Composite Designs Based on Orthogonal Arrays and Definitive Screening Designs

• 成果类型: Article
• 署名作者: Zhou, Yong-Dao; Xu, Hongquan
• 署名单位: Sichuan University; University of California System; University of California Los Angeles
• 刊物名称: JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
• ISSN/ISSBN: 0162-1459
• DOI: 10.1080/01621459.2016.1228535
• 发表日期: 2017
• 页码: 1675-1683
• 关键词: fractional factorial-designs; optimum; regression

摘要

Central composite designs are widely used in practice for factor screening and building response surface models. We study two classes of newcomposite 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 aremore efficient than central composite designs and other existing designs. Supplementary materials are available online.