Composite Designs Based on Orthogonal Arrays and Definitive Screening Designs
研究了两类新复合设计,由两水平因子设计和三水平正交阵列或确定性筛选设计构成,推导了估计二阶模型参数的效率界限,构造的新设计比中心复合设计更高效。
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.