Test for Intraclass Correlation Coefficient under Unequal Family Sizes

Test for Intraclass Correlation Coefficient under Unequal Family Sizes

Three tests are proposed based on F-distribution, Likelihood Ratio Test (LRT) and large sample Z-test for intraclass correlation coefficient under unequal family sizes based on a single multinormal sample. It has been found that the test based on F-distribution consistently and reliably produces results superior to those of Likelihood Ratio Test (LRT) and large sample Z-test in terms of size fo...

An Exact Test for the Equality of Intraclass Correlation Coefficients Under Unequal Family Sizes

On testing equality of intraclass correlations under unequal family sizes

The three likelihood-based tests, namely, likelihood ratio test, Rao score test, and Wald test and two more asymptotic tests which use Srivastava’s estimator of intraclass correlation coefficient are considered to test the null hypothesis of equality of intraclass correlation coefficients when the families have unequal number of children. Methods are illustrated on Galton’s data set. Using simu...

An Alternative Test for the Equality of Intraclass Correlation Coefficients under Unequal Family Sizes for Several Populations

An alternative test for the equality of several intraclass correlation coefficients under unequal family sizes based on several independent multinormal samples is proposed. It was found that the alternative test consistently and reliably produced results superior to those of Likelihood ratio test (LRT) proposed by Bhandary and Alam (2000) and max F test proposed by Bhandary and Fujiwara (2006) ...

Modified Profile Likelihood Approach for Certain Intraclass Correlation Coefficient

In this paper we consider the problem of constructing confidence intervals and lower bounds for the intraclass correlation coefficient in an interrater reliability study where the raters are randomly selected from a population of raters.The likelihood function of the interrater reliability is derived and simplified, and the profile likelihood based approach is readily available for computing th...