Work out anova two way instantly with clear inputs, formula shown and shareable results.
Two-way ANOVA partitions the variation between cell means into a row effect, a column effect and their interaction, each tested against the within-cell mean square error using an F ratio.
Row sum of squares
SS_row = reps × columns × Σ(row mean − grand mean)²
F ratio
F = (SS / df) / MSE
Whether the effect of one factor depends on the level of the other. A significant interaction means the main effects cannot be interpreted in isolation.
MSE estimates the pure random variation, so the F ratio asks whether the factor explains more than chance would.