Tabella ANOVA

Statistiche principali

Decomposizione della varianza

$$SS_{tot} = \sum_{i=1}^n (y_i - \bar{y})^2$$ $$SS_{between} = \sum_{g=1}^G n_g (\bar{y}_g - \bar{y})^2$$ $$SS_{within} = \sum_{g=1}^G \sum_{i=1}^{n_g} (y_{ig} - \bar{y}_g)^2$$ $$SS_{tot} = SS_{between} + SS_{within}$$ **Gradi di libertà:** $$df_{between} = G - 1, \quad df_{within} = N - G, \quad df_{tot} = N - 1$$ **Mean Squares:** $$MS_{between} = \frac{SS_{between}}{df_{between}}, \quad MS_{within} = \frac{SS_{within}}{df_{within}}$$ **Statistica F:** $$F = \frac{MS_{between}}{MS_{within}}$$ **p-value:** $$Pr(>F) = P\big(F_{df_{between}, df_{within}} \geq F\big)$$

Valori calcolati