Exact paired comparison designs for quadratic models

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    Abstract

    The construction of designs in paired comparison experiments is considered. The procedures that are used in paired comparisons to estimate the parameters yield a covariance matrix that depends on the unknown parameters. The assumption of no treatment differences is made to construct designs. By use of D-optimal discrete designs, exact designs are constructed with a high efficiency and a relatively small number of pairs. This is done for a quadratic model for 2, 3, 4 and 5 dimensions and hypercube as experimental region. Key words: Paired comparison; Bradley-Terry model; Optimal designs; Factorials.
    Original languageEnglish
    Place of PublicationEindhoven
    PublisherTechnische Universiteit Eindhoven
    Number of pages15
    Publication statusPublished - 1988

    Publication series

    NameMemorandum COSOR
    Volume8812
    ISSN (Print)0926-4493

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