Abstract
The issue of uniformity is crucial in quasi-Monte Carlo methods and in the design of computer experiments. In this paper we study the role of uniformity in fractional factorial designs. For fractions of two- or three-level factorials, we derive results connecting orthogonality, aberration and uniformity and show that these criteria agree quite well. This provides further justification for the criteria of orthogonality or minimum aberration in terms of uniformity. Our results refer to several natural measures of uniformity and we consider both regular and nonregular fractions. The theory developed here has the potential of significantly reducing the complexity of computation for searching for minimum aberration designs.
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Fang, KT., Ma, CX., Mukerjee, R. (2002). Uniformity in Fractional Factorials. In: Fang, KT., Niederreiter, H., Hickernell, F.J. (eds) Monte Carlo and Quasi-Monte Carlo Methods 2000. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56046-0_15
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DOI: https://doi.org/10.1007/978-3-642-56046-0_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42718-6
Online ISBN: 978-3-642-56046-0
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