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Title: Characterizations of indicator functions for fractional factorial designs Authors:  Satoshi Aoki - Kobe University (Japan) [presenting]
Abstract: A polynomial indicator function of designs is a basic tool to characterize fractional factorial designs in the field of computational algebraic statistics. For the case of two-level designs, the structure of the indicator function is well-known. For example, the coefficients of indicator functions have clear meanings relating to the concept of the aberration and resolution for the two-level cases. The polynomial relation among the coefficients is also derived for the two-level cases, which can be used to classify designs with given sizes. However, for the cases of multi-level designs with rational factors, such relations are complicated and interpretations are difficult. We consider the structure of the indicator function of general designs and its applications.