混合效应模型下ANOVA估计和SD估计相等的充分条件
Acta Mathematica Sinica（2014）
Abstract
混合效应模型是统计模型中非常重要的一类模型,广泛地应用到许多领域.本文比较了该模型下方差分量的两种估计:方差分析(ANOVA)估计和谱分解(SD)估计,借助吴密霞和王松桂[A new method of spectral decomposition of covariance matrix in mixed effects models and its applications,Sci.China,Ser.A,2005,48:1451-1464]协方差矩阵的谱分解结果,给出了ANOVA估计和SD估计相等的两个充分条件及其相应的统计性质,并将以上的结果应用于圆形部件数据模型和混合方差分析模型.
MoreKey words
analysis of variance,spectral decomposition,mixed-effects model
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