Complementary design theory for sliced equidistance designs

Yuanzhen He and Mingyao Ai

Statistics & Probability Letters, 2012, vol. 82, issue 3, 542-547

Abstract: The complementary design theory is powerful for searching for an optimal design when its complementary design is smaller. This paper introduces a new class of sliced equidistance designs and develops the corresponding complementary design theory under the generalized minimum aberration criterion. Two rules are established to search for a generalized minimum aberration design through its complementary design in a sliced equidistance design. As a result, the developed theory covers the related results for the whole designs being saturated designs as special cases. Some examples are presented to illustrate its usefulness.

Keywords: Coding theory; Generalized wordlength pattern; Krawtchouk polynomial; Sliced equidistance design (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1016/j.spl.2011.11.008

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