One Way ANOVA Calculator
Enter Group 1's data as comma-separated numbers.
Enter Group 2's data as comma-separated numbers.
Enter Group 3's data as comma-separated numbers.
Your risk tolerance for a false positive. Leave blank to default to 0.05.
Your Results
How Group Means Affect ANOVA
Open either example to compare three illustrative group averages. These examples are separate from the calculator above.
Scenario A: Three groups with similar means
Group A10
Group B11
Group C10.5
Group means are close. Statistical significance still depends on within-group variability and sample size.Scenario B: Three groups with different means
Group A6
Group B10
Group C15
The means are farther apart. If within-group variability and sample sizes stay constant, greater between-group variation generally raises the F-statistic.What Does This ANOVA Result Mean?
Example: F(2, 27) = 4.25, p = .025, using a significance level of .05. Pick an interpretation and reveal feedback.
The test provides evidence that at least one group mean differs
Correct. Since .025 is below .05, reject the equal-means null hypothesis. The omnibus ANOVA does not tell us which specific groups differ.
All three group means are significantly different
Not established. A significant omnibus result only indicates that at least one population mean differs. Appropriate pairwise comparisons are needed to identify specific differences.
The observed difference must be practically important
Not necessarily. Statistical significance does not establish practical importance; consider effect size, uncertainty and context.