Article2004

Confidence Interval Estimation of the Intraclass Correlation Coefficient for Binary Outcome Data

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Reliability and Agreement in Measurement Statistical Methods in Clinical Trials Statistical Methods and Bayesian Inference

Abstract

We obtain closed-form asymptotic variance formulae for three point estimators of the intraclass correlation coefficient that may be applied to binary outcome data arising in clusters of variable size. Our results include as special cases those that have previously appeared in the literature (Fleiss and Cuzick, 1979, Applied Psychological Measurement 3, 537-542; Bloch and Kraemer, 1989, Biometrics 45, 269-287; Altaye, Donner, and Klar, 2001, Biometrics 57, 584-588). Simulation results indicate that confidence intervals based on the estimator proposed by Fleiss and Cuzick provide coverage levels close to nominal over a wide range of parameter combinations. Two examples are presented.

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1979Intraclass correlations: Uses in assessing rater reliability.1966The Intraclass Correlation Coefficient as a Measure of Reliability 2002Kappa coefficients in medical research 1979Large sample variance of kappa in the case of different sets of raters.19892 x 2 Kappa Coefficients: Measures of Agreement or Association 1986A Review of Inference Procedures for the Intraclass Correlation Coefficient in the One-Way Random Effects Model 1992A goodness‐of‐fit approach to inference procedures for the kappa statistic: Confidence interval construction, significance‐testing and sample size estimation 1979The Reliability of Dichotomous Judgments: Unequal Numbers of Judges per Subject

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