Optimal designs for mixture models with amount constraints

Chongqi Zhang and Weng Kee Wong

Statistics & Probability Letters, 2013, vol. 83, issue 1, 196-202

Abstract: Optimal designs for mixture experiments defined on the regular simplex are widely available but a lot fewer optimal designs are available for mixture experiments defined on the q-dimensional design space: S∗q={(z1,…,zq)′∈Rq|z1+⋯+zq≤1,zi≥0,i=1,…,q}. This paper proposes a flexible class of models for mixture experiments defined on S∗q and gives a simple method for finding D and A-optimal designs for the models using optimal designs available for the mixture experiments defined on the regular simplex.

Keywords: A-optimal design; Budget constraint; D-optimal design; Mixture-amount model; Model intercept (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2012.08.029

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