A combinatorial procedure for constructing D-optimal exact designs

ONUKOGU, IKE BASIL; Department Of Statistics-University Of Nigeria, Nsukka Enugu State & IWUNDU, MARY PASCAL; Department Of Mathematics/Statistics- University Of Port-Harcourt Rivers State
The basic problem considered in this paper may be stated as follows: find an N-point exact design measure which maximizes the determinant of the information matrix of a given response function. The combinatorial algorithm introduced in the paper reaches the global D-optimal design quite rapidly and a comparison against the variance exchange algorithm is indicated.