Abstract
In this paper, two new weighted coefficients of agreement to measure the concordance among several (more than two) sets of ranks, putting more weight in the lower and upper ranks simultaneously, are presented. These new coefficients, the signed Klotz and the signed Mood, generalize the correspondent rank-order coefficients to measure the agreement between two sets of ranks previously proposed by the authors [1]. Under the null hypothesis of no agreement or no association among the rankings, the asymptotic distribution of these new coefficients was derived. To illustrate the worth of these measures, an example is presented to compare them with the Kendall’s coefficient and the van der Waerden correlation coefficient.
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Acknowledgments
Research was partially sponsored by national funds through the Fundação Nacional para a Ciência e Tecnologia, Portugal – FCT, under the projects PEst-OE/SAU/UI0447/2011 and UID/MAT/00006/2019.
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Aleixo, S.M., Teles, J. (2019). Weighted Coefficients to Measure Agreement Among Several Sets of Ranks Emphasizing Top and Bottom Ranks at the Same Time. In: Misra, S., et al. Computational Science and Its Applications – ICCSA 2019. ICCSA 2019. Lecture Notes in Computer Science(), vol 11620. Springer, Cham. https://doi.org/10.1007/978-3-030-24296-1_3
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DOI: https://doi.org/10.1007/978-3-030-24296-1_3
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