关键词: 非对称, 非同构, 最小矩混杂优势准则, 投影矩向量分布, 饱和设计

Abstract:

For distinguishing non-isomorphic orthogonal saturated designs, Fang and Zhang^[2]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 [2]. On the basis of  this criterion, a new algorithm is given to detect the non-isomorphism of both symmetrical and asymmetrical designs. Examples show the
MMAM approach is useful for distinguishing non-isomorphic saturated designs.

Key words: Asymmetrical, Non-isomorphism, Projection moment vector distribution, Saturated design