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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.

62K15 Factorial statistical designs
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