利用2_Ⅳ^(m-p)设计的纯净两因子交互效应个数判断低阶混杂

Verification of aberration according to the number of clear two-factor interactions in 2_Ⅳ^(m-p) designs

根据纯净两因子交互效应的数量证明某些2Ⅳm-p设计在一定条件下具有弱最小低阶混杂,并且给出了一组既具有弱最小低阶混杂又包含最大数量纯净两因子交互效应的2Ⅳm-p设计.

In this paper ,according to the number of clear two-factor interactions ,it is proved that some 2Ⅳ^m-p designs have weak minimum aberration. Also some 2Ⅳ^m-p designs with weak minimum aberration are provided for illustration. These theoretical results reveal some deep relationships between the clear criterion and the minimum aberration criterion.