Goos, P. and Donev, A.N. (2005) Blocking response surface designs. Computational Statistics and Data Analysis, 51 (2). pp. 1075-1088. ISSN 0167-9473
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Abstract
The design of experiments involving more than one blocking factor and quantitative explanatory variables is discussed, the focus being on two key aspects of blocked response surface designs: optimality and orthogonality. First, conditions for orthogonally blocked experiments are derived. Next, an algorithmic approach to compute D-optimal designs is presented. Finally, the relationships between design optimality and orthogonality in the context of response surface experiments are discussed in detail.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Exchange algorithm; D-optimality; Fixed blocks; Random blocks; Orthogonality |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 62 Statistics |
| Depositing User: | Ms Lucy van Russelt |
| Date Deposited: | 19 Nov 2007 |
| Last Modified: | 20 Oct 2017 14:12 |
| URI: | http://eprints.maths.manchester.ac.uk/id/eprint/899 |
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