Results for two-level fractional factorial designs of resolution IV or more |
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Authors: | Neil A Butler |
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Institution: | School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, UK |
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Abstract: | The main theorem of this paper shows that foldover designs are the only (regular or nonregular) two-level factorial designs of resolution IV (strength 3) or more for n runs and n/3?m?n/2 factors. This theorem is a generalization of a coding theory result of Davydov and Tombak 1990. Quasiperfect linear binary codes with distance 4 and complete caps in projective geometry. Problems Inform. Transmission 25, 265–275] which, under translation, effectively states that foldover (or even) designs are the only regular two-level factorial designs of resolution IV or more for n runs and 5n/16?m?n/2 factors. This paper also contains other theorems including an alternative proof of Davydov and Tombak's result. |
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Keywords: | Distance Five-column design Generalized minimum aberration Hadamard matrix J-characteristics Minimum aberration T-elements |
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