stats
One-Way ANOVA
Full ANOVA table: SS, df, MS, F-statistic, p-value, η², group means — dot plot by group.
Groups3 / 8
ANOVA Table
| Source | SS | df | MS | F |
|---|---|---|---|---|
| Between | — | — | — | — |
| Within | — | — | — | |
| Total | — | — | ||
F-statistic—
p-value—
Grand mean x̄—
η² (eta squared)—
Conclusion α = 0.05—
F = MS_between / MS_within · η² = SS_between / SS_total
p via F-distribution: P(F > f) = 1 − I_x(df₁/2, df₂/2)
where x = df₁·f/(df₁·f + df₂). Reliable for df ≤ ~100.
where x = df₁·f/(df₁·f + df₂). Reliable for df ≤ ~100.