Abstract
In a mixture experiment, the response depends on the proportions of the mixing components. Canonical models of different degrees and also other models have been suggested to represent the mean response. Optimum designs for estimation of the parameters of the models have been investigated by different authors. In most cases, the optimum design includes the vertex points of the simplex as support points of the design, which are not mixture combinations in the true non-trivial sense. In this paper, optimum designs have been obtained when the experimental region is an ellipsoidal subspace of the entire factor space which does not cover the vertex points of the simplex.
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Acknowledgments
The authors thank the anonymous referees for their fruitful suggestions, which immensely helped to improve the presentation of the paper. The authors also acknowledge with thanks the support received from their UPE project under Calcutta University.
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Mandal, N.K., Pal, M., Sinha, B.K. et al. Optimum mixture designs in a restricted region. Stat Papers 56, 105–119 (2015). https://doi.org/10.1007/s00362-013-0568-0
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DOI: https://doi.org/10.1007/s00362-013-0568-0