Asymptotic Normality of Estimator Variance Components for One-Way Repeated Measurements Model

Abstract

In this research, a modification was made to the mean bias reduction method to estimate the variance components in the repeated measurements model by replacing the bias function in the mean bias reduction method with another that is dependent on a sample of independent observations that simulates the study model with variance components. As a result, we obtained a modified function converging with the mean bias reduction function, and from it we find new estimators for the variance components of the repeated measurements model. The aim of this research is to study the behavior of the new estimator of the variance components in the repeated measurements model resulting from the modified method on the mean bias reduction method by studying the asymptotic normality of the modified method estimator.