If you have access to SAS, use that program to analyze the data in Exercise 16.7. Add /SS1 SS2 SS3 SS4 to the end of your Model command and show that

a. Type I sums of squares adjust each term in the model only for those that come earlier in the model statement.

b. Type II sums of squares adjust main effects only for other main effect variables, while adjusting the interaction for each of the main effects.

c. Type III sums of squares adjust each term for all other terms in the model.

d. Type IV sums of squares in this case are equal to the Type II sums of squares.