- - , ' Estimation of Ratios of Variance Components in the Unbalanced One Way Random Effects Model

The point estimation of the ratio of variance components and the intraclass correlation coefficient for the unbalanced one way random effects model are considered. ANOVA, REML, ML, MIVQUE, MINQE type, and MU (median unbiased) estimators are compared with respect to their absolute biases and mean squared errors through a simulation study. Explicit, computable expressions with no matrix inversion necessary are given for these estimators. Our results indicate that the two types of MINQE estimators are excellent for estimating the ratio of variance components for all around performance and good for the intraclass correlation coefficient when the value of true ratio of variance components is thought to be low.