Optimum mixture designs in a restricted region

Nripes Mandal (), Manisha Pal, Bikas Sinha and Premadhis Das

Statistical Papers, 2015, vol. 56, issue 1, 105-119

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. Copyright Springer-Verlag Berlin Heidelberg 2015

Keywords: Mixture experiments; Restricted experimental region; Optimum designs; 62K99; 62J05 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s00362-013-0568-0

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