The development of Rasch model to analyze the ranking of elimination system with double repechage

The purpose of this study was to estimate the performances of elimination system with double repechage by using Many-Facet Rasch model. The subjects were the women players of Athens 2004 Olympic Judo Game (- 48 kg, extra-light). In the measurement design, the elimination system with double repechage included ‘facet’ and ‘hierarchical’ factor; there were two repechage matches in addition to the main elimination matches. This study used an estimate elimination matches’ model by the design of Yau’s development in 2004, the losing of 1/16 hierarchical anchored at -0.43; the scoring model was 3 points model and anchored at -0.33. the result of estimation in this research was successful, estimated potential was almost equal to the competition result ranking, the only deficit was an disorder appeared to one player; in further analysis, this result could be accept because the winning percent was the same and the competitor include the gold medal, so that the unreasonable higher estimation could be happen. However, limited by the hierarchical factor, there were players with high estimate potential did not get good ranking. In conclusion, our method quantized the ranking of Olympic judo elimination system with double repechage successfully.