Suppose a 3 × 3 factorial experiment is conducted with three replications. Assume that SS(Total) = 1,000. For each of the following scenarios, form an ANOVA table, conduct the appropriate tests, and interpret the results.
a. The Sum of Squares of factor A main effect [SS(A)] is 20% of SS(Total), the Sum of Squares for factor B main effect [SS(B)] is 10% of SS(Total), and the Sum of Squares for interaction [SS(AB)] is 10% of SS(Total).
b. SSL(A) is 10%, SS(B) is 10%, and SS(AB) is 50% of SS(Total).
c. SS(A) is 40%, SS(B) is 10%, and SS(AB) is 20% of SS(Total).
d. SSLA) is 40%, SS(B) is 40%, and SS(AB) is 10% of SS(Total).