ANALYSIS OF DIALLEL TABLES WITH RECIPROCAL CROSSES

The methodology of diallel crosses is extended to provide procedures f or the analysis of variance and estimation of effects when the recipro cal crosses are included. The model of Gardner and Eberhart (Biometric s 22: 439-452, 1966) was used for the analysis of variety dialiel cros ses when reciprocal crosses are included. The least square procedure w as used to derive the formulas for estimation of effects (components o f means) and for the analysis of variance. It was found that the estim ates of effects is the same if the analysis is performed according to the original model, with varieties and the average of reciprocal cross es to represent any hybrid combination. The standard errors of the est imates of effects, however, change in the proposed procedure. The sums of squares in the analysis of variance are different from those obtai ned according to the original model. Some comparisons are made and an example is given for illustration.