Stichprobenumfang zur Schätzung der Dominanzvarianz bei hierarchischer Halb- und Vollgeschwisterstruktur
Abstract. Title of the paper: Sample size for estimation of dominance variance with hierarchical full- and half-sib structure
The sampling size for the estimation of the ratio d2 of the dominance variance to the phenotypic variance is investigated for the case of hierarchical population structures corresponding to the relations in poultry and pig breeding. The standard error of the d2-estimation is calculated by using the Maximum-Likelihood method and the concept of parameter transformation. Estimation of the dominance variance requires much larger data sets than estimation of the additive variance. Assuming d2-values of 25, 17, 10 and 5% than the estimation of the ratio d2 required about 6, 10, 20 and 40 times more data than the estimation of the additive variance. For the case h2:d2=0.4:0.1 the estimation of d2 with 8320, 14720, 33040 and 58640 records yielded standard errors of 8, 6, 4 and 3%. In the situation of h2:d2=0.225:0.075 the same accuracies can be reached with records of 4400, 7760, 17520 and 31040 animals.