Statistics
ANOVA Calculator
Compare group means using a one-way ANOVA to produce the F statistic and associated p-value.
anovaf-testvariance analysis
One-way ANOVA
Provide each group on its own line to test for mean differences.
F statistic
23.4706
Degrees of freedom (between, within)
2, 6
MS between
44.3333
MS within
1.8889
p-value
0.001456
F statistic
F = MS_between / MS_within
The calculator partitions sums of squares into between- and within-group components, then evaluates the F distribution for the reported degrees of freedom.
How to use
- Enter each group on its own line with comma-separated values.
- Ensure each group contains at least two observations.
- Review SS, MS, degrees of freedom, F statistic, and p-value.
Example
Input: Groups = {12,14,15} / {18,17,19} / {21,20,23}
Output: F ≈ 16.5, p ≈ 0.003
FAQ & notes
Does it support post-hoc tests?
This panel focuses on the omnibus F test. Export the group summaries to apply your preferred post-hoc comparison.
Can I mix group sizes?
Yes. Unequal group sizes are supported as long as each group has at least two observations.