Abstract
Chan et al. (1998a) obtained A-optimal designs for an additive quadratic mixture model for q ≥ 3 mixture components. In this paper, we obtain the A-optimal designs for an additive cubic model for q ≥ 3 mixture components using the class of symmetric weighted centroid designs based on barycentres of various depths. We observe that barycentres of depths 0 and 2 are possible support points for an A-optimal design. We have also given the optimal weights of A-optimal designs for 3 ≤ q ≤ 17 .
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