Designing experiments with respect to ‘standardized’ optimality criteria. (English) Zbl 0884.62081
Summary: We introduce a new class of ‘standardized’ optimality criteria which depend on ‘standardized’ covariances of the least squares estimators and provide an alternative to the commonly used criteria in design theory. Besides a nice statistical interpretation the new criteria satisfy an extremely useful invariance property which allows an easy calculation of optimal designs on many linearly transformed design spaces.