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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...
Summary Draper and Pukelsheim (1998) introduced K-models for mixture experiments. These are symmetric, compact in notation and are based on the Kronecker algebra of vectors and matrices. In this paper, we have obtained D- and V-optimal designs based on weighted simplex centroid design for second degree K-model for mixture experiments.
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