Optimum Mixture Design for the Detection of Synergistic Effects

DOI10.1080/03610918.2011.654033zbMath1433.62240OpenAlexW2031531445MaRDI QIDQ4921593

Manisha Pal, Nripes Kumar Mandal

Publication date: 13 May 2013

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918.2011.654033

zbMATH Keywords

equivalence theoremoptimum designmixture experimentpseudo-Bayesian approachtest of synergistic effects

Mathematics Subject Classification ID

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

Cites Work

• Optimal designs which are efficient for lack of fit tests
• General equivalence theory for optimum designs (approximate theory)
• Kiefer ordering of simplex designs for first- and second-degree mixture models
• Locally asymptotically optimal designs for testing in logistic regression.
• The optimal design for hypothesis test and its application in genetic linkage analysis
• Minimax designs for optimum mixtures
• Optimum designs for optimum mixtures
• Lack-of-fit-efficiently optimal designs to estimate the highest coefficient of a polynomial with large degree
• Efficient lack of fit designs that are optimal to estimate the highest coefficient of a polynomial
• D-Optimum Designs for Optimum Mixture in a Quadratic Log Contrast Model
• Optimum Designs for Parameter Estimation in Linear Mixture Models with Synergistic Effects
• Optimum Designs in Regression Problems
• Optimum Designs in Regression Problems, II
• Optimum Mixture Design Using Deficiency Criterion
• Optimal and Efficient Designs of Experiments
• Planning experiments to detect inadequate regression models
• Optimal designs for testing the functional form of a regression via nonparametric estimation techniques

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