Optimal and robust invariant designs for cubic multiple regression

DOI10.1007/BF01894287zbMath0817.62059MaRDI QIDQ1805527

Norbert Gaffke, Berthold Heiligers

Publication date: 2 July 1995

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/176551

zbMATH Keywords

permutationsrobustnessballmatrix groupconvex and differentiable optimality criterionmultiple polynomial regression of third orderoptimal approximate designsign changes of coordinatessymmetric cube

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Foundations and philosophical topics in statistics (62A01)

Related Items (9)

Characterizing D-optimal rotatable designs with finite reflection groups ⋮ Invariant symmetric block matrices for the design of mixture experiments ⋮ Algorithms for optimal design with application to multiple polynomial regression ⋮ Computing optimal approximate invariant designs for cubic regression on multidimensional balls and cubes ⋮ Second order methods for solving extremum problems form optimal linar regression design ⋮ On optimal third order rotatable designs ⋮ A construction of the fourth order rotatable designs invariant under the hyperoctahedral group ⋮ Minimum support invariant designs for multiple cubic regression ⋮ Constructions of \(\Phi_p\)-optimal rotatable designs on the ball

Cites Work

• Unnamed Item
• Unnamed Item
• \(\Phi_p\)-optimal second order designs for symmetric regions
• Invariant admissible and optimal designs in cubic regression on the \(\nu\)-ball
• Admissible experimental designs in multiple polynomial regression
• General equivalence theory for optimum designs (approximate theory)
• Comparison of design for quadratic regression of cubes
• Comparison of rotatable designs for regression on balls. I. (quadratic)
• Extrapolation designs and Phi//p-optimum designs for cubic regression on the q-ball
• Computing optimal approximate invariant designs for cubic regression on multidimensional balls and cubes
• On a class of algorithms from experimental design theory
• Optimal and Efficient Designs of Experiments
• Convex Analysis

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