Table 3 A general two-way ANOVA table consisting of a factorial treatment structure between factors A and B
df | SS | MS | F | |
|---|---|---|---|---|
A | (tA−1) | S S A | \(\tfrac {1}{(t_{\mathrm {A}} - 1)} {SS}_{\mathrm {A}}\) | MSA/MSres |
B | (tB−1) | S S B | \(\tfrac {1}{(t_{\mathrm {B}} - 1)}{SS}_{\mathrm {B}}\) | MSB/MSres |
A:B | (tA−1)(tB−1) | S S AB | \(\tfrac {1}{(t_{\mathrm {A}} - 1)(t_{\mathrm {B}} - 1)}{SS}_{\text {AB}}\) | MSAB/MSres |
Residual | N−tAtB | S S res | \(\tfrac {1}{(N-t_{\mathrm {A}}t_{\mathrm {B}})}{SS}_{\text {res}}\) |