Optimum Mixture Design Using Deficiency Criterion

DOI10.1080/03610920701712957zbMath1274.62508OpenAlexW2105060467MaRDI QIDQ3634557

Manisha Pal, Nripes Kumar Mandal

Publication date: 25 June 2009

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

Full work available at URL: https://doi.org/10.1080/03610920701712957

zbMATH Keywords

asymptotic efficiencynonlinear functionsecond-order modelsmixture experimentsoptimum designsdeficiency criterion

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Design of statistical experiments (62K99)

Related Items (8)

A-optimal designs for optimum mixture in an additive quadratic mixture model ⋮ 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 ⋮ Extensions of D-optimal minimal designs for symmetric mixture models ⋮ Optimum mixture designs in a restricted region ⋮ Optimum Mixture Design for the Detection of Synergistic Effects ⋮ Optimum Designs for Optimum Mixtures in Multiresponse Experiments ⋮ Optimum mixture designs in some constrained experimental regions

Cites Work

• Minimax designs for estimating the optimum point in a quadratic response surface
• Kiefer ordering of simplex designs for first- and second-degree mixture models
• Experiments with mixtures: Optimal allocations for Becker's models
• Another view on optimal design for estimating the point of extremum in quadratic regression
• Designs for estimating an extremal point of quadratic regression models in a hyperball
• Optimum designs for optimum mixtures
• Optimum Designs in Regression Problems, II
• Optimal design: Variation in structure and performance under change of criterion
• Comparison of Simplex Designs for Quadratic Mixture Models

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