and outputs the F-statistic and degrees of freedom. ANOVA tests whether any group means differ significantly — F-statistic above the critical value rejects the null hypothesis of equal means.
Inputs
K
Count of items or occurrences.
N Per
Reference formula or conversion factor shown for context.
Ss Between
Reference formula or conversion factor shown for context.
Ss Within
Reference formula or conversion factor shown for context.
Results
F statistic
The F-statistic from an ANOVA or F-test — ratio of variance between groups to variance within groups. Larger values suggest the groups differ significantly.
MS between
Sample size or count used in the calculation.
MS within
Sample size or count used in the calculation.
η² (effect size)
Standardised measure of the magnitude of the difference or relationship, independent of sample size. Cohen's d: 0.2 = small, 0.5 = medium, 0.8 = large.