Nested balanced incomplete block designs of harmonised series
Journal of the Nigerian Mathematical Society(2015)
Abstract
Block designs are useful in comparative experimentation for improving efficiency of treatment comparisons when working with heterogeneous experimental units. A nested balanced incomplete block design (NBIBD) is a design with two systems of blocks, the second nested within the first, such that ignoring either system leaves a balanced incomplete block design whose blocks are those of the other system. In this study, a new method of construction of nested balanced incomplete block designs for a number of parameter combinations is developed. The resulting design schemes were of the type that harmonizes both the Series-I and Series-II of Rajender et al. (2007) in which a single design scheme that can be used in the construction of both the Series-I and Series-II at the same time was produced.
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Key words
Harmonized series,Complete block designs,Incomplete block designs and nested balanced incomplete block designs
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