基于均差估计二变量Meta-分析的未知不相等方差模型
The Unknown Unequal Variance Model of Bivariate Meta-Analysis Based on the Difference Mean
DOI: 10.12677/ORF.2019.91009, PDF,    国家自然科学基金支持
作者: 郭鹏飞：仲恺农业工程学院，计算科学学院，广东 广州；仲恺农业工程学院，广东省高校智慧农业工程研究中心，广东 广州；仲恺农业工程学院，广东省水禽健康养殖重点实验室，广东 广州；李刚*：广州市电子政务服务中心，广东 广州；孙向茹：番禺何贤纪念医院，生殖医学科，广东 广州
关键词: Meta-分析；未知不相等方差模型；极大似然估计；Meta-Analysis； The Unknown Unequal Variance Model； Maximum Likelihood Estimate
摘要: 本文介绍基于均差估值的二变量Meta-分析的未知不相等方差模型，通过极大似然估计法给出效应量及方差估计，进而得到各研究均值效应量协方差矩阵的估计量。然后，通过基于均差效应量二变量Meta-分析的固定效应模型给出了合并均差统计量Doverall的具体形式和权重。进而得到了Doverall的协方差矩阵和两个变量的（1-α）100%置信区间。
Abstract: This paper introduces the unknown unequal variance model of bivariate meta-analysis based on the difference mean; we obtain the maximum likelihood estimator of the difference mean effect and unknown variances. Then we find the combining overall difference mean effect Doverall by the fixed-effect model of bivariate Meta-analysis based on the difference mean. Moreover, we obtain the corresponding covariance matrix and the (1-α)100% confidence interval for the overall dif-ference mean effect Doverall.
文章引用：郭鹏飞, 李刚, 孙向茹. 基于均差估计二变量Meta-分析的未知不相等方差模型[J]. 运筹与模糊学, 2019, 9(1): 72-79. https://doi.org/10.12677/ORF.2019.91009

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