Optimum Designs for Parameter Estimation in Linear Mixture Models with Synergistic Effects

DOI10.1080/03610921003734822zbMath1216.62115OpenAlexW1977873051MaRDI QIDQ3015916

Manisha Pal, Manohar L. Aggarwal, Nripes Kumar Mandal

Publication date: 13 July 2011

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

Full work available at URL: https://doi.org/10.1080/03610921003734822

zbMATH Keywords

equivalence theorem\(D\)-optimalitymixture experiment\(A\)-optimalityBecker's models

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Optimal statistical designs (62K05) Design of statistical experiments (62K99)

Related Items (4)

D-Optimum Designs for Optimum Mixture in a Quadratic Log Contrast Model ⋮ Optimum designs for parameter estimation in mixture experiments with group synergism ⋮ Maximin designs for the detection of synergistic effects ⋮ Optimum Mixture Design for the Detection of Synergistic Effects

Cites Work

• General equivalence theory for optimum designs (approximate theory)
• Kiefer ordering of simplex designs for first- and second-degree mixture models
• Experiments with mixtures: Optimal allocations for Becker's models
• \(D\)-optimal design for Becker's minimum polynomial
• A \(V\)-optimal design for Scheffé's polynomial model
• Minimax designs for optimum mixtures
• Optimum designs for optimum mixtures
• Optimum Designs in Regression Problems, II
• MODELS AND DESIGNS FOR EXPERIMENTS WITH MIXTURES
• Comparison of Simplex Designs for Quadratic Mixture Models
• On the Detection of an Additive Blending Component in Multicomponent Mixtures
• Optimal designs for experiments with mixtures: a survey
• Testing a Unit Root Based on Aggregate Time Series
• Optimal and Efficient Designs of Experiments
• Unnamed Item

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