The College of Education for Pure Sciences in the Department of Mathematics at the University of Basrah discussed a master's thesis on (approximate analysis of the one-way repeated measurements model)
The message presented by the researcher (Sarah Abbas Abdel-Zahra) included
This thesis studies the asymptotic analysis of the repeated measurements model. The work includes four aspects. In the first aspect, the one-way repeated measures model was adopted for the unbalanced data, and the analysis of variance was studied for the model. In addition, the parameters of the model were estimated using three methods: the least squares method, the greatest weight method, and the restricted greatest weight method. We touched on some of the characteristics of estimators: impartiality, consistency, and efficiency. In the second aspect, the distribution of some estimators and the sum of squares was determined, and the analytical formula was found to test the weighting ratio of the model's estimators, as well as first- and third-order approximations. As for the third aspect, our model was converted to the matrix formula, and we studied some different properties of the estimators. While the fourth aspect included an applied study represented by an agricultural experiment to increase the production quality of dates.