Table 1: Sources of Variance and their components.

Source of Variance	Degrees of Freedom	Observed Mean Squares	Expected Mean Squares	Denominator For F Evaluation
A	(I-1)	MSA	+JKN∙S2A+KN∙σ2B(A)+ σ 2e	MSB(A)
B(A)	I(J-1)	MSB(A)	+KN∙ σ 2B(A) + σ 2e	MSe
C	(K-1)	MSC	+IJN∙S2C+N∙ σ 2B(A)∙C + σ 2e	MSB(A)∙C
A∙C	(I-1)(K-1)	MSA∙C	+JN S2A∙C+N∙ σ 2B(A)∙C+ σ 2e	MSB(A)∙C
B(A)∙C	I(J-1)(K-1)	MSB(A)∙C	+N∙ σ 2B(A)∙C+ σ 2e	MSe
Err	IJK(N-1)	MSe	+ σ 2e	–