Open Access
August 2004 Optimality of neighbor-balanced designs for total effects
R. A. Bailey, P. Druilhet
Ann. Statist. 32(4): 1650-1661 (August 2004). DOI: 10.1214/009053604000000481


The purpose of this paper is to study optimality of circular neighbor-balanced block designs when neighbor effects are present in the model. In the literature many optimality results are established for direct effects and neighbor effects separately, but few for total effects, that is, the sum of direct effect of treatment and relevant neighbor effects. We show that circular neighbor-balanced designs are universally optimal for total effects among designs with no self neighbor. Then we give efficiency factors of these designs, and show some situations where a design with self neighbors is preferable to a neighbor-balanced design.


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R. A. Bailey. P. Druilhet. "Optimality of neighbor-balanced designs for total effects." Ann. Statist. 32 (4) 1650 - 1661, August 2004.


Published: August 2004
First available in Project Euclid: 4 August 2004

zbMATH: 1045.62074
MathSciNet: MR2089136
Digital Object Identifier: 10.1214/009053604000000481

Primary: 62K05 , 62K10

Keywords: Neighbor designs, optimal design, universal optimality, total effects.

Rights: Copyright © 2004 Institute of Mathematical Statistics

Vol.32 • No. 4 • August 2004
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