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A connection between uniformity and aberration in regular fractions of two-level factorials. (English) Zbl 0974.62059
Summary: We show a link between the two apparently unrelated areas of uniformity and minimum aberration. With reference to regular fractions of two-level factorials, we derive an expression for the centred $$L_2$$-discrepancy measure for uniformity in terms of the word-length pattern. This result indicates, in particular, excellent behaviour of minimum aberration designs with regard to uniformity and provides further justification for the popular criterion of minimum aberration.

##### MSC:
 62K15 Factorial statistical designs
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