%0 Journal Article %A Shuimiao Wan and Chao Yuan and Baoguang Tian %D 2015 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 108, 2015 %T An Estimation of Variance Components in Linear Mixed Model %U https://publications.waset.org/pdf/10003235 %V 108 %X In this paper, a linear mixed model which has two random effects is broken up into two models. This thesis gets the parameter estimation of the original model and an estimation’s statistical qualities based on these two models. Then many important properties are given by comparing this estimation with other general estimations. At the same time, this paper proves the analysis of variance estimate (ANOVAE) about σ2 of the original model is equal to the least-squares estimation (LSE) about σ2 of these two models. Finally, it also proves that this estimation is better than ANOVAE under Stein function and special condition in some degree. %P 752 - 755