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Optimal Designs for Best Linear Unbiased Prediction in Diallel Crosses
Abstract:ABSTRACT

Recently, Ghosh and Das (2003 Ghosh , H. , Das , A. ( 2003 ). Optimal diallel cross designs for estimation of heritability . J. Statist. Plann. Inference 116 : 185196 . Google Scholar]) considered the estimation of variance components and the variances of these estimates. While comparing the yielding capacities of the cross (i, j), Kempthorne and Curnow (1961 Kempthorne , O. , Curnow , R. N. ( 1961 ). The partial diallel cross . Biometrics 17 : 229250 .Crossref], Web of Science ®] Google Scholar]) proposed the estimation of the yielding capacity of any cross based on the least square estimators of the general combining ability effects and/or the mean yield of the cross (i, j). In this article, the problem of predicting the yielding capacity of the cross (i, j) from the sample of inbred lines has been considered. The properties of the best linear unbiased predictor for predicting the unobserved general combining ability effects together with general mean effect has been studied. We characterize A-optimal complete diallel cross designs and some efficient partial diallel cross designs under this setup.
Keywords:A-optimality  BLUP  Efficient design  Partial diallel cross  Variance components
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