Extrapolation designs and Phi//p-optimum designs for cubic regression on the q-ball

DOI10.1016/0378-3758(79)90040-5zbMath0412.62055OpenAlexW2049332568MaRDI QIDQ1259879

J. Kiefer, Zvi Galil

Publication date: 1979

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(79)90040-5

zbMATH Keywords

D-optimalityA-optimalityresponse surfaceE- optimalitycubic regressiondesigns on ballsextrapolation designinterpolation designoptimality computationsrotable design

Mathematics Subject Classification ID

Optimal statistical designs (62K05) General nonlinear regression (62J02) Probabilistic methods, stochastic differential equations (65C99)

Related Items (13)

Approximate \(I\)-optimal designs for polynomial models over the unit ball ⋮ A new approach to the construction of optimal designs ⋮ On third order rotatability ⋮ Computing optimal approximate invariant designs for cubic regression on multidimensional balls and cubes ⋮ Optimality and bias of some interpolation and extrapolation designs ⋮ Fourth-order rotatable designs: A-optimal measures ⋮ Invariant admissible and optimal designs in cubic regression on the \(\nu\)-ball ⋮ Efficiency comparisons in linear inference ⋮ D-optimal measures for fourth-order rotatable designs ⋮ Optimal and robust invariant designs for cubic multiple regression ⋮ On Some Two- and Three-dimensional D-minimax Designs for Estimating Slopes of a Third-order Response Surface ⋮ On optimal third order rotatable designs ⋮ On some D_S-optimal designs in spherical regions

Cites Work

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• Comparison of Box-Draper and D-Optimum Designs for Experiments with Mixtures
• Comparison of Simplex Designs for Quadratic Mixture Models
• Asympitic approach to families of desigh problems
• Optimal Spacing and Weighting in Polynomial Prediction
• On a Theorem of Hoel and Levine on Extrapolation Designs
• Optimal Experimental Designs
• Minimum Bias Estimation and Experimental Design for Response Surfaces
• A Basis for the Selection of a Response Surface Design

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