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Original Articles

A new weighted rank coefficient of concordance

Pages 1721-1745 | Received 26 Apr 2013, Accepted 28 Jan 2014, Published online: 21 Feb 2014

References

  • M. Banerjee, M. Capozzoli, L. McSweeney, and D. Sinha, Beyond kappa: A review of interrater agreement measures, Can. J. Stat. 27 (1999), pp. 3–23. doi: 10.2307/3315487
  • J.J. Chen, G. Zhang, C. Ji, and G.F. Steinhardt, Simple moment-based inferences of generalized concordance correlation, J. Appl. Stat. 38 (2011), pp. 1867–1882. doi: 10.1080/02664763.2010.529884
  • P.C. Fishburn, Utility theory for decision making, Wiley, New York, 1970.
  • J. Gibbons and S. Chakraborti, Nonparametric statistical inference, 5th ed., CRC Press, Boca Raton, FL, 2011.
  • J. Hájek and Z. S˘idák, Theory of rank tests, Academia, Prague & Academic Press, New York, 1967.
  • S. Hajkowicz and A. Higgins, A comparison of multiple criteria analysis techniques for water resource management, Eur. J. Oper. Res. 184 (2008), pp. 255–265. doi: 10.1016/j.ejor.2006.10.045
  • R. Iman and W. Conover, A measure of top-down correlation, Technometrics 29 (1987), pp. 351–357.
  • R. Iman and J. Davenport, Approximations of the critical region of the Friedman statistic, Commun. Stat. Part A – Theory Methods 9 (1980), pp. 571–595. doi: 10.1080/03610928008827904
  • M. Kendall and J. Gibbons, Rank correlation methods, 5th ed., Edward Arnold, London, 1990.
  • M. Kendall and B. Smith, The problem of m rankings, Ann. Math. Stat. 10 (1939), pp. 275–287. doi: 10.1214/aoms/1177732186
  • P. Legendre, Species associations: The Kendall coefficient of concordance revisited, J. Agric. Biol. Environ. Stat. 10 (2005), pp. 226–245. doi: 10.1198/108571105X46642
  • L. Lin, A concordance correlation coefficient to evaluate reproducibility, Biometrics 45 (1989), pp. 255–268. doi: 10.2307/2532051
  • B. Mareschal, Stochastic multicriteria decision making and uncertainty, Eur. J. Oper. Res. 26 (1986), pp. 58–64. doi: 10.1016/0377-2217(86)90159-1
  • T.A. Maturi and E. Abdelfattah, A new weighted rank correlation, J. Math. Stat. 4 (2008), pp. 226–230. doi: 10.3844/jmssp.2008.226.230
  • T.A. Maturi and A. Elsayigh, A comparison of correlation coefficients via a three-step bootstrap approach, J. Math. Res. 2 (2010), pp. 3–10.
  • S. Meintanis and G. Iliopoulos, Fourier methods for testing multivariate independence, Comput. Stat. Data Anal. 52 (2008), pp. 1884–1895. doi: 10.1016/j.csda.2007.06.005
  • S. Nam, H. Kim, and B. Kim, An alternative approach to evaluating the agreement between financial markets, J. Int. Financ. Markets, Institutions Money 20 (2010), pp. 13–35. doi: 10.1016/j.intfin.2009.11.001
  • J.W. Pratt, Risk aversion in the small and in the large, Econometrica 32 (1964), pp. 122–136. doi: 10.2307/1913738
  • M. Raghavachari, Measures of concordance for assessing agreement in ratings and rank order data, in Advances in Ranking and Selection, Multiple Comparisons, and Reliability, Statistics for Industry and Technology, N. Balakrishnan, H. Nagaraja, and N. Kannan, eds., Birkhäuser, Boston, 2005, pp. 245–263.
  • Y. Sertdemir, H.R. Burgut, Z.N. Alparslan, I. Unal, and S. Gunasti, Comparing the methods of measuring multi-rater agreement on an ordinal rating scale: A simulation study with an application to real data, J. Appl. Stat. 40 (2013), pp. 1506–1519. doi: 10.1080/02664763.2013.788617
  • J. Teles, Concordance coefficients to measure the agreement among several sets of ranks, J. Appl. Stat. 39 (2012), pp. 1749–1764. doi: 10.1080/02664763.2012.681460
  • G. Vidmar and N. Rode, Visualising concordance, Comput. Stat. 22 (2007), pp. 499–509. doi: 10.1007/s00180-007-0057-9
  • W. Wallis, The correlation ratio for ranked data, J. Am. Stat. Assoc. 34 (1939), pp. 533–538. doi: 10.1080/01621459.1939.10503552

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