Optimal designs for mixture amount experiments

DOI10.1016/0378-3758(95)00003-RzbMath0838.62056MaRDI QIDQ1907661

Peter Bauer, Ralf-Dieter Hilgers

Publication date: 6 June 1996

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

zbMATH Keywords

D-optimalitysimplexmixture experimentsextended factor spacegeneralized tic polynomialsmixture amount experiments

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Optimal statistical designs (62K05)

Related Items (9)

Optimum Designs for Estimation of Parameters in a Quadratic Mixture-Amount Model ⋮ Optimal designs for experiments with mixtures: a survey ⋮ Optimum Designs for Estimation of Optimum Amount and Proportions in a Mixture-Amount Model ⋮ Pseudo-Bayesian \(A\)-optimal designs for estimating the point of maximum in component-amount Darroch-Waller mixture model ⋮ Orthogonally blocked mixture component-amount designs via projections of F-squares ⋮ \(D\)-optimal design for Becker's minimum polynomial ⋮ Kiefer ordering of simplex designs for first- and second-degree mixture models ⋮ Developing mixture models, are we done ⋮ A note on D-optimal designs for models with and without an intercept

Cites Work

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• D-optimum design for cubic without 3-way effect on the simplex
• On D-optimality of exact linear regression designs with minimum support
• Admissible experimental designs in multiple polynomial regression
• General equivalence theory for optimum designs (approximate theory)
• \(D\)-optimum design for full cubic on \(q\)-simplex
• Optimum Designs in Regression Problems, II
• Models for Mixture Experiments When the Response Depends on the Total Amount
• Optimal Experimental Designs
• Optimal and Efficient Designs of Experiments

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