Modified Maximum Likelihood Estimators for One- Way Repeated Measurements Model

In this paper, we will study estimation of variance components in the one-way repeated measurements model (one-way- RMM),by maximization without use numerical methods, there are many methods to estimate parameters of analysis of variance. The difficulty of this estimation increases in unbalanced repeated measurements designs. One of these methods that are frequently used in estimation is the maximum likelihood method, because of the difficulty in finding the roots of the likelihood equations, a modified method has been used for one-way- RMM in the case of two and three levels. Keywords: one-way-RMM, maximum likelihood function, estimator of variance