Constructions of Partial Diallel Cross

Various forms of the diallel crosses play an important role in evaluating the breeding potential of genetic material in plant and animal breeding. In this paper we give the simple method of construction of partial diallel cross design through partially balanced incomplete block design as auxiliary design with the method of analysis and also see the importance of partial diallel cross design through partially balanced incomplete block design when large number of inbred line exist in plant and animal breeding experiment. We compare the efficiencies of our proposed designs with other existing designs for partial diallel cross in the literature and found that several our designs have higher A- and D-efficiency in comparison to the existing designs. The result provides a new partial diallel cross designs for plant and animal breeding experiments.