Classical Design Structure of Orthogonal Designs with Six to Eight Factors and Sixteen Runs

    Authors

    M. E. Johnson;B. Jones

    Comments

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    Abbreviated Journal Title

    Qual. Reliab. Eng. Int.

    Keywords

    fractional factorial designs; projection properties; design generators; alias patterns; Engineering, Multidisciplinary; Engineering, Industrial; Operations; Research & Management Science

    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 'X-Y-Z' 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 2(4) or a replicated 2(3) starting point. Additional factor columns are defined either using the familiar one-term column generators or generators using weighted sums of effects. Copyright (C) 2010 John Wiley & Sons, Ltd.

    Journal Title

    Quality and Reliability Engineering International

    Volume

    27

    Issue/Number

    1

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    61

    Last Page

    70

    WOS Identifier

    WOS:000287059900007

    ISSN

    0748-8017

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