Open Access
December 2005 Universal optimality of Patterson’s crossover designs
Kirti R. Shah, Mausumi Bose, Damaraju Raghavarao
Ann. Statist. 33(6): 2854-2872 (December 2005). DOI: 10.1214/009053605000000723


We show that the balanced crossover designs given by Patterson [Biometrika 39 (1952) 32–48] are (a) universally optimal (UO) for the joint estimation of direct and residual effects when the competing class is the class of connected binary designs and (b) UO for the estimation of direct (residual) effects when the competing class of designs is the class of connected designs (which includes the connected binary designs) in which no treatment is given to the same subject in consecutive periods. In both results, the formulation of UO is as given by Shah and Sinha [Unpublished manuscript (2002)].

Further, we introduce a functional of practical interest, involving both direct and residual effects, and establish (c) optimality of Patterson’s designs with respect to this functional when the class of competing designs is as in (b) above.


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Kirti R. Shah. Mausumi Bose. Damaraju Raghavarao. "Universal optimality of Patterson’s crossover designs." Ann. Statist. 33 (6) 2854 - 2872, December 2005.


Published: December 2005
First available in Project Euclid: 17 February 2006

zbMATH: 1084.62066
MathSciNet: MR2253105
Digital Object Identifier: 10.1214/009053605000000723

Primary: 62K05
Secondary: 62K10

Keywords: Direct treatment effects , optimal joint estimation of effects , repeated measurement designs , residual treatment effects

Rights: Copyright © 2005 Institute of Mathematical Statistics

Vol.33 • No. 6 • December 2005
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