Develop the analysis for the situation described in Example 14.8. In particular, Write the appropriate linear model and describe the implied covariance structure.

b. Write the mean squares for Table 14.16 in Kronecker product form and verify that (14.70) yields the expected values and matrices in Table 14.17.

Data for Example 14.11 Factor Two 1 2 Replicates Fac. 1 Fac. 3(1) Fac. 4(3(1) 212 - 1 2 -211 11 16 0 0 17 16 14 13 12 12 6 6 2 10 8 1 3 2 1 1 99 3 1 3 2 2121212 19 18 6 6 89 6 8 14 13 6 15 17 21 20 22 21 13 13 7 18 18 6 6 19 21 6 4