\(\Phi_p\)-optimal second order designs for symmetric regions

DOI10.1016/0378-3758(78)90006-XzbMath0418.62053OpenAlexW2044852186MaRDI QIDQ1131813

S. H. Smith

Publication date: 1978

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(78)90006-x

zbMATH Keywords

A-optimalityE-optimalityrobust designD- optimalitysymmetric regionscompound criterion of optimalityexperimental regioninteger designsecond order design

Mathematics Subject Classification ID

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

Related Items (7)

Characterizing D-optimal rotatable designs with finite reflection groups ⋮ Admissible experimental designs in multiple polynomial regression ⋮ Optimal and robust invariant designs for cubic multiple regression ⋮ Geometric designs and rotatable designs. I ⋮ A construction of the fourth order rotatable designs invariant under the hyperoctahedral group ⋮ Criterion-Robust Experimental Designs for the Quadratic Regression on a Square and a Cube ⋮ Constructions of \(\Phi_p\)-optimal rotatable designs on the ball

Cites Work

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• 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)
• The Equivalence of Two Extremum Problems
• Simplex-Sum Designs: A Class of Second Order Rotatable Designs Derivable From Those of First Order
• D-optimum and quasi-D-optimum second-order designs on a cube
• Optimal design: Variation in structure and performance under change of criterion
• Multifactor second order designs for cuboidal regions

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