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Some theory for constructing minimum aberration fractional factorial designs

Butler, N. A. (2003) Some theory for constructing minimum aberration fractional factorial designs. Biometrika, 90 (1). pp. 233-238. ISSN 0006-3444

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Abstract/Summary

Minimum aberration is the most established criterion for selecting a regular fractional factorial design of maximum resolution. Minimum aberration designs for n runs and n/2 less than or equal to m < n factors have previously been constructed using the novel idea of complementary designs. In this paper, an alternative method of construction is developed by relating the wordlength pattern of designs to the so-called 'confounding between experimental runs'. This allows minimum aberration designs to be constructed for n runs and 5n/16 less than or equal to m less than or equal to n/2 factors as well as for n/2 less than or equal to m < n.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Life Sciences > School of Biological Sciences
ID Code:10694
Uncontrolled Keywords:aliasing, defining contrast, factor screening, two-level design, wordlength pattern, E(S(2))-OPTIMAL SUPERSATURATED DESIGNS, 2-LEVEL

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