| 线性混合效应模型中方差分量两种估计的比较 |
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| 引用本文： | 李大森.线性混合效应模型中方差分量两种估计的比较[J].洛阳师范学院学报,2013,32(2):28-30. |
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| 作者姓名： | 李大森 |
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| 作者单位： | 安徽师范大学数学计算机科学学院,安徽芜湖,241000 |
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| 基金项目： | 安徽高校省级自然科学基金 |
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| 摘 要： | 本文首先给出了由王松桂等提出的广义谱分解估计(GSDE)的定义,以及由Herderson方法得到的方差分量的方差分析估计(ANOVAE),在此基础上提出了谱和线性混合效应模型的概念,证明了在这类模型中,方差分析估计是广义谱分解估计的一种,并且考察了在一定条件下广义谱分解估计优于方差分析估计的充分条件.
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| 关 键 词： | 混合效应模型 方差分量 方差分析估计 广义谱分解估计 |
Comparison of Two Estimations of Variance Components of Linear Mixed-Effects Model |
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| LI Da-sen.Comparison of Two Estimations of Variance Components of Linear Mixed-Effects Model[J].Journal of Luoyang Teachers College,2013,32(2):28-30. |
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| Authors: | LI Da-sen |
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| Affiliation: | LI Da-sen(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China) |
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| Abstract: | This paper first gives the definition of generalized spectral decomposition proposed by the Wang Songgui, and the analysis of variance estimator of variance component proposed by Herderson. On this basis this paper proposes the concept of spectrum and linear mixed effects model. In this type of model, ANOVA estimator is part of generalized spectral decomposition estimate and the generalized spectral decomposition estimator has uni- formly smaller mean square errors than ANOVA estimator. |
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| Keywords: | mixed-effects model variance components ANOVA estimator generalized spectral decomposi- tion estimator |
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