A survey and evaluation of methods for determination of combinatorial equivalence of factorial designs |
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Authors: | T.I. Katsaounis A.M. Dean |
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Affiliation: | Department of Statistics, The Ohio State University, 1958 Neil Avenue, Columbus, OH 43210, USA |
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Abstract: | Equivalent factorial designs have identical statistical properties for estimation of factorial contrasts and for model fitting. Non-equivalent designs, however, may have the same statistical properties under one particular model but different properties under a different model. In this paper, we describe known methods for the determination of equivalence or non-equivalence of two-level factorial designs, whether they be regular factorial designs, non-regular orthogonal arrays, or have no particular structure. In addition, we evaluate a number of potential fast screening methods for detecting non-equivalence of designs. Although the paper concentrates mainly on symmetric designs with factors at two levels, we also evaluate methods of determining combinatorial equivalence and non-equivalence of three-level designs and indicate extensions to larger numbers of levels and to asymmetric designs. |
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Keywords: | 62K15 |
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