Optimal Incomplete Block Designs for Complete Diallel Cross System IV
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Date
2010-06
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Addis Abeba university
Abstract
In this study we used triangular partially balanced incomplete block design with two
associate classes to construct optimal incomplete block designs for complete diallel cross
system IV. A method is proposed to analyze Mating-Environment designs for estimating
general combining ability and specific combining ability effects of lines. The designs
derived are all variance-balanced in the sense that the variances of the best linear unbiased
estimators of elementary contrasts among general combining ability effects are all the
same. In this study we report some triangular designs which are found optimal in the sense
of Kempthorne (1956). These designs are not listed by Dey and Midha (1996), Parsad and
Gupta (2004) and Sharma and Fanta (2010). The analysis of these designs is presented with
help of a numerical data
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Block Designs