In this paper efficient designs are determined when Anderson's procedure is applied in order to identify the degree of a multivariate polynomial regression model. It is shown that the optimal designs are very closely related to model robust designs which maximize a weighted p-mean of D-efficiencies. As a consequence we obtain designs with high efficiency for model discrimination and for the statistical analysis in the identified model.
"Optimal discrimination designs for multifactor experiments." Ann. Statist. 25 (3) 1161 - 1175, June 1997. https://doi.org/10.1214/aos/1069362742