非正则部分因子设计的研究进展
Recent Developments in Nonregular Fractional Factorial Designs
摘要：
Plackett-Burman设计等非规则部分因子设计因其试验规模经济、灵活性强等优点，被广泛应用于各种筛选试验中。传统的分析只关注主效应。Hamada和Wu（1992）超越了传统的方法，提出了一种分析策略，以证明在一些重要的主效应之外，可以考虑和估计一些相互作用。他们的开创性工作刺激了许多最近的发展，在设计标准的创建，建设和分析的非正规设计。本文综述了非正则设计的最优性准则和比较的重要进展，包括投影性质、广义分解、各种广义最小像差准则、最优性结果、构造方法和分析策略。
英文摘要：
Nonregular fractional factorial designs such as Plackett-Burman designs and other orthogonal arrays are widely used in various screening experiments for their run size economy and flexibility. The traditional analysis focuses on main effects only. Hamada and Wu (1992) went beyond the traditional approach and proposed an analysis strategy to demonstrate that some interactions could be entertained and estimated beyond a few significant main effects. Their groundbreaking work stimulated much of the recent developments in design criterion creation, construction and analysis of nonregular designs. This paper reviews important developments in optimality criteria and comparison, including projection properties, generalized resolution, various generalized minimum aberration criteria, optimality results, construction methods and analysis strategies for nonregular designs.
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