IDEAS home Printed from https://ideas.repec.org/a/taf/japsta/v41y2014i8p1721-1745.html
   My bibliography  Save this article

A new weighted rank coefficient of concordance

Author

Listed:
  • Tahani Coolen-Maturi

Abstract

There are many situations where n objects are ranked by b >2 independent sources or observers and in which the interest is focused on agreement on the top rankings. Kendall's coefficient of concordance [10] assigns equal weights to all rankings. In this paper, a new coefficient of concordance is introduced which is more sensitive to agreement on the top rankings. The limiting distribution of the new concordance coefficient under the null hypothesis of no association among the rankings is presented, and a summary of the exact and approximate quantiles for this coefficient is provided. A simulation study is carried out to compare the performance of Kendall's, the top-down and the new concordance coefficients in detecting the agreement on the top rankings. Finally, examples are given for illustration purposes, including a real data set from financial market indices.

Suggested Citation

  • Tahani Coolen-Maturi, 2014. "A new weighted rank coefficient of concordance," Journal of Applied Statistics, Taylor & Francis Journals, vol. 41(8), pages 1721-1745, August.
    • Handle: RePEc:taf:japsta:v:41:y:2014:i:8:p:1721-1745
    DOI: 10.1080/02664763.2014.889664
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/02664763.2014.889664
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/02664763.2014.889664?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. John J. Chen & Guangxiang Zhang & Chen Ji & George F. Steinhardt, 2011. "Simple moment-based inferences of generalized concordance correlation," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(9), pages 1867-1882, October.
    2. Hajkowicz, Stefan & Higgins, Andrew, 2008. "A comparison of multiple criteria analysis techniques for water resource management," European Journal of Operational Research, Elsevier, vol. 184(1), pages 255-265, January.
    3. Mareschal, Bertrand, 1986. "Stochastic multicriteria decision making and uncertainty," European Journal of Operational Research, Elsevier, vol. 26(1), pages 58-64, July.
    4. Meintanis, Simos G. & Iliopoulos, George, 2008. "Fourier methods for testing multivariate independence," Computational Statistics & Data Analysis, Elsevier, vol. 52(4), pages 1884-1895, January.
    5. Nam, Seung Oh & Kim, Hyun Kyung & Kim, Byung Chun, 2010. "An alternative approach to evaluating the agreement between financial markets," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 20(1), pages 13-35, February.
    6. Gaj Vidmar & Nino Rode, 2007. "Visualising concordance," Computational Statistics, Springer, vol. 22(4), pages 499-509, December.
    7. Júlia Teles, 2012. "Concordance coefficients to measure the agreement among several sets of ranks," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(8), pages 1749-1764, March.
    8. Y. Sertdemir & H. R. Burgut & Z. N. Alparslan & I. Unal & S. Gunasti, 2013. "Comparing the methods of measuring multi-rater agreement on an ordinal rating scale: a simulation study with an application to real data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 40(7), pages 1506-1519, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Tahani Coolen-Maturi, 2016. "New weighted rank correlation coefficients sensitive to agreement on top and bottom rankings," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(12), pages 2261-2279, September.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tahani Coolen-Maturi, 2016. "New weighted rank correlation coefficients sensitive to agreement on top and bottom rankings," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(12), pages 2261-2279, September.
    2. Behzadian, Majid & Kazemzadeh, R.B. & Albadvi, A. & Aghdasi, M., 2010. "PROMETHEE: A comprehensive literature review on methodologies and applications," European Journal of Operational Research, Elsevier, vol. 200(1), pages 198-215, January.
    3. Mulliner, Emma & Smallbone, Kieran & Maliene, Vida, 2013. "An assessment of sustainable housing affordability using a multiple criteria decision making method," Omega, Elsevier, vol. 41(2), pages 270-279.
