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math.analysis-of-variance Calculator
Performs one-way ANOVA from raw group data, computing the F-statistic, between-group and within-group variance, and degrees of freedom. A significant F-test (p < 0.05) means at least one group mean differs — post-hoc tests identify which pairs.
Inputs
Group1 Mean
Arithmetic average. Sensitive to outliers — if your data has extreme values, the median may be more representative.
Group2 Mean
Arithmetic average. Sensitive to outliers — if your data has extreme values, the median may be more representative.
Group3 Mean
Arithmetic average. Sensitive to outliers — if your data has extreme values, the median may be more representative.
Within Group Variance
The square of standard deviation. Less intuitive than SD (units are squared), but used in many statistical formulas.
N Per Group
Reference formula or conversion factor shown for context.
Results
F-statistic
The value at the specified point or condition.
MSB (between groups)
Sample size or count used in the calculation.
MSW (within groups)
Sample size or count used in the calculation.
critical value F(2,27) α=0.05
The threshold the test statistic must exceed to reject the null hypothesis at the chosen significance level.