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Invariant symmetric block matrices for the design of mixture experiments

✍ Scribed by Thomas Klein

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
261 KB
Volume
388
Category
Article
ISSN
0024-3795

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✦ Synopsis

The paper analyzes a quadratic subspace of block matrices which are invariant under the action of a group H arising from the design of mixture experiments. There are two sets of novel results: first, we find an orthogonal basis of the quadratic subspace and a multiplication table for the matrix blocks allowing efficient handling of H-invariant symmetric matrices. Second, we present a spectral analysis of H-invariant symmetric matrices. The results are used to calculate optimal designs of mixture experiments analytically as well as numerically.

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