85 Suppose a 3 * 3 factorial experiment is conducted with three replications. Assume that SS(Total) =
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85 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 of factor B main effect [SS( B )] is 10% of SS(Total), and the sum of squares of interaction [SS( AB )] is 10% of SS(Total).
b. SS( 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. SS( A ) is 40%, SS( B ) is 40%, and SS( AB ) is 10% of SS(Total).
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