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A Comparison of Confidence Interval Methods for the Intraclass Correlation Coefficient

Allan Donner and George Wells
Biometrics
Vol. 42, No. 2 (Jun., 1986), pp. 401-412
DOI: 10.2307/2531060
Stable URL: http://www.jstor.org/stable/2531060
Page Count: 12
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A Comparison of Confidence Interval Methods for the Intraclass Correlation Coefficient
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Abstract

Different methods of obtaining confidence intervals for the intraclass correlation coefficient ρ in the unbalanced one-way random-effects model are investigated, focusing on applications to family studies. Methods based on simple modifications of formulas for the case of equal group sizes are found to provide adequate coverage at small to moderate values of ρ. A method based on the large-sample standard error of the sample intraclass correlation, as derived by Smith (1956, Annals of Human Genetics 21, 363-373), is shown to provide consistently good coverage at all values of ρ. A method proposed by Thomas and Hultquist (1978, Annals of Statistics 6, 582-587) also provides consistently good coverage, but generates mean interval widths substantially greater than those generated by Smith's method at values of ρ likely to arise in practice.

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