20%) 2. Consider a 2 full factorial design with 2 replications as displayed in the Table. A R Y1 כץ Average -1 -1 5 3 4

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20%) 2. Consider a 2 full factorial design with 2 replications as displayed in the Table. A R Y1 כץ Average -1 -1 5 3 4 1 -1 7 11 9 -1 1 6 8 7 19 17 18 a. Estimate the main effect B and the interaction effect AB. b. Fill out the following matrices constructed according to the algebraic breakdown of the observation matrix. Observation Mean Tau(A) Tau(B) Tau(AB) 3 Error 5 7 11 6 8 19 17 c. Compute the sum of squares using the matrices in part b. d. Fill out the ANOVA table. Draw your conclusions using the tabulated F value F(5%, 1, 4)-7.71 Source of Var. S.Sq. Dof M.Sq. F-Ratio Mean A B AB Error Total