某些包含最多纯净两因子交互效应2_\rmIII^m-(m-k)设计的一种构造方法

An Approach for Constructing Some 2_\rmIII^m-(m-k)Designs with the Maximum Number of Clear Two-Factor Interactions

摘要: 本文给出了构造包含最多纯净两因子交互效应2_\textIII^m-(m-k)设计的一种方法. 对于某些设计参数m和k, 验证了所构造的设计包含纯净两因子交互效应的数量多于Tang et al. (2002)所构造的设计. 并且所构造的设计都给出了格子点表示.

Abstract: This paper provides an approach for constructing 2_\textIII^m-(m-k) designs containing the maximum number of clear two-factor interactions. The designs obtained contain more clear two-factor interactions than those obtained Tang et al. (2002) for some m and k. Moreover, the designs constructed are shown to have concise grid representations.