Connection Between Uniformity and Aberration in Regular Fractions of Two-level Factorials

نویسندگان

  • Kai-Tai Fang
  • Rahul Mukerjee
چکیده

We show a link between two apparently unrelated areas, namely uniformity and minimum aberration, both of which have been of substantial recent interest. Speciically, with reference to regular fractions of two-level factorials, we derive an expression for the centered L 2-discrepancy measure for uniformity in terms of the wordlength pattern. This result indicates, in particular, an excellent behavior of minimum aberration designs with regard to uniformity and provides further justiication for the popular criterion of minimum aberration.

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تاریخ انتشار 1999