Simulation Study to Compare the Performance of Signed Klotz and the Signed Mood Generalized Weighted Coefficients

Aleixo, Sandra M.; Teles, Júlia

In this work a Monte Carlo simulation study was carried out to compare the performance of three weighted coefficients that emphasized the top and bottom ranks at the same time, namely the signed Klotz and the signed Mood weighted coefficients previously proposed by the authors [2] and the van der Waerden weighted coefficient [5], with the Kendall’s coefficient that assigns equal weights to all rankings. The coefficients for m judges studied in this paper generalize the coefficients previously proposed by the authors for two judges in a preliminary work [1] where a simulation study is also carried out. As the main result of the simulation study, we highlight the best performance of Klotz coefficient in detecting concordance in situations where the agreement is located in a lower proportion of extreme ranks, contrary to the case where the agreement is located in a higher proportion of extreme ranks, in which the Signed Mood and van der Waerden coefficients have the best performance.