%0 Journal Article %A Zhou, Yong-Dao %A Xu, Hongquan %D 2017 %T Composite Designs Based on Orthogonal Arrays and Definitive Screening Designs %U https://tandf.figshare.com/articles/journal_contribution/Composite_Designs_Based_on_Orthogonal_Arrays_and_Definitive_Screening_Designs/3817161 %R 10.6084/m9.figshare.3817161.v2 %2 https://ndownloader.figshare.com/files/9049906 %K Central composite design %K Conference matrix %K D-efficiency %K Definitive screening design %K Fractional factorial design %K Orthogonal array %X

Central composite designs are widely used in practice for factor screening and building response surface models. We study two classes of new composite designs. The first class consists of a two-level factorial design and a three-level orthogonal array; the second consists of a two-level factorial and a three-level definitive screening design. We derive bounds of their efficiencies for estimating all and part of the parameters in a second-order model and obtain some general theoretical results. New composite designs are constructed. They are more efficient than central composite designs and other existing designs. Supplementary materials are available online.

%I Taylor & Francis