Efficient circular neighbour designs for spatial interference model

Pierre Druilhet (1) , Walter Tinsson (2)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal
2 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]

We consider circular block designs for field-trials when there are two-sided spatial interference between neighbouring plots of the same blocks. The parameter of interest is total effects that is the sum of direct effect of treatment and neighbour effects, which correspond to the use of a single treatment in the whole field. We determine universally optimal approximate designs. When the number of blocks may be large, we propose efficient exact designs generated by a single sequence of treatment. We also give efficiency factors of the usual binary block neighbour balanced designs which can be used when the number of blocks is small.

Mots clés: Approximate design; Neighbour design; Optimal design; Total effect; Universal optimality

Domaines: Statistiques [math.ST]; Théorie [stat.TH]

Pierre Druilhet, Walter Tinsson. Efficient circular neighbour designs for spatial interference model. Journal of Statistical Planning and Inference, 2012, 142, pp.1161-1169. ⟨10.1016/j.jspi.2011.11.017⟩. ⟨hal-00803677⟩