, Volume 26, Issue 3, pp 537-551

A general method for the analysis of genetic variation in complete and incomplete diallels and North Carolina II designs. Part I: Procedures and general formulas for the random model

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In two papers formulas are given which can be used in analysing genetic variation in all types of connected diallel cross designs: complete and incomplete, balanced and unbalanced as well as North Carolina II designs.

This first paper gives explicit expressions for the coefficients of variance components in the random model analysis for the general diallel cross.

Computations are illustrated with simple balanced examples. For the same examples a fixed model analysis, introducing reduced parameters has been worked out for the sake of completeness. The details of the fixed model analysis will be presented in the second paper.