WHEN IS AN EQUALLY-WEIGHTED DESIGN D-OPTIMAL?

RAMÓN ARDANUY1, J. LÓPEZ-FIDALGO1, PATRICK J. LAYCOCK2 AND
WENG KEE W ONG3

1 Departamento de Matemáticas, Pura y Aplicada, Universidad de Salamanca, Spain
2 Department of Mathematics, Institute of Science and Technology,
University of Manchester, P.O. Box 88, Manchester, M60 1QD, U.K.
3 Department of Biostatistics, University of California, Los Angeles,
10833 Le Conte Ave., Los Angeles, CA 90095-1772, U.S.A.

(Received April 7, 1997; revised May 18, 1998)

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.

Key words and phrases:    D-optimum design, equivalence theorem, G-optimum design, information matrix.

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