Small Sample Tests For The Equality Of Intraclass Correlation Coefficients Under Unequal Family Sizes

In this paper, the test for equality of several intraclass correlation coefficients is proposed when the sample size is small. First, we consider a case with two populations. The exact null distribution of the test statistic is derived. We use a Monte Carlo simulation study and find that the performance of our new test is superior to the tests that were proposed by Young and Bhandary (1998). Work is then extended to develop a test for three intraclass correlation coefficients. Monte Carlo simulation studies are also conducted to compare our new test and the test that was proposed by Bhandary and Alam (2000). Based on our simulation result, we recommend our new test in practice when the sample sizes are small.