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Kendall's Coefficient of Concordance01:20

Kendall's Coefficient of Concordance

Kendall's Coefficient of Concordance (W), also known as Kendall's W, is a non-parametric statistical measure used to assess the agreement or concordance between multiple raters or judges when they rank a set of items. It is often used when you have ordinal data (ranks) and you want to see if there is consistency or consensus among the raters. It is widely applied in research areas such as psychology, medicine, and social sciences, where multiple judges are asked to rank or rate subjects or...
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Correlation of Experimental Data01:23

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Coefficient of Correlation01:12

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The correlation coefficient, r, developed by Karl Pearson in the early 1900s, is numerical and provides a measure of strength and direction of the linear association between the independent variable x and the dependent variable y.
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The correlation coefficient, r, developed by Karl Pearson in the early 1900s, is numerical and provides a measure of strength and direction of the linear association between the independent variable, x, and the dependent variable, y. Hence, it is also known as the Pearson product-moment correlation coefficient. It can be calculated using the following equation:
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation01:24

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Related Experiment Video

Updated: Jun 19, 2026

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
04:35

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach

Published on: July 3, 2020

A generalized concordance correlation coefficient based on the variance components generalized linear mixed models

Josep L Carrasco1

  • 1Bioestadistica, Departament de Salut Publica, Universitat de Barcelona, Barcelona, Spain. jlcarrasco@ub.edu

Biometrics
|October 13, 2009
PubMed
Summary

This study generalizes the concordance correlation coefficient (CCC) for non-normal data using generalized linear mixed models (GLMMs). The new method accurately measures agreement in overdispersed count data, like CD34+ cell counts.

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Using Cholesky Decomposition to Explore Individual Differences in Longitudinal Relations between Reading Skills
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Area of Science:

  • Biostatistics
  • Statistical Modeling

Background:

  • The classical concordance correlation coefficient (CCC) assumes normal data and linear relationships.
  • This limits its application in many real-world scenarios, especially with non-normally distributed data.

Purpose of the Study:

  • To generalize the CCC for any distribution within the exponential family.
  • To apply the generalized CCC to overdispersed count data using generalized linear mixed models (GLMMs).

Main Methods:

  • Generalization of the CCC using generalized linear mixed models (GLMMs) theory.
  • Application to overdispersed count data, exemplified by CD34+ cell counts.
  • Definition and application of different CCCs by varying the GLMM for data fitting.

Main Results:

  • The generalized CCC effectively handles non-normal and overdispersed count data.
  • Demonstrated applicability using CD34+ cell count data.
  • Simulation studies confirmed the procedure's behavior with small to moderate sample sizes.

Conclusions:

  • The proposed GLMM-based CCC provides a flexible and robust measure of agreement for diverse data distributions.
  • This advancement expands the utility of CCC in various scientific fields dealing with non-normal data.