D-optimal design for cubic polynomial regression on the q-simplex

DOI10.1016/0378-3758(90)90062-YzbMath0713.62075MaRDI QIDQ750062

Yong B. Lim

Publication date: 1990

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

zbMATH Keywords

symmetric functionsLagrange polynomialsD-optimal designgeneral cubic polynomial regressionNewton's theorem on the sums of the powers of the rootsq-simplex

Mathematics Subject Classification ID

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

Related Items

\(D\)-optimum design for full cubic on \(q\)-simplex ⋮ Optimal designs for experiments with mixtures: a survey ⋮ Experiments with mixtures: Optimal allocations for Becker's models ⋮ A-optimal design for the special cubic mixture model ⋮ Extensions of D-optimal minimal designs for symmetric mixture models ⋮ Kiefer ordering of simplex designs for first- and second-degree mixture models ⋮ Developing mixture models, are we done

Cites Work

• The Spacing of Observations in Polynomial Regression
• The Equivalence of Two Extremum Problems
• Efficiency Problems in Polynomial Estimation
• Optimum Designs in Regression Problems, II
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