    4. Wu, Edmond H.C. & Yu, Philip L.H. & Li, W.K., 2009. "A smoothed bootstrap test for independence based on mutual information," Computational Statistics & Data Analysis, Elsevier, vol. 53(7), pages 2524-2536, May.
    5. Meintanis, Simos G. & Hušková, Marie & Hlávka, Zdeněk, 2022. "Fourier-type tests of mutual independence between functional time series," Journal of Multivariate Analysis, Elsevier, vol. 189(C).
    6. José Ribas, 2014. "An Assessment of Conflicting Intentions in the Use of Multipurpose Water Reservoirs," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(12), pages 3989-4000, September.
    7. Siew, Tuck Fatt, 2008. "Transferable decision-making procedure for integrated flood management: A theoretical approach to the micro studies of human decision-making and decision makers heuristics," Working Papers 49-2008, University of Freiburg, Chair of Forestry Economics and Planning.
    8. Kim, Deok-Hwan & Kim, Kwang-Jae & Sam Park, K., 2010. "Compromising prioritization from pairwise comparisons considering type I and II errors," European Journal of Operational Research, Elsevier, vol. 204(2), pages 285-293, July.
    9. Durbach, Ian N. & Stewart, Theodor J., 2012. "A comparison of simplified value function approaches for treating uncertainty in multi-criteria decision analysis," Omega, Elsevier, vol. 40(4), pages 456-464.
    10. Francesco Ciardiello & Andrea Genovese, 2023. "A comparison between TOPSIS and SAW methods," Annals of Operations Research, Springer, vol. 325(2), pages 967-994, June.
    11. Mardani, Abbas & Zavadskas, Edmundas Kazimieras & Khalifah, Zainab & Zakuan, Norhayati & Jusoh, Ahmad & Nor, Khalil Md & Khoshnoudi, Masoumeh, 2017. "A review of multi-criteria decision-making applications to solve energy management problems: Two decades from 1995 to 2015," Renewable and Sustainable Energy Reviews, Elsevier, vol. 71(C), pages 216-256.
    12. van Huylenbroeck, G., 1995. "The conflict analysis method: bridging the gap between ELECTRE, PROMETHEE and ORESTE," European Journal of Operational Research, Elsevier, vol. 82(3), pages 490-502, May.
    13. Syed Hammad Mian & Khaja Moiduddin & Hisham Alkhalefah & Mustufa Haider Abidi & Faraz Ahmed & Faraz Hussain Hashmi, 2023. "Mechanisms for Choosing PV Locations That Allow for the Most Sustainable Usage of Solar Energy," Sustainability, MDPI, vol. 15(4), pages 1-24, February.
    14. Punys, P. & Radzevičius, A. & Kvaraciejus, A. & Gasiūnas, V. & Šilinis, L., 2019. "A multi-criteria analysis for siting surface-flow constructed wetlands in tile-drained agricultural catchments: The case of Lithuania," Agricultural Water Management, Elsevier, vol. 213(C), pages 1036-1046.
    15. Thomas L. Saaty & Daji Ergu, 2015. "When is a Decision-Making Method Trustworthy? Criteria for Evaluating Multi-Criteria Decision-Making Methods," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 14(06), pages 1171-1187, November.
    16. Thomas Vanoutrive & Ann Verhetsel (ed.), 2013. "Smart Transport Networks," Books, Edward Elgar Publishing, number 15483.
    17. Paweł Ziemba, 2019. "Inter-Criteria Dependencies-Based Decision Support in the Sustainable wind Energy Management," Energies, MDPI, vol. 12(4), pages 1-29, February.
    18. Simos G. Meintanis & Joseph Ngatchou-Wandji & James Allison, 2018. "Testing for serial independence in vector autoregressive models," Statistical Papers, Springer, vol. 59(4), pages 1379-1410, December.
    19. Harrison Mutikanga & Saroj Sharma & Kalanithy Vairavamoorthy, 2011. "Multi-criteria Decision Analysis: A Strategic Planning Tool for Water Loss Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(14), pages 3947-3969, November.
    20. Cathy Macharis & Peter Nijkamp, 2013. "Stakeholder bias in multi-actor multi-criteria transportation evaluation: issues and solutions," Chapters, in: Thomas Vanoutrive & Ann Verhetsel (ed.), Smart Transport Networks, chapter 12, pages 248-268, Edward Elgar Publishing.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:taf:japsta:v:41:y:2014:i:8:p:1721-1745. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/CJAS20 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.