Model: Y ~ 1 + A + B + C + A*B + A*C + B*C + A*B*C
Type I - A partitioning of the model sum of squares into component sums of squares due to each variable or interaction as it is added sequentially to the model in the order prescribed by the MODEL statement.
ex) Type I sum of square for A*C is SS(A*C : A, B, C, A*B)
Type II - the increase in the model sum of squares due to adding the particular variable or interaction to a model that already contains all the other variables and interactions in the MODEL statement which do not notationally contain the particular variable or interaction.
ex) Type II sum of square for A*C is SS(A*C : A, B, C, A*B, B*C)
Type III - the increase in the model sum of squares due to adding the particular variable or interaction to a model that contains all the other variables and interactions listed in the MODEL statement.
ex) Type III sum of square for A*C is SS(A*C : A, B, C, A*B, B*C, A*B*C)
Type IV - In case there are empty cell, Type IV sums of squares are recommended. If there is no empty cell, Type IV = Type III
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