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Analysing Intraclass Correlation for Dichotomous Variables

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  • Tak K. Mak

Abstract

This paper deals with the analyses of intraclass correlation in littermate data with a dichotomous response variable. The common correlation model which includes many well‐known parametric models as special cases is studied. It is seen that the classical sample measure of intraclass correlation based on formulae in variance component models is a consistent estimator of p, a population parameter measuring the strength of intraclass correlation under the common correlation model. The asymptotic variance of this sample measure is also derived and the approximation to the asymptotic variance suggested by some researchers is demonstrated to be inadequate. The asymptotic theory, which does not require large litter sizes, is believed to be more relevant in some biological or toxicological applications than the uses of some existing algorithms for approximating asymptotic variances. A new kappa‐type sample measure of intraclass correlation is also proposed and its efficiency as an estimator of p is compared numerically with the variance component estimator based on the derived variance formulae. The results established are also applied to a real example.

Suggested Citation

  • Tak K. Mak, 1988. "Analysing Intraclass Correlation for Dichotomous Variables," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 37(3), pages 344-352, November.
    • Handle: RePEc:bla:jorssc:v:37:y:1988:i:3:p:344-352
    DOI: 10.2307/2347309
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    Cited by:

    1. 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.
    2. Bei Wang & Yi Zheng & Kyle M. Irimata & Jeffrey R. Wilson, 2019. "Bootstrap ICC estimators in analysis of small clustered binary data," Computational Statistics, Springer, vol. 34(4), pages 1765-1778, December.
    3. Allan Dormer & Guangyong Zou, 2002. "Interval Estimation for a Difference Between Intraclass Kappa Statistics," Biometrics, The International Biometric Society, vol. 58(1), pages 209-215, March.
    4. Guogen Shan & Changxing Ma, 2014. "Efficient tests for one sample correlated binary data with applications," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 23(2), pages 175-188, June.
    5. Mekibib Altaye & Allan Dormer & Neil Klar, 2001. "Inference Procedures for Assessing Interobserver Agreement among Multiple Raters," Biometrics, The International Biometric Society, vol. 57(2), pages 584-588, June.

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