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Title
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Classical design structure of orthogonal designs with six to eight factors and sixteen runs
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Author
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Abstract
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| Most two-level fractional factorial designs used in practice involve independent or fully confounded effects (so-called regular designs). For example, for 16 runs and 6 factors, the classical resolution IV design with defining relation I = ABCE = BCDF = ADEF has become the de facto gold standard. Recent work has indicated that non-regular orthogonal designs could be preferable in some circumstances. Inhibiting a wider usage of these non-regular designs seems to be a combination of inertia/status quo and perhaps the general resistance and suspicion to designs that are computer generated to achieve XYZ optimality. In this paper each of the orthogonal non-isomorphic two-level, 16 run designs with 6, 7, or 8 factors (both regular and non-regular) are shown to have a classical-type construction with a 24 or a replicated 23 starting point. Additional factor columns are defined either using the familiar one-term column generators or generators using weighted sums of effects |
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Language
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English
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Source (journal)
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Quality and reliability engineering international. - Chichester
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Publication
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Chichester
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2011
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ISSN
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0748-8017
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DOI
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10.1002/QRE.1170
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Volume/pages
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27
:1
(2011)
, p. 61-70
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ISI
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000287059900007
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Full text (Publisher's DOI)
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