D-optimal design for a quadratic log contrast model for experiments with mixtures

DOI10.1080/03610929208830953zbMath0777.62075OpenAlexW2128742990MaRDI QIDQ4202698

Ling-Yau Chan

Publication date: 19 December 1993

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610929208830953

zbMATH Keywords

weights\(D\)-optimalitysupport pointssymmetric subspaceexperiments with mixturessimultaneous linear equationsfinite dimensional simplexquadratic log contrast model

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Probabilistic methods, stochastic differential equations (65C99)

Related Items

Optimal designs for experiments with mixtures: a survey ⋮ A \(V\)-optimal design for Scheffé's polynomial model ⋮ D-Optimum Designs for Optimum Mixture in a Quadratic Log Contrast Model ⋮ Experiments with mixtures: Optimal allocations for Becker's models ⋮ D_s-Optimal Designs for Quadratic Log Contrast Model for Experiments with Mixtures

Cites Work

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• An example of construction of asymptotic D-optimal design which converges on an infinite set of points
• Optimal design for a linear log contrast model for experiments with mixtures
• The Equivalence of Two Extremum Problems
• Designs in Three and Four Components for Mixtures Models with Inverse Terms
• A Mixtures Model with Inverse Terms
• The Sequential Generation of $D$-Optimum Experimental Designs