Question: 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

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).

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a SSA 2 1000 200 SSB 1 1000 100 SSAB 1 1000 100 SSE SS Total SSA SSB SSAB 1000 200 100 100 600 SST SSA SSB SSAB 200 100 100 400 MSA SSA a 1 200 3 1 100 F A MSAMSE 100333333 300 F B MSBMSE 5033333 150 ... View full answer

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