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A-optimal designs for an additive cubic model

Author

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  • Aggrawal, Manohar
  • Singh, Poonam
  • Panda, Mahesh Kumar

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

Suggested Citation

  • Aggrawal, Manohar & Singh, Poonam & Panda, Mahesh Kumar, 2011. "A-optimal designs for an additive cubic model," Statistics & Probability Letters, Elsevier, vol. 81(2), pages 259-266, February.
    • Handle: RePEc:eee:stapro:v:81:y:2011:i:2:p:259-266
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