Fourth-order rotatable designs: A-optimal measures

DOI10.1016/0167-7152(90)90005-RzbMath0699.62074OpenAlexW2013222942MaRDI QIDQ913424

Rahul Mukerjee, Shahariar Huda

Publication date: 1990

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(90)90005-r

zbMATH Keywords

A-optimal rotatable design measuresassociation algebra of triangular association schemeD-optimal measuresfourth-order polynomial regression on hyperspheres

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Designs and configurations (05B99)

Related Items (7)

Approximate \(I\)-optimal designs for polynomial models over the unit ball ⋮ On third order rotatability ⋮ \(L_p\)-optimality for regression designs with heteroscedastic errors ⋮ A-optimal designs for heteroscedastic multifactor regression models ⋮ On Some Two- and Three-dimensional D-minimax Designs for Estimating Slopes of a Third-order Response Surface ⋮ On some D_S-optimal designs in spherical regions ⋮ Constructions of \(\Phi_p\)-optimal rotatable designs on the ball

Cites Work

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• Comparison of rotatable designs for regression on balls. I. (quadratic)
• Extrapolation designs and Phi//p-optimum designs for cubic regression on the q-ball
• D-optimal designs on the unit \(q\)-ball
• Multi-Factor Experimental Designs for Exploring Response Surfaces
• Conditions for fourth order rotatability in K dimensions
• Fourth order rotatability
• On fourth order rotatable designs
• D-optimal measures for fourth-order rotatable designs
• Construction of fourth order rotatable designs with estimation of corresponding response surface
• A fourth order rotatable design in three dimensions

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