ANOVA Calculator
Calculate anova using your data.
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What this tool does
Calculate anova using your data. One-way ANOVA for independent groups. It tests whether any group mean differs — not which pairs differ (that needs post-hoc tests) — and assumes roughly normal, equal-variance residuals.
How to use the ANOVA Calculator
- Enter or select groups: one group per line, numbers comma separated.
- Read the calculated result; change any measurement to compare alternatives.
Formula
one-way ANOVA: F = (SS_between/(k−1)) / (SS_within/(N−k)); p from the F distribution via the regularized beta function
- groups
- Groups: one group per line, numbers comma separated
One-way ANOVA for independent groups. It tests whether any group mean differs — not which pairs differ (that needs post-hoc tests) — and assumes roughly normal, equal-variance residuals.
Worked example
For anova calculator, the following measurements illustrate the exact method: Groups: one group per line, numbers comma separated: 1,2,3 4,5,6 7,8,9.
Inputs
- Groups: one group per line, numbers comma separated1,2,3 4,5,6 7,8,9
Result
- F statistic27
- P-value0
- Significant at 5%?Yes
Results explained
- F statistic
- F statistic from the formula above. One-way ANOVA for independent groups. It tests whether any group mean differs — not which pairs differ (that needs post-hoc tests) — and assumes roughly normal, equal-variance residuals.
- P-value
- P-value from the formula above. One-way ANOVA for independent groups. It tests whether any group mean differs — not which pairs differ (that needs post-hoc tests) — and assumes roughly normal, equal-variance residuals.
- Significant at 5%?
- Significant at 5%? from the formula above. One-way ANOVA for independent groups. It tests whether any group mean differs — not which pairs differ (that needs post-hoc tests) — and assumes roughly normal, equal-variance residuals.
Frequently asked questions
one-way ANOVA: F = (SS_between/(k−1)) / (SS_within/(N−k)); p from the F distribution via the regularized beta function
One-way ANOVA for independent groups. It tests whether any group mean differs — not which pairs differ (that needs post-hoc tests) — and assumes roughly normal, equal-variance residuals.
Enter numbers only, in the units and format each label describes. Remove missing values rather than substituting zero, unless zero is a real observation.
No. Results describe the numbers you entered. Statistical inference also depends on sampling design, independence, model fit and interpretation; a p-value is not the probability that a hypothesis is true.
No. Every calculation, including the distribution algorithms, runs entirely in your browser.