a. Use (11.42) to write the normal equations for the over-parameterized, two- way classification model.

b. Show that sweeping on the diagonal elements in the natural order corresponds using the parameter matrix in (11.43).

e. Use the parameter matrix defined in (11.36) to transform the normal equations in part a to a full rank set. Verify the form of the coefficient matrix in (11.47).

d. Write out the matrices X. Xg, and XAS-

e. Verify that the solution of the equations in part c is given by substituting the cell means estimates, into the defining relations in (11.38).