Some as-optimal designs and their a-efficiencies

Abstract

For polynomial regression over spherical regions, the d-th order As-optimal designs for γ-th order models are derived for 4 ≥ d > γ≥l. Efficiencies of these designs with respect to the γ-th order A-optimal designs are obtained. Furthermore, the effects of estimating intermediate m-th order models on these efficiencies are examined for d > m > γ

Keywords:

• A-efficiency
• A_s:-optimal designs
• polynomial regression
• rotatable designs
• spherical regions