A-optimal designs for an additive cubic model
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. © 2010 Elsevier B.V.
Statistics and Probability Letters
Aggrawal, M., Singh, P., & Panda, M. (2011). A-optimal designs for an additive cubic model. Statistics and Probability Letters, 81 (2), 259-266. https://doi.org/10.1016/j.spl.2010.10.008