On Variance Components Estimators in Repeated Measurements Model

Abstract

In this article, we focus our study on estimation the variance components in the two methods: the maximum likelihood function and the maximum penalized likelihood function of the repeated measurements model, which contain three random effects as well as random error, comparing between these estimators based on the mean square error , we also studied the bias and variance for each estimator and supported the theoretical side with an applied example to illustrate the results.