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April 2005 Optimal and efficient crossover designs for comparing test treatments with a control treatment
A. S. Hedayat, Min Yang
Ann. Statist. 33(2): 915-943 (April 2005). DOI: 10.1214/009053604000000887


This paper deals exclusively with crossover designs for the purpose of comparing t test treatments with a control treatment when the number of periods is no larger than t+1. Among other results it specifies sufficient conditions for a crossover design to be simultaneously A-optimal and MV-optimal in a very large and appealing class of crossover designs. It is expected that these optimal designs are highly efficient in the entire class of crossover designs. Some computationally useful tools are given and used to build assorted small optimal and efficient crossover designs. The model robustness of these newly discovered crossover designs is discussed.


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A. S. Hedayat. Min Yang. "Optimal and efficient crossover designs for comparing test treatments with a control treatment." Ann. Statist. 33 (2) 915 - 943, April 2005.


Published: April 2005
First available in Project Euclid: 26 May 2005

zbMATH: 1068.62084
MathSciNet: MR2163163
Digital Object Identifier: 10.1214/009053604000000887

Primary: 62K05
Secondary: 62K10

Keywords: A-optimal and MV-optimal crossover designs , balanced designs , carryover effect , Crossover designs , repeated measurements

Rights: Copyright © 2005 Institute of Mathematical Statistics


Vol.33 • No. 2 • April 2005
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