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Partial duplication in two-level fractional factorial designs

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Abstract

Most fractional factorial designs have no replicated points and thus do not provide an estimate for pure error. The construction methods for orthogonal main-effect plan in the literature usually do not produce designs with duplicate points. However, it is possible to combine four fractions to provide a set of duplicate points without sacrificing the orthogonality of main effects. This paper proposes two techniques of this idea to produce designs with replicate points in two-level fractional factorial designs.

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Authors and Affiliations

  1. Department of Mathematics, National Kaohsiung Normal University, Kaohsiung, Taiwan, ROC

    Pen-Hwang Liau

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  1. Pen-Hwang Liau
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Correspondence to Pen-Hwang Liau.

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Liau, PH. Partial duplication in two-level fractional factorial designs. Statistical Papers 49, 353–361 (2008). https://doi.org/10.1007/s00362-006-0018-3

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  • DOI: https://doi.org/10.1007/s00362-006-0018-3

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