Title
Classical design structure of orthogonal designs with six to eight factors and sixteen runs Classical design structure of orthogonal designs with six to eight factors and sixteen runs
Author
Faculty/Department
Faculty of Applied Economics
Publication type
article
Publication
Chichester ,
Subject
Engineering sciences. Technology
Source (journal)
Quality and reliability engineering international. - Chichester
Volume/pages
27(2011) :1 , p. 61-70
ISSN
0748-8017
ISI
000287059900007
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Abstract
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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