Journal ArticleDOI
Design of Experiments for Studying Intergenotypic Competition
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This article is published in Journal of the royal statistical society series b-methodological.The article was published on 1987-07-01. It has received 31 citations till now. The article focuses on the topics: Competition (economics) & Restricted randomization.read more
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A catalogue of efficient neighbour-designs with border plots
TL;DR: In this paper, the authors consider linear blocks with border plots, in which a treatment may affect the response on the two adjacent plots, and three series of designs are given: (i) neighbour-balanced designs in complete blocks; (ii) neighbourbalanced designs with border blocks each of which lacks one treatment; (iii) partially neighbor-balanced design in few complete blocks.
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Round-dance neighbour designs from terraces
TL;DR: It is shown how terraces for the cyclic group of order n are used to construct elegantly patterned round-dance neighbour designs for n2^m+1 objects for any positive integer m.
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Optimality of neighbour balanced designs when neighbour effects are neglected
Jean-Marc Azaïs,Pierre Druilhet +1 more
TL;DR: In this paper, the optimality properties of neighbour balanced designs when neighbor effects are not taken into account in the analysis model were studied. But the authors only considered two types of designs for t treatments: (1) designs with t − 1 blocks of length t and (2) ones with t blocks of lengths t − 2.
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Sensory experiments as crossover studies
TL;DR: In this paper, the authors used simulation to demonstrate that randomization validates an analysis and also demonstrated that carryover effects can destroy this validity, even if the presence of carrover effects is suspected.
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Variance-balanced designs under interference for dependent observations
R. J. Martin,John A. Eccleston +1 more
TL;DR: In this article, it was shown that variance-balanced designs can be obtained from Type I orthogonal arrays for many general models with two kinds of treatment effects, including ones for interference, with general dependence structures.
References
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Journal ArticleDOI
Statistical Analysis of Field Experiments Using Neighbouring Plots
Julian Besag,Rob A. Kempton +1 more
TL;DR: In this article, the authors describe and provide examples of four different applications of the use of neighbouring plot values in the analysis of agricultural field experiments, including check plots to control environmental variation in large unreplicated variety trials; spatial models, based on first differences, to accommodate fertility effects in trials that have some degree of replication; adjustment for interplot competition using a simultaneous-equations formulation.
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Complete Counterbalancing of Immediate Sequential Effects in a Latin Square Design
TL;DR: In this article, a simple and easily remembered procedure by which to construct a Latin square is described and illustrated, and a proof is offered which shows that the procedure is valid for any size square having an even number of cells on a side.
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Adjustment for competition between varieties in plant breeding trials.
TL;DR: In this paper, a method for correcting for competition effects in yield trials by joint regression of plot yields on to the yields of neighbours is proposed for a sugar-beet trial with single-row plots where competition effects are assumed to extend only to plants in immediately adjacent rows.
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Inter-plot competition in variety trials of field beans (Vicia faba L.)
R. A. Kempton,G. Lockwood +1 more
TL;DR: The results suggest that, when testing varieties differing in height by more than 20 cm, at least two buffer rows are required to obtain a true comparison of pure-stand yield, and one of the statistical models adapted in this paper may be used to adjust variety yields for pure stands.
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Serially Balanced Sequences in Bioassay
TL;DR: In order to prevent trends in the responsiveness of a subject from inflating the experimental error, randomized block and Latin square designs have been adapted to experiments involving a greater number of different doses.