Document Details Document Type : Article In Journal  Document Title : A new weighted rank correlation A new weighted rank correlation   Subject : Mathematics and Statistics  Document Language : English  Abstract : Problem Statement: There have been many cases in real life where two independent sources have ranked n objects, with the interest focused on agreement in the top rankings. Spearman's rho and Kendall's tau coefficients assigned equal weights to all rankings. As a result, the literature proposed several weighted correlation coefficients with emphasis on the top rankings, including the top-down, weighted Kendall's Tau and Blest's correlation coefficient. Approach: This article introduced a new weighted rank correlation coefficient that was sensitive to agreement in the top rankings. It presented the limiting distribution under the null hypothesis of independence and provided a summary of quantiles of the exact null distribution for n = 3(1)9. Results: The article summarized the power comparison between the new weighted coefficient and other weighted coefficients, and showed that the new weighted rank correlation coefficient provided the locally most powerful rank test. Conclusions/Recommendations: The new weighted correlation should be used along with other weighted coefficients when the interest focused on agreement in the top rankings, in order to make an effective inference. © 2008 Science Publications.  ISSN : 1549-3644  Journal Name : Journal of Mathematics and Statistics, 4 (4), pp. 226-230  Volume : 4  Issue Number : 4  Publishing Year : 2008 AH 2008 AD  Number Of Pages : 5  Article Type : Article  Added Date : Thursday, October 15, 2009  Researchers Researcher Name (Arabic) Researcher Name (English) Researcher Type Dr Grade Email تهاني عبدالصمد عامر مطيوري Tahani A. Maturi Researcher Doctorate tmaturi@kau.edu.sa Ezz H. Abdelfattah Ezz H. Abdelfattah Researcher Doctorate   Back To Researches Page