Interaction balance in symmetrical factorial designs with generalized minimum aberration
نویسندگان
چکیده
In this paper, the issue of balance pattern of the interaction columns of a symmetrical design is considered according to orthogonal components system. The minimum interaction unbalance criterion is proposed for ranking and comparing s-level factorial designs, where s is any a prime or a prime power. It is further showed that the interaction unbalance pattern is just the generalized wordlength pattern defined by Xu & Wu (2001) from the point of view of linear-quadratic system based on the ANOVA model, and consequently the two criteria, minimum interaction unbalance and generalized minimum aberration, coincide with each other for symmetrical factorial designs, although ground on two different systems of parameterization.
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