MINIMAX OPTIMAL DESIGNS IN NONLINEAR-REGRESSION MODELS

We consider the maximum variance optimality criterion of Elfving (1959 ) in the context of (nonlinear) response models, Some practical guidel ines for the construction of minimax optimal designs are given. In som e cases this criterion yields one point designs as a consequence of di fferent scales of the elements in the Fisher information matrix. As an alternative a ''standardized'' maximum variance criterion is introduc ed and applied to the calculation of efficient designs. The results ar e illustrated for binary response models and it is demonstrated that i n these models standardized minimax optimality should be preferred to ordinary minimax optimality.