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On Totally Balanced Block Designs for Competition Effects

机译：论竞争效应的完全平衡块设计

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摘要

Competition between neighbouring units in field experiments is a serious source of bias. The study of a competing situation needs construction of an environment in which it can happen and the competing units have to appear in a predetermined pattern. This paper describes methods of constructing incomplete block designs balanced for neighbouring competition effects. The designs obtained are totally balanced in the sense that all the effects, direct and neighbours, are estimated with the same variance. The efficiency of these designs has been computed as compared to a complete block design balanced for neighbours and a catalogue has also been prepared.
机译：野外实验中相邻单元之间的竞争是造成偏差的严重原因。对竞争态势的研究需要构建一种可能发生这种竞争的环境，并且竞争性单位必须以预定的模式出现。本文介绍了构建平衡的设计以平衡相邻竞争效应的方法。所获得的设计在某种意义上是完全平衡的，因为所有效果（直接和邻近）都以相同的方差估算。与针对邻居平衡的完整模块设计相比，已经计算出这些设计的效率，并且还准备了目录。

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