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Comparison of ICC and CCC for assessing agreement for data without and with replications

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  • Chen, Chia-Cheng
  • Barnhart, Huiman X.

Abstract

The intraclass correlation coefficient (ICC) has been traditionally used for assessing reliability between multiple observers for data with or without replications. Definitions of different versions of ICCs depend on the assumptions of specific ANOVA models. The parameter estimator for the ICC is usually based on the method of moments with the underlying assumed ANOVA model. This estimator is consistent only if the ANOVA model assumptions hold. Often these ANOVA assumptions are not met in practice and researchers may compute these estimates without verifying the assumptions. ICC is biased if the ANOVA assumptions are not met. We compute the expected value of the ICC estimator under a very general model to get a sense of the population parameter that the ICC estimator provides. We compare this expected value to another popular agreement index, concordance correlation coefficient (CCC), which is defined without ANOVA assumptions. The main findings are reported for data without replication and with replications for three types of ICCs defined by one-way ANOVA model, two-way ANOVA model without interaction and two-way ANOVA model with interaction. A blood pressure example is used for illustration. If the ICC is the choice of agreement index, we recommend to use over other ICCs as its estimate is similar to the estimate of CCC regardless whether the ANOVA assumptions are met or not.

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  • Chen, Chia-Cheng & Barnhart, Huiman X., 2008. "Comparison of ICC and CCC for assessing agreement for data without and with replications," Computational Statistics & Data Analysis, Elsevier, vol. 53(2), pages 554-564, December.
    • Handle: RePEc:eee:csdana:v:53:y:2008:i:2:p:554-564
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    References listed on IDEAS

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    1. Huiman X. Barnhart & Michael Haber & Jingli Song, 2002. "Overall Concordance Correlation Coefficient for Evaluating Agreement Among Multiple Observers," Biometrics, The International Biometric Society, vol. 58(4), pages 1020-1027, December.
    2. Tony Vangeneugden & Annouschka Laenen & Helena Geys & Didier Renard & Geert Molenberghs, 2005. "Applying Concepts of Generalizability Theory on Clinical Trial Data to Investigate Sources of Variation and Their Impact on Reliability," Biometrics, The International Biometric Society, vol. 61(1), pages 295-304, March.
    3. Lin L. & Hedayat A. S. & Sinha B. & Yang M., 2002. "Statistical Methods in Assessing Agreement: Models, Issues, and Tools," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 257-270, March.
    4. Josep L. Carrasco & Lluís Jover, 2003. "Estimating the Generalized Concordance Correlation Coefficient through Variance Components," Biometrics, The International Biometric Society, vol. 59(4), pages 849-858, December.
    5. Huiman X. Barnhart & John M. Williamson, 2001. "Modeling Concordance Correlation via GEE to Evaluate Reproducibility," Biometrics, The International Biometric Society, vol. 57(3), pages 931-940, September.
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    Cited by:

    1. Matheus Pereira Libório & Lívia Maria Leite Silva & Petr Iakovlevitch Ekel & Letícia Ribeiro Figueiredo & Patrícia Bernardes, 2022. "Consensus-Based Sub-Indicator Weighting Approach: Constructing Composite Indicators Compatible with Expert Opinion," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 164(3), pages 1073-1099, December.
    2. Chen, Chia-Cheng & Barnhart, Huiman X., 2013. "Assessing agreement with intraclass correlation coefficient and concordance correlation coefficient for data with repeated measures," Computational Statistics & Data Analysis, Elsevier, vol. 60(C), pages 132-145.
    3. Candelaria de la Merced Díaz‐González & Milagros de la Rosa‐Hormiga & Josefa M. Ramal‐López & Juan José González‐Henríquez & María Sandra Marrero‐Morales, 2018. "Factors which influence concordance among measurements obtained by different pulse oximeters currently used in some clinical situations," Journal of Clinical Nursing, John Wiley & Sons, vol. 27(3-4), pages 677-683, February.

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