Consider a four-factor model with A and D fixed, each with three levels. Factors B and C are random with two levels each. B nests in A, C nests in D, and all other combinations cross. There is a total of 72 observations. Standard five questions.

These are the standard five questions

(a) Draw the Hasse diagram for this model.

(b) Determine the appropriate denominators for testing each term using the restricted model assumptions.

(c) Determine the expected mean squares for each term using the restricted model assumptions.

(d) Determine the appropriate denominators for testing each term using the unrestricted model assumptions.

(e) Determine the expected mean squares for each term using the unrestricted model assumptions.