The D-optimal design of blocked experiments with mixture components

Goos, Peter and Donev, Alex (2006) The D-optimal design of blocked experiments with mixture components. Journal of Quality Technology, 38 (4). pp. 319-332. ISSN 0020-0255

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Abstract

So far, the optimal design of blocked experiments involving mixture components has received scant attention in the literature. This paper describes the algorithmic approach to designing such experiments. For constrained and unconstrained experimental regions, the resulting experimental designs are shown to be statistically much more efficient than the orthogonally blocked design options presented in the literature. As an alternative to the algorithmic approach, a simple two-stage procedure to construct highly efficient blocked mixture experiments for unconstrained design regions in the presence of fixed and/or random blocks is presented. Finally, the similarities and differences between the design of blocked mixture experiments and mixture experiments in the presence of qualitative process variables are discussed in detail.

Item Type:	Article
Uncontrolled Keywords:	Fixed and Random Blocks; Minimum-Support Design; Mixture Experiment; Orthogonal Blocking; Process Variables; Qualitative Variables.
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 62 Statistics
Depositing User:	Ms Lucy van Russelt
Date Deposited:	21 Nov 2007
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/946

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