Some Theoretical Aspects of Analysis in Half Diallel

The analysis of F₁ and F₂ half diallel has been discussed as compared to full diallel without reciprocal effects given by MATHER and JINKS (1971). In practice, mostly the half diallel (one-way) crosses are prepared and erroreously analysed using the least square estimates of full diallel without reciprocal effects. The H₁ and H₂, however, appeared to be over estimated when full diallel without reciprocal effects estimates were used in place of those of half diallel. Least square estimates were also obtained assuming heterogeneity of error components between parents and F₁/F₂ families.