Answer Happy

Suppose a (32) factorial design is run in a completely randomized manner and results in the data which appear below. The data will be analyzed assuming a model of the form: Yijk = x+ai+B; + Yij + Eijk where ai is a fixed effect corresponding to rows, B; is a fixed effect corresponding to columns, Vij is a fixed effect corresponding to the interaction between rows and columns and €ijk is a random error term which is assumed to be IIDN(0,0%). Note that i = 1, 2, 3, j = 1, 2 and k = 1, 2, ... Nij. 3,3 6 8,9,10 5,7 7,8,9 9,11 (a) (b) Write the population marginal means for row 2 and column 1 and calculate estimates of these two population marginal means. Write any two linearly independent contrasts in interaction effects. State whether or not these two contrasts are orthogonal and justify your answer. Determine if a1 - 03 + Y11 + 731 – 2/32 is estimable and justify your c) answer.