The sequential generation of multiresponse d-optimal designs when the variance-covariance matrix is not known

The construction of Doptimal designs for multiresponse experiments was consideredby Fedorov (1972, Ch. 5). His algorithm required that the variance-covariance matrix, £, of the responses be known. This is rarely the case in practice. The primary objective of this paper isto develop a sequential procedure for the construction of multiresponse designs when £ is not known. Several numerical examples are given to illustrate this procedure