ANOVA Calculator

Perform a one-way ANOVA (Analysis of Variance) to compare means across three groups and determine if differences are statistically significant.

Group 1 Mean

Group 1 Sample Size

Group 2 Mean

Group 2 Sample Size

Group 3 Mean

Group 3 Sample Size

Pooled Variance (MSW)

Tab to move between fields

F-Statistic

10.58

P-Value (approx)

df Between Groups2

df Within Groups72

Mean Square Between (MSB)1,058.33

Mean Square Within (MSW)100

Grand Mean78.33

Significant at α=0.05 (1=Yes)1

How to Use This Calculator

Enter summary statistics (mean, standard deviation, and sample size) for each of the three groups being compared.
One-way ANOVA tests the null hypothesis that all group means are equal against the alternative that at least one differs.
The F-statistic = (Between-group variance) / (Within-group variance); a larger F indicates greater between-group variation relative to noise.
The approximate p-value is derived from the F-distribution with k−1 and N−k degrees of freedom (k = number of groups, N = total observations).
If p < your significance level (typically 0.05), reject the null hypothesis — at least one group mean is significantly different.
Use a post-hoc test (e.g., Tukey's HSD) after a significant ANOVA to determine which specific groups differ.

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