Composite Designs Based on Orthogonal Arrays and Definitive Screening Designs

2017-08-07T19:27:59Z (GMT) by Yong-Dao Zhou Hongquan Xu
<p>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.</p>