A note on -optimal designs for multiresponse models

This paper considers the optimal design problem for multiresponse regression models. The -optimality introduced by Dette (J R Stat Soc B 59:97-110, 1997) for single response experiments is extended to the case of multiresponse parameter estimation. A general equivalence theorem for the -optimality is provided for multiresponse models. Illustrative examples of the -optimal designs for two multiresponse models are presented based on the general equivalence theorem.