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Neighbour Balanced Block Designs for Test Treatments-Control Comparisons

A. R. Abeynayake, Seema Jaggi, Cini Varghese

Abstract


Neighbour-balanced designs, wherein the allocation of treatments is such that every treatment occurs equally often with every other treatment as neighbours, are used when the treatment applied to one experimental plot may affect the response on neighbouring plots besides the response to which it is applied. Neighbour-balanced designs ensure that no treatment is unduly disadvantaged by its neighbours. These designs help in estimating the neighbour effects besides the direct effects of treatments. Under the neighbour balanced block design setting, it may sometimes be desired to compare a set of test treatments with a control. The main interest here is to estimate the contrasts pertaining to tests (with respect to direct and neighbours) vs. control with high precision. Some series of neighbour balanced block designs for comparing a set of test treatments to a control have been developed. The designs obtained are totally balanced in the sense that all the contrasts among test treatments for direct, left and right effects are estimated with same variance and all the contrasts pertaining to test vs. control for direct, left and right effects are estimated with the same variance.

Keywords


Direct effects; neighbour effects; test treatments; control; totally balanced design.

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