Abstract
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.
DOI
10.22237/jmasm/1257034500
Included in
Applied Statistics Commons, Social and Behavioral Sciences Commons, Statistical Theory Commons
