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

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

本文给出了构造包含最多纯净两因子交互效应2Ⅲm-(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.

This paper provides an approach for constructing 2mIII?(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.