Abstract: Given three distinct lines
(varieties or strains), say A, B and C, we can form three
distinct three-way crosses (AB)C, (AC)B and (BC)A.
The set of all possible three-way crosses among the given set of v
lines is termed triallel crosses or a triallel mating design. As the number of
lines v increases, the triallel crosses become too many to be
accommodated within the resources of the breeder. One of the ways to overcome
this situation is to take a sample of three-way crosses, called partial triallel
crosses or partial triallel mating design. In this paper, we construct partial
triallel mating design using partially balanced incomplete block designs with
two associate classes. Estimators for design and genetic components of variance
have been developed based on Hinkelmann’s model.
