Stichprobenumfang zur Schätzung der Dominanzvarianz bei hierarchischer Halb- und Vollgeschwisterstruktur

摘要

Title of the paper: The sampling size for the estimation of the ratio d 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 d-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 d-values of 25, 17, 10 and 5% than the estimation of the ratio d required about 6, 10, 20 and 40 times more data than the estimation of the additive variance. For the case h:d=0.4:0.1 the estimation of d with 8320, 14720, 33040 and 58640 records yielded standard errors of 8, 6, 4 and 3%. In the situation of h:d=0.225:0.075 the same accuracies can be reached with records of 4400, 7760, 17520 and 31040 animals.