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Characterisation of Certain Split-Block Designs with a Control
Authors:Iwona Mejza
Abstract:The paper deals with an incomplete split-block design in which one or two factors are split into two parts, the first one containing test treatments and the second one — a control treatment. The aim of the experiment carried out in such design is to compare the average of the test treatment effects with the control treatment effect and the test treatment effects with the control treatment effect individually. All those comparisons can be expressed by contrasts, elementary or basic ones. The aim of the paper is to characterise particular cases of the incomplete split-block designs with respect to general balance and to efficiency factors of the design with respect to the contrasts. In the paper we restrict our attention to the designs in which each block has two rows or/and two columns only. These designs are suitable for certain agricultural experiments.
Keywords:Efficiency factors  Elementary contrasts  General balance  Incomplete split-block design  Multistratum experiment  Recovery of inter-strata information
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