... observableoutcome of a hierarchy of underlying normal perfor-mances of horses in competition. These unde rlyingperformances serve to estimate breeding values for jumping horses. The parameters of this ... model, i.e.,one trait for each category of event. The estimates of repeatability were obtained with REML using SAS® procmixed [14] for the analysis of true underlying perfor-manc es, normal ... value of grades affected to ordered categories of its competingevents. For example: if there were 3 categories of compe-tition with grades (1, 2, 3), a horse performed 10 events,3ofgrade1,2ofgrade2and5ofgrade3.Thishorsewas...