On Some Two- and Three-dimensional D-minimax Designs for Estimating Slopes of a Third-order Response Surface

DOI10.1080/03610918.2014.882945zbMath1347.62163OpenAlexW2090915160MaRDI QIDQ2816718

Lakdere Benkherouf, Shahariar Huda

Publication date: 25 August 2016

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918.2014.882945

zbMATH Keywords

optimal designsresponse surface designsD-minimax designs

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Response surface designs (62K20)

Cites Work

• Fourth-order rotatable designs: A-optimal measures
• Minimax second-order designs over cuboidal regions for the difference between two estimated responses
• Variance of the difference between two estimated responses
• Extrapolation designs and Phi//p-optimum designs for cubic regression on the q-ball
• Minimax second-order designs over hypercubes for the difference between estimated responses at a point and at the centre
• On Second-Order A-, D- and E-Minimax Designs for Estimating Slopes in Extrapolation and Restricted Interpolation Regions
• Multi-Factor Experimental Designs for Exploring Response Surfaces
• Further Results on Minimax Designs to Estimate the Slope of a Response Surface
• Rotatability is a Sufficient Condition for A- and D-Rotatability
• Minimax Design for the Difference Between Estimated Responses for the Quadratic Model Over Hypercubic Regions
• D-optimal measures for fourth-order rotatable designs
• Minimax designs for estimating the slope of a third-order response surface in a hypercubic region
• Minimizing the maximum variance of the difference between two estimated responses
• The design of experiments to estimate the slope of a response surface
• Third Order Rotatable Designs for Exploring Response Surfaces

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