基于均差估计二变量Meta-分析的随机效应模型
The Random-Effect Model of Bivariate Meta-Analysis Based on the Difference Mean
DOI: 10.12677/PM.2019.91013, 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；刘双印：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；李 刚*：广州市电子政务服务中心，广东 广州；张 垒, 曹 亮：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；孙向茹：番禺何贤纪念医院，生殖医学科，广东 广州；徐龙琴：仲恺农业工程学院，信息科学与技术学院，广东 广州
关键词: Meta-分析；极大似然估计；随机效应模型；Meta-Analysis； Maximum Likelihood Estimate； Random-Effect Model
摘要: 本文给出已知协方差矩阵的基于均差估值的二变量Meta-分析随机效应模型，并通过极大似然估计法给出效应量估计并说明了其无偏性。通过计算估计效应量的协方差矩阵，给出估计效应分量的(1-α)100%置信区间。
Abstract: In this paper, we establish the random-effect model of bivariate meta-analysis based on the dif-ference mean. Under the assumption of the multilevel normal distribution of the difference mean, we obtain the maximum likelihood estimator ûMLof the difference mean by the method of max-imum likelihood estimate. We conclude that the maximum likelihood estimator ûMLof the dif-ference mean is unbiased for the difference mean effect µ. In addition, we get the corresponding covariance matrix and the (1-α)100%  confidence interval for the difference mean effect  µ.
文章引用：郭鹏飞, 刘双印, 李刚, 张垒, 曹亮, 孙向茹, 徐龙琴. 基于均差估计二变量Meta-分析的随机效应模型[J]. 理论数学, 2019, 9(1): 98-110. https://doi.org/10.12677/PM.2019.91013

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