Split-Plot Designs with Mirror Image Pairs as Subplots

John Tyssedal, Murat Kulahci, Soren Bisgaard

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    In this article we investigate two-level split-plot designs where the sub-plots consist of only two mirror image trials. Assuming third and higher order interactions negligible, we show that these designs divide the estimated effects into two orthogonal sub-spaces, separating sub-plot main effects and sub-plot by whole-plot interactions from the rest. Further we show how to construct split-plot designs of projectivity P≥3. We also introduce a new class of split-plot designs with mirror image pairs constructed from non-geometric Plackett–Burman designs. The design properties of such designs are very appealing with effects of major interest free from full aliasing assuming that 3rd and higher order interactions are negligible.
    Original languageEnglish
    JournalJournal of Statistical Planning and Inference
    Volume141
    Issue number12
    Pages (from-to)3686-3696
    ISSN0378-3758
    DOIs
    Publication statusPublished - 2011

    Keywords

    • Projective properties
    • Plackett–Burman designs
    • Two-level designs
    • Alias structure
    • Restriction onrandomization
    • Screening designs

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