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December 1997 Optimal repeated measurements designs: the linear optimality equations
H. B. Kushner
Ann. Statist. 25(6): 2328-2344 (December 1997). DOI: 10.1214/aos/1030741075


In approximate design theory, necessary and sufficient conditions that a repeated measurements design be universally optimal are given as linear equations whose unknowns are the proportions of subjects on the treatment sequences. Both the number of periods and the number of treatments in the designs are arbitrary, as is the covariance matrix of the normal response model. The existence of universally optimal "symmetric" designs is proved; the single linear equation which the proportions satisfy is given. A formula for the information matrix of a universally optimal design is derived.


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H. B. Kushner. "Optimal repeated measurements designs: the linear optimality equations." Ann. Statist. 25 (6) 2328 - 2344, December 1997.


Published: December 1997
First available in Project Euclid: 30 August 2002

zbMATH: 0894.62088
MathSciNet: MR1604457
Digital Object Identifier: 10.1214/aos/1030741075

Primary: 62K05
Secondary: 62K10

Keywords: carryover effect , Optimal repeated measurements designs , treatment effect , treatment sequence , universal optimality

Rights: Copyright © 1997 Institute of Mathematical Statistics


Vol.25 • No. 6 • December 1997
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