Admissible experimental designs in multiple polynomial regression

DOI10.1016/0378-3758(92)90031-MzbMath0756.62029OpenAlexW2006773033MaRDI QIDQ1194018

Berthold Heiligers

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1016/0378-3758(92)90031-m

zbMATH Keywords

information matrixextreme pointsLöwner partial orderinginvariant designapproximate designmultiple polynomial regressionadmissibility of subdesignsadmissible linear regression designadmissible quadratic regression designconvex experimental region

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Design of statistical experiments (62K99)

Related Items (15)

Computing efficient exact designs of experiments using integer quadratic programming ⋮ Optimal designs with respect to Elfving's partial minimax criterion in polynomial regression ⋮ Optimal design of experiments via linear programming ⋮ Algorithmic construction of \(R\)-optimal designs for second-order response surface models ⋮ Design admissibility and de la Garza phenomenon in multifactor experiments ⋮ Optimal designs for mixture amount experiments ⋮ Computing maximin efficient experimental designs using the methods of semidefinite programming ⋮ Invariant admissible and optimal designs in cubic regression on the \(\nu\)-ball ⋮ Minimax designs for estimating the optimum point in a quadratic response surface ⋮ Optimal and robust invariant designs for cubic multiple regression ⋮ Optimal design of multifactor experiments via grid exploration ⋮ \(R\)-optimality criterion for regression models with asymmetric errors ⋮ Criterion-Robust Experimental Designs for the Quadratic Regression on a Square and a Cube ⋮ E-optimal designs for polynomial spline regression ⋮ Kiefer ordering of simplex designs for second-degree mixture models with four or more ingredi\-ents.

Cites Work

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