A-optimal designs for an additive cubic model

Manohar Aggrawal, Poonam Singh and Mahesh Kumar Panda

Statistics & Probability Letters, 2011, vol. 81, issue 2, 259-266

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

Keywords: Additive; mixture; model; A-optimal; design; Symmetric; weighted; centroid; design; Barycentre; Mixture; component (search for similar items in EconPapers)
Date: 2011
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