When is an equally-weighted design D-optimal?

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 a...

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Bibliographic Details
Published in:	Annals of the Institute of Statistical Mathematics Vol. 51; no. 3; pp. 531 - 540
Main Authors:	ARDANUY, R, LOPEZ-FIDALGO, J, LAYCOCK, P. J, WENG KEE WONG
Format:	Journal Article
Language:	English
Published:	Tokyo Kluwer 01-09-1999 Dordrecht Springer Nature B.V
Subjects:	Design Exact sciences and technology Experimental design Linear inference, regression Mathematical models Mathematics Probability and statistics Sciences and techniques of general use Statistics Studies Theory D optimal design Lagrange multiplier Polynomial model Experimental design Linear regression Equivalence theorem Optimal design(statistics) G optimal design Maximal invariant condition
Online Access:	Get full text
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Summary:	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. [PUBLICATION ABSTRACT]
ISSN:	0020-3157 1572-9052
DOI:	10.1023/A:1003954207112