Tailor-made split-plot designs for mixture and process variables

Goos, Peter and Donev, Alex (2007) Tailor-made split-plot designs for mixture and process variables. Journal of Quality Technology, 39 (4). pp. 326-339. ISSN 0020-0255

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The design of efficient small experiments involving mixture variables and process variables is a difficult problem. An additional complication is that such experiments are often conducted using split-plot designs and therefore lead to correlated observations. The present article demonstrates how algorithmic search can be used for constructing efficient tailor-made split-plot mixture-process variable designs, when there may be constraints on the mixture components. The D-optimality criterion is used as the main design criterion. The article also shows how to construct efficient split-plot mixture-process variable designs when replication is required for independently estimating the variance components in the split-plot model. It is argued that it is better to spread the replications over different points of the design than to concentrate them in the center.

Item Type: Article
Uncontrolled Keywords: A-Optimality; D-Optimality; G-Optimality; Mixture Experiment; Pure Error Estimation; Replication; Response-Surface Designs, Split-Plot Experiment; V-Optimality.
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: http://eprints.maths.manchester.ac.uk/id/eprint/945

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