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	$\frac{1}{(t_{\mathrm{A}}-1)}{\mathit{\text{SS}}}_{\mathrm{A}}$	MSA/MSres
B	(tB−1)	S S B	$\frac{1}{(t_{\mathrm{B}}-1)}{\mathit{\text{SS}}}_{\mathrm{B}}$	MSB/MSres
A:B	(tA−1)(tB−1)	S S AB	$\frac{1}{(t_{\mathrm{A}}-1)(t_{\mathrm{B}}-1)}{\mathit{\text{SS}}}_{\text{AB}}$	MSAB/MSres
Residual	N−tAtB	S S res	$\frac{1}{(N-t_{\mathrm{A}}{t}_{\mathrm{B}})}{\mathit{\text{SS}}}_{\text{res}}$