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Grobner basis methods in mixture experiments and generalisations
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UNSPECIFIED (2001) Grobner basis methods in mixture experiments and generalisations. In: Optimum Design 2000 Conference, CARDIFF, WALES, APR 12-14, 2000. Published in: OPTIMUM DESIGN 2000, 51 pp. 33-44. ISBN 0-7923-6798-7.
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Abstract
The theory of mixture designs has a considerable history. We address here the important issue of the analysis of an experiment having in mind the algebraic interpretation of the structural restriction E xi = 1. We present an approach for rewriting models for mixture experiments, based on constructing homogeneous orthogonal polynomials using Grobner bases. Examples are given utilising the approach.
Item Type: | Conference Item (UNSPECIFIED) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Series Name: | NONCONVEX OPTIMIZATION AND ITS APPLICATIONS | ||||
Journal or Publication Title: | OPTIMUM DESIGN 2000 | ||||
Publisher: | SPRINGER | ||||
ISBN: | 0-7923-6798-7 | ||||
Editor: | Atkinson, A and Bogacka, B and Zhigljavsky, A | ||||
Official Date: | 2001 | ||||
Dates: |
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Volume: | 51 | ||||
Number of Pages: | 12 | ||||
Page Range: | pp. 33-44 | ||||
Publication Status: | Published | ||||
Title of Event: | Optimum Design 2000 Conference | ||||
Location of Event: | CARDIFF, WALES | ||||
Date(s) of Event: | APR 12-14, 2000 |
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