On the Problem of the Estimation of Variance Components Based on Non-linear Maximization Approach

aspg-39-3027-1792222569 20261017073609 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Neutrosophic and Information Fusion NIF 2836-7863 2024 3 1 On the Problem of the Estimation of Variance Components Based on Non-linear Maximization Approach Ahmad Khaldi Mutah University, Faculty of Science, Jordan In this paper, we study the problem of estimating variance components in the two-way classification with interaction in the random-effect linear model by non-linear maximization. We assume the model according to the assumptions and give the theory of derivation of the estimators of these components, then apply these estimators to real data and obtain the estimates. We estimate these components by two other methods: the solution of the expected equation of mean square in the analysis of the variance table, and the minimum-variance quadratic unbiased estimator. 2024 20 23 3027 https://creativecommons.org/licenses/by/4.0/ 10.54216/NIF.030104 https://americaspg.com/journal/39/article/3027 https://americaspg.com/storage/articles/manuscripts/01M3T1KCVACMH85HQWNBRP1MEN.pdf