Generalized minimum aberration for asymmetrical fractional factorial designs
提出一种广义最小混杂准则，用于比较非对称部分因子设计，该准则不依赖处理对比的选择，适用于对称与非对称、规则与非规则设计，并发展了对称设计的互补设计理论。
By studying treatment contrasts and ANOVA models, we propose a generalized minimum aberration criterion for comparing asymmetrical fractional factorial designs. The criterion is independent of the choice of treatment contrasts and thus modelfree. It works for symmetrical and asymmetrical designs, regular and nonregular designs. In particular, it reduces to the minimum aberration criterion for regular designs and the minimum G2 aberration criterion for twolevel nonregular designs. In addition, by exploring the connection between factorial design theory and coding theory, we develop a complementary design theory for general symmetrical designs, which covers many existing results as special cases.