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math.anova-f-test Calculator
Calculates the ANOVA F-test statistic from group summary statistics and interprets the result against critical values. One-way ANOVA is the generalisation of the t-test to three or more groups — it controls the family-wise type I error rate.
Inputs
Mean1
Arithmetic average. Sensitive to outliers — if your data has extreme values, the median may be more representative.
Mean2
Arithmetic average. Sensitive to outliers — if your data has extreme values, the median may be more representative.
Mean3
Arithmetic average. Sensitive to outliers — if your data has extreme values, the median may be more representative.
Variance Within
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 F-statistic from an ANOVA or F-test — ratio of variance between groups to variance within groups. Larger values suggest the groups differ significantly.