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Further properties of mixture designs for five components in orthogonal blocks.

Further properties of mixture designs for five components in orthogonal blocks.
Further properties of mixture designs for five components in orthogonal blocks.
Orthogonally blocked experimental designs for mixtures of five ingredients, formed from Latin squares, were previously discussed by Prescott et al. Here, we extend this development by studying the properties of three classes of possible designs, with recommendations on their practical application. Restrictions on the design classes are explored and D-optimal (within the classes) versions are identified. Remarks on general D-optimality conclude the paper.
0266-4763
147-156
Prescott, P.
cf0adfdd-989b-4f15-9e60-ef85eed817b2
Draper, N.R.
3367284a-c1c1-45b9-94d0-bcd7eff980be
Lewis, S.M.
a69a3245-8c19-41c6-bf46-0b3b02d83cb8
Dean, A.M.
9c90540a-cdf4-44ce-9d34-6b7b495a1ea3
Prescott, P.
cf0adfdd-989b-4f15-9e60-ef85eed817b2
Draper, N.R.
3367284a-c1c1-45b9-94d0-bcd7eff980be
Lewis, S.M.
a69a3245-8c19-41c6-bf46-0b3b02d83cb8
Dean, A.M.
9c90540a-cdf4-44ce-9d34-6b7b495a1ea3

Prescott, P., Draper, N.R., Lewis, S.M. and Dean, A.M. (1997) Further properties of mixture designs for five components in orthogonal blocks. Journal of Applied Statistics, 24 (2), 147-156. (doi:10.1080/02664769723765).

Record type: Article

Abstract

Orthogonally blocked experimental designs for mixtures of five ingredients, formed from Latin squares, were previously discussed by Prescott et al. Here, we extend this development by studying the properties of three classes of possible designs, with recommendations on their practical application. Restrictions on the design classes are explored and D-optimal (within the classes) versions are identified. Remarks on general D-optimality conclude the paper.

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Published date: 1997
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Organisations: Statistics

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Local EPrints ID: 29974
URI: http://eprints.soton.ac.uk/id/eprint/29974
DOI: doi:10.1080/02664769723765
ISSN: 0266-4763
PURE UUID: 79d9654e-f31d-4086-a7b8-39f5da4e9bb1

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Date deposited: 16 Mar 2007
Last modified: 15 Mar 2024 07:36

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Contributors

Author: P. Prescott
Author: N.R. Draper
Author: S.M. Lewis
Author: A.M. Dean

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