Confidence intervals (based on the χ2 -distribution and (Z) standard normal distribution) for the intraclass correlation coefficient under unequal family sizes based on a single multinormal sample have been proposed. It has been found that the confidence interval based on the χ2 -distribution consistently and reliably produces better results in terms of shorter average interval length than the confidence interval based on the standard normal distribution: especially for larger sample sizes for various intraclass correlation coefficient values. The coverage probability of the interval based on the χ2 -distribution is competitive with the coverage probability of the interval based on the standard normal distribution. An example with real data is presented.
Bhandary, Madhusudan and Fujiwara, Koji
"Confidence Interval Estimation for Intraclass Correlation Coefficient Under Unequal Family Sizes,"
Journal of Modern Applied Statistical Methods: Vol. 8
, Article 16.
Available at: http://digitalcommons.wayne.edu/jmasm/vol8/iss2/16