Optimal Circular Block Designs for Neighbouring Competition EffectsSeema Jaggi, Cini Varghese and V.K. Gupta Journal of Applied Statistics, 2007, vol. 34, issue 5, pages 577-584 Abstract: Competition or interference occurs when the responses to treatments in experimental units are affected by the treatments in neighbouring units. This may contribute to variability in experimental results and lead to substantial losses in efficiency. The study of a competing situation needs designs in which the competing units appear in a predetermined pattern. This paper deals with optimality aspects of circular block designs for studying the competition among treatments applied to neighbouring experimental units. The model considered is a four-way classified model consisting of direct effect of the treatment applied to a particular plot, the effect of those treatments applied to the immediate left and right neighbouring units and the block effect. Conditions have been obtained for the block design to be universally optimal for estimating direct and neighbour effects. Some classes of balanced and strongly balanced complete block designs have been identified to be universally optimal for the estimation of direct, left and right neighbour effects and a list of universally optimal designs for v<20 and r<100 has been prepared. Keywords: Circular block design; universal optimality; direct effects; neighbour effects; balanced and strongly balanced design (search for similar items in EconPapers) Downloads: (external link) Related works: Ordering information: This journal article can be ordered from Access Statistics for this article Journal of Applied Statistics is edited by Professor Gopal K. Kanji More articles in Journal of Applied Statistics from Taylor and Francis Journals |
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