Donner A, Wells G
Biometrics. 1986 Jun;42(2):401-12.
Different methods of obtaining confidence intervals for the intraclass correlation coefficient rho 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 rho. 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 rho. 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 rho likely to arise in practice.
研究了在不平衡单向随机效应模型中获取组内相关系数ρ置信区间的不同方法，重点关注其在家族研究中的应用。发现基于对组大小相等情况下公式进行简单修改的方法，在ρ取值较小到中等时能提供足够的覆盖率。由史密斯（1956年，《人类遗传学纪事》21卷，第363 - 373页）推导得出的基于样本组内相关大样本标准误差的方法，在ρ的所有取值下均能始终如一地提供良好的覆盖率。托马斯和赫尔特奎斯特（1978年，《统计学年鉴》6卷，第582 - 587页）提出的一种方法也能始终如一地提供良好的覆盖率，但在实际可能出现的ρ取值下，其生成的平均区间宽度比史密斯方法生成的要大得多。
