IDEAS home Printed from https://ideas.repec.org/a/eee/csdana/v55y2011i2p1061-1070.html
   My bibliography  Save this article

Fixed-effects modeling of Cohen's weighted kappa for bivariate multinomial data

Author

Listed:
  • Yang, Jingyun
  • Chinchilli, Vernon M.

Abstract

Cohen's kappa and weighted kappa statistics are the conventional methods that are used widely in measuring agreement for categorical responses. In this paper, we propose a general framework for the fixed-effects modeling of Cohen's weighted kappa for bivariate multinomial data which reduces to Cohen's weighted kappa under certain conditions and hence can be considered as a generalization of the conventional Cohen's weighted kappa. Properties of the proposed method are investigated followed by an evaluation of the asymptotic performance through bootstrap simulation studies and two illustrative examples. Our derivation shows that the Fleiss-Cohen weights, one of the popular weight schemes for Cohen's weighted kappa, might have some unappealing analytical properties, although these do not appear to cause an issue in application.

Suggested Citation

  • Yang, Jingyun & Chinchilli, Vernon M., 2011. "Fixed-effects modeling of Cohen's weighted kappa for bivariate multinomial data," Computational Statistics & Data Analysis, Elsevier, vol. 55(2), pages 1061-1070, February.
    • Handle: RePEc:eee:csdana:v:55:y:2011:i:2:p:1061-1070
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-9473(10)00342-7
    Download Restriction: Full text for ScienceDirect subscribers only.
    ---><---

    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. Liu, Xueli & Lee, Sheng-Chien & Casella, George & Peter, Gary F., 2008. "Assessing agreement of clustering methods with gene expression microarray data," Computational Statistics & Data Analysis, Elsevier, vol. 52(12), pages 5356-5366, August.
    2. Stuart R. Lipsitz & Nan M. Laird & Troyen A. Brennan, 1994. "Simple Moment Estimates of the κ‐Coefficient and its Variance," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 43(2), pages 309-323, June.
    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. Pingke Li, 2016. "A Note on the Linearly and Quadratically Weighted Kappa Coefficients," Psychometrika, Springer;The Psychometric Society, vol. 81(3), pages 795-801, September.
    2. Tarald O. Kvålseth, 2018. "An Alternative Interpretation of the Linearly Weighted Kappa Coefficients for Ordinal Data," Psychometrika, Springer;The Psychometric Society, vol. 83(3), pages 618-627, September.
    3. Warrens, Matthijs J., 2013. "The Cicchetti–Allison weighting matrix is positive definite," Computational Statistics & Data Analysis, Elsevier, vol. 59(C), pages 180-182.

    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. Liu, Shen & Maharaj, Elizabeth Ann & Inder, Brett, 2014. "Polarization of forecast densities: A new approach to time series classification," Computational Statistics & Data Analysis, Elsevier, vol. 70(C), pages 345-361.
    2. Matthijs Warrens, 2010. "A Formal Proof of a Paradox Associated with Cohen’s Kappa," Journal of Classification, Springer;The Classification Society, vol. 27(3), pages 322-332, November.
    3. Huiman X. Barnhart & John M. Williamson, 2002. "Weighted Least-Squares Approach for Comparing Correlated Kappa," Biometrics, The International Biometric Society, vol. 58(4), pages 1012-1019, December.
    4. Douzal-Chouakria, Ahlame & Diallo, Alpha & Giroud, Françoise, 2009. "Adaptive clustering for time series: Application for identifying cell cycle expressed genes," Computational Statistics & Data Analysis, Elsevier, vol. 53(4), pages 1414-1426, February.
    5. Haruhiko Ogasawara, 2021. "A Unified Treatment of Agreement Coefficients and their Asymptotic Results: the Formula of the Weighted Mean of Weighted Ratios," Journal of Classification, Springer;The Classification Society, vol. 38(2), pages 390-422, July.
    6. Liu, Shen & Maharaj, Elizabeth Ann, 2013. "A hypothesis test using bias-adjusted AR estimators for classifying time series in small samples," Computational Statistics & Data Analysis, Elsevier, vol. 60(C), pages 32-49.
    7. Marín, J.M. & Rodríguez-Bernal, M.T., 2012. "Multiple hypothesis testing and clustering with mixtures of non-central t-distributions applied in microarray data analysis," Computational Statistics & Data Analysis, Elsevier, vol. 56(6), pages 1898-1907.
    8. Barbara Więckowska & Katarzyna B. Kubiak & Paulina Jóźwiak & Wacław Moryson & Barbara Stawińska-Witoszyńska, 2022. "Cohen’s Kappa Coefficient as a Measure to Assess Classification Improvement following the Addition of a New Marker to a Regression Model," IJERPH, MDPI, vol. 19(16), pages 1-15, August.
    9. Allison, David B. & Visscher, Peter M. & Rosa, Guilherme J.M. & Amos, Christopher I., 2009. "Statistical genetics & statistical genomics: Where biology, epistemology, statistics, and computation collide," Computational Statistics & Data Analysis, Elsevier, vol. 53(5), pages 1531-1534, March.
    10. Guangyong Zou & Allan Donner, 2004. "Confidence Interval Estimation of the Intraclass Correlation Coefficient for Binary Outcome Data," Biometrics, The International Biometric Society, vol. 60(3), pages 807-811, September.

    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:eee:csdana:v:55:y:2011:i:2:p:1061-1070. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/csda .

    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.