Defining equations for two-level factorial designs |
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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: | Defining equations are introduced in the context of two-level factorial designs and they are shown to provide a concise specification of both regular and nonregular designs. The equations are used to find orthogonal arrays of high strength and some optimal designs. The latter optimal designs are formed in a new way by augmenting notional orthogonal arrays which are allowed to have some runs with a negative number of replicates before augmentation. Defining equations are also shown to be useful when the factorial design is blocked. |
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Keywords: | Aliasing Augmented design Defining contrasts Fractional factorial J-characteristics" target="_blank">gif" overflow="scroll">J-characteristics Orthogonal arrays |
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