Optimum Designs for a Multiresponse Regression Model

Exact n-point designs are given which are D-optimum for a simple multiresponse model, where the individual response variables can be represented by first-order and second-order models. The present results complement recent findings by Krafft and Schaefer, who obtained D-optimum n-point designs for several values of n. Furthermore, a conjecture on G-optimum n-point designs is given and the conjecture is proved for the simplest non-trivial case, that is, for n=4.