Invariant symmetric block matrices for the design of mixture experiments

DOI10.1016/S0024-3795(03)00486-5zbMath1097.62066MaRDI QIDQ1881074

Thomas Klein

Publication date: 4 October 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Schur complementspectral analysisJordan algebrasimultaneous diagonalizationquadratic subspace of symmetric matrices

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Design of statistical experiments (62K99) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Eigenvalues, singular values, and eigenvectors (15A18) Algebraic systems of matrices (15A30)

Related Items (4)

D_s-Optimal Designs for Quadratic Log Contrast Model for Experiments with Mixtures ⋮ Maximin designs for the detection of synergistic effects ⋮ Weighted R -efficiency optimal design for experiments with mixture ⋮ Quadratic subspaces and construction of Bayes invariant quadratic estimators of variance components in mixed linear models

Cites Work

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• Kiefer ordering of simplex designs for second-degree mixture models with four or more ingredi\-ents.
• Optimal designs for second-degree Kronecker model mixture experiments
• \(D\)-optimum design for full cubic on \(q\)-simplex
• Comparison of Simplex Designs for Quadratic Mixture Models

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