8.12 Consider a 24 factorial design with ± 1 coding for the design variables. Assume that the response follows a Poisson distribution, and suppose we wish to use the log link. Assume that the true values for the coefficients in the linear predictor are ß0 = 1.5, ß\ = -1.0, ß2 = -3 , ß3 = 1.5, and β = 2.0

(a) What are the design efficiencies associated with the estimation of the four parameters?

(b) Give the values for the sixteen Hessian weights.

(c) Give the correlation matrix for the estimated parameters.