Abstract
There are two different systems of contrast parameterization when analyzing the interaction effects among the factors with more than two levels, i.e., linear-quadratic system and orthogonal components system. Based on the former system and an ANOVA model, Xu and Wu (2001) introduced the generalized wordlength pattern for general factorial designs. This paper shows that the generalized wordlength pattern exactly measures the balance pattern of interaction columns of a symmetrical design ground on the orthogonal components system, and thus an alternative angle to look at the generalized minimum aberration criterion is given.
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This work is partially supported by NNSF of China grant No. 10231030.
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Ai, M., He, S. Interaction balance for symmetrical factorial designs with generalized minimum aberration. Statistical Papers 47, 125–135 (2006). https://doi.org/10.1007/s00362-005-0276-5
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DOI: https://doi.org/10.1007/s00362-005-0276-5