非同构饱和正交设计的最小矩混杂优势准则

Minimum Moment Aberration Majorization in Non-isomorphic Asymmetrical Saturated Designs

为了区分不同构的饱和正交设计,Fang和Zhang提出最小混杂优势准则区分不同构的对称饱和正交设计,然而该方法不能区分非对称的情况.为此,该文考虑最小矩混杂优势准则及其性质并推广文献[2]的结果.同时,基于该准则,给出一个新算法来检测对称或非对称设计的非同构性.例子显示最小矩混杂优势准则可以有效的区分非同构饱和设计.

For distinguishing non-isomorphic orthogonal saturated designs,Fang and Zhang proposed the minimum aberration majorization approach to distinguish non-isomorphic symmetrical orthogonal saturated designs.However,their method can not distinguish the asymmetrical cases.In this paper,the authors consider the criterion of minimum moment aberration majorization（MMAM） and extend the results in.On the basis of this criterion,a new algorithm is given to detect the non-isomorphism of both symmetrical and designs.Examples show the MMAM approach is useful for distinguishing non-isomorphic saturated designs.