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When is an Equally-Weighted Design D-optimal?

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Abstract

We discuss conditions under which an equally weighted design is D-optimal. The concept of a model being maximally invariant with respect to a set is introduced and is shown to be useful in this work. Several illustrative examples are given, including two biomedical applications using compartmental and segmented models.

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Authors and Affiliations

  1. Departamento de Matemáticas, Pura y Aplicada, Universidad de Salamanca, Spain

    Ramón Ardanuy & J. López-Fidalgo

  2. Department of Mathematics, Institute of Science and Technology, University of Manchester, P.O. Box 88, Manchester, M60 1QD, U.K.

    Patrick J. Laycock

  3. Department of Biostatistics, University of California, Los Angeles, 10833 Le Conte Ave., Los Angeles, CA, 90095-1772, U.S.A.

    Weng Kee Wong

Authors
  1. Ramón Ardanuy
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  2. J. López-Fidalgo
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  3. Patrick J. Laycock
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  4. Weng Kee Wong
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Ardanuy, R., López-Fidalgo, J., Laycock, P.J. et al. When is an Equally-Weighted Design D-optimal?. Annals of the Institute of Statistical Mathematics 51, 531–540 (1999). https://doi.org/10.1023/A:1003954207112

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  • DOI: https://doi.org/10.1023/A:1003954207112

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