Composite Designs Based on Orthogonal Arrays and Definitive Screening Designs. Issue 520 (2nd October 2017)

• Record Type: Journal Article
• Authors: Zhou, Yong-Dao; Xu, Hongquan
• Is Part Of: Journal of the American Statistical Association. Volume 112:Issue 520(2017)
• Page Start: 1675
• Page End: 1683
• Publication Date: 2017-10-02
• Subjects: Central composite design -- Conference matrix -- D-efficiency -- Definitive screening design -- Fractional factorial design -- Orthogonal array; Statistics -- Periodicals; Statistics -- Periodicals; Statistiques -- Périodiques; États-Unis -- Statistiques -- Périodiques; 519.5
• DOI: 10.1080/01621459.2016.1228535
• Languages: English
• ISSNs: 0162-1459

Abstract

ABSTRACT: 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.