最小矩混杂准则与广义最小低阶混杂准则之间一个新的解析等价关系

A new analytic equivalent relation between minimum moment aberration and generalized minimum aberration

广义最小低阶混杂(Generalized Minimum Aberration,简称GMA)准则和最小矩混杂(Minimum Moment Aberration,简称MMA)准则是因子设计中两种非常重要的准则,它们被用来比较不同的因子设计的优劣.用MMA中各阶矩的解析表达式来描述广义字长型,得到MMA与GMA之间一个新的解析表达式,从而进一步说明这两种准则是等价的.

Generalized minimum aberration（GMA） criterion and minimum moment aberration（MMA） criterion are the two important criteria in factorial designs. They are employed to assess the goodness of factorial designs. Here, a new analytic relation between GMA and MMA is built by using the linear combinations of power moments to describe generalized wordlength patterns, Thereby, the equivalence relation between the two criteria is further illustrated.