Optimal designs in growth curve models - II Correlated model for quadratic growth: optimal designs for parameter estimation and growth prediction

This is a follow up of a recent paper on the study of the optimality aspects of linear growth models with correlated errors. In this paper, we examine optimality aspects of quadratic growth models with correlated errors and provide optimal designs for parameter estimation and growth prediction. In the former case we examine A-, D-and E-optimal designs and in the latter case we examine A-optimal designs, under two different correlation structures. In the process: we also examine the robustness of optimal designs with respect to the values of the correlation coefficient. (C) 1998 Elsevier Science B.V. All rights reserved.