Optimality of neighbor-balanced designs for total effects

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dc.creatorBailey, R. A.
dc.creatorDruilhet, P.
dc.date2004-10-05
dc.date.accessioned2026-07-07T08:06:31Z
dc.date.available2026-07-07T08:06:31Z
dc.descriptionThe 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.
dc.descriptionPublished by the Institute of Mathematical Statistics (http://www.imstat.org) in the Annals of Statistics (http://www.imstat.org/aos/) at http://dx.doi.org/10.1214/009053604000000481
dc.identifierhttps://arxiv.org/abs/math/0410089
dc.identifierhttp://arxiv.org/abs/math/0410089
dc.identifierAnnals of Statistics 2004, Vol. 32, No. 4, 1650-1661
dc.identifierdoi:10.1214/009053604000000481
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130635
dc.subjectStatistics Theory
dc.subject62K05, 62K10. (Primary)
dc.titleOptimality of neighbor-balanced designs for total effects
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