The Annals of Statistics

Optimality of neighbor-balanced designs for total effects

R. A. Bailey and P. Druilhet

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Abstract

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.

Article information

Source
Ann. Statist., Volume 32, Number 4 (2004), 1650-1661.

Dates
First available in Project Euclid: 4 August 2004

Permanent link to this document
https://projecteuclid.org/euclid.aos/1091626181

Digital Object Identifier
doi:10.1214/009053604000000481

Mathematical Reviews number (MathSciNet)
MR2089136

Zentralblatt MATH identifier
1045.62074

Subjects
Primary: 62K05: Optimal designs 62K10: Block designs

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

Citation

Bailey, R. A.; Druilhet, P. Optimality of neighbor-balanced designs for total effects. Ann. Statist. 32 (2004), no. 4, 1650--1661. doi:10.1214/009053604000000481. https://projecteuclid.org/euclid.aos/1091626181


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