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Related Experiment Videos

A comparison of confidence interval methods for the intraclass correlation coefficient.

A Donner, G Wells

    Biometrics
    |June 1, 1986
    PubMed
    Summary

    Investigating confidence intervals for intraclass correlation coefficient (ICC) in family studies, this research found that Smith's method offers consistently good coverage across all ICC values. Simple modifications work well for small to moderate ICCs, but Thomas and Hultquist's method yields wider intervals.

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    Area of Science:

    • Biostatistics
    • Statistical Genetics
    • Family Studies Research

    Background:

    • The intraclass correlation coefficient (ICC) is crucial for quantifying familial resemblance in genetic and biometric studies.
    • Unbalanced one-way random-effects models are frequently employed in family studies, necessitating robust methods for ICC estimation.
    • Accurate confidence intervals for ICC are vital for reliable interpretation of familial aggregation and heritability estimates.

    Purpose of the Study:

    • To evaluate and compare different methods for constructing confidence intervals for the ICC in unbalanced one-way random-effects models.
    • To assess the performance of these methods, particularly in the context of family studies with varying group sizes.
    • To identify the most reliable and practical method for obtaining accurate ICC confidence intervals.

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    Main Methods:

    • Investigated methods based on modifications of formulas for equal group sizes.
    • Examined a method utilizing the large-sample standard error of the sample ICC, as derived by Smith (1956).
    • Assessed a method proposed by Thomas and Hultquist (1978) for ICC confidence interval construction.

    Main Results:

    • Methods based on simple modifications provided adequate coverage for small to moderate ICC values.
    • Smith's method demonstrated consistently good coverage across all ICC values, proving robust.
    • Thomas and Hultquist's method also offered good coverage but resulted in significantly wider intervals compared to Smith's method for practically relevant ICC values.

    Conclusions:

    • Smith's method is recommended for its consistently good coverage and practical interval widths in family studies.
    • Simple modifications to equal-group-size formulas are acceptable for smaller ICC values.
    • While effective, the Thomas and Hultquist method may be less efficient due to wider confidence intervals.