Recall Example 14.7 with four factors such that the first two factors are crossed, the third factor is nested in the first, and the fourth is nested in the third. Assume that the first two factors are fixed with cell means 14, and that the remaining factors are random.

a. Justify the choice of the model Wijker Mi + s) + 12/3 (1) + ((1))+12((1)) high. where the last five terms are random with variances)))) any and d

b. Describe the covariance structure for this model.

c. Describe the analysis of variance table for this model, including the Kronecker product expressions for the sums of squares and the expected mean squares.

d. Construct the AVE table. Describe the relevant covariance matrices and how they are used to determine the estimates. Describe the diagnostic analysis.

c. Use the data given below, taken from Brownlee (1960), to demonstrate the AOV and AVE estimation methods and the diagnostic analysis. Note that a = 3 ==== 2.