Construct an artificial set of data for the nested model in Exercise 17.7 with n 11 = 2, n 12 = 3, n 21 = 1, and n 22 = 2 and use PROC GLM or a similar program to obtain the general linear form and...

Construct an artificial set of data for the nested model in Exercise 17.7 with n₁₁
= 2, n₁₂
= 3, n₂₁
= 1, and n₂₂
= 2 and use PROC GLM or a similar program to obtain the general linear form and the specific estimable functions for the sums of squares. Request the LSMEANS for A and B(A). Compare the results with your answers to Exercises 17.8 through 17.10. (It does not matter what you use for the values of the dependent variable since the estimable functions depend only on X.) Use PROC GLM to determine how SAS defines the least squares mean for the first level of factor A when cell (1,2) is empty.

Exercise 17.8

Use the general form of estimable functions in Exercise 17.7 to determine if each of the following is an estimable function. Give the choice of coefficients that generates the linear function if it is an estimable function.

Exercise 17.7

Construct the general form of estimable functions L’β for the nested model

(You need to define X for this model, eliminate any non unique rows, and then use row operations to reduce X to the “near identity” form.) You should obtain