a. For the unbalanced, one-way classification model, write the design matrix WX,P for each of the two transformed models defined by (10.52) and (10.54) for the case p = 4.

b. Develop the transformation matrix for the parameterization suggested by (10.61). That is, define a " and a,,-, for i=1,.., (p-1) with defined in (10.64). Determine the parameter matrix and write the model in both algebraic and matrix form. Note that the new parameters depend on the cell frequencies.

e. Write the normal equations in matrix form for each of these three parameter matrices. Determine the solution in each case and verify the result from the estimates of the cell means.