基于均差估计二变量Meta-分析的未知相等方差模型
The Unknown Equal Variance Model of Bivariate Meta-Analysis Based on the Difference Mean
摘要:
本文介绍基于均差估值的二变量Meta-分析的未知相等方差模型,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D overall的具体形式和权重。进而得到了D overall的协方差矩阵和两个变量的置信区间。This paper introduces the unknown equal 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 D overall by the fixed-effect model of bivariate
Meta-analysis based on the difference mean. Moreover, we obtain the
corresponding covariance matrix and the confidence interval for the overall difference
mean effect D overall.
参考文献
|
[1]
|
Raudenbush, S.W., Becker, B.J. and Kalaian, H. (1988) Modeling Multivariate Effect Sizes. Psychological Bulletin, 103, 111-120. [Google Scholar] [CrossRef]
|
|
[2]
|
van Houwelingen, H.C., Zwinderman, K.H. and Stijnen, T. (1993) A Bivariate Approach to Meta-Analysis. Statistics in Medicine, 12, 2273-2284. [Google Scholar] [CrossRef] [PubMed]
|
|
[3]
|
Riley, R.D., Abrams, K.R., Lambert, P.C., Sutton, A.J. and Thompson, J.R. (2007) Bivariate Random Effects Meta-Analysis and the Estimation of Between-Study Correlation. BMC Medical Research Methodology, 7, 3. [Google Scholar] [CrossRef] [PubMed]
|
|
[4]
|
Ritz, J., Demidenko, E. and Spiegelman, D. (2008) Multivariate Me-ta-Analysis for Data Consortia, Individual Patient Meta-Analysis, and Pooling Projects. Journal of Statistical Planning and Inference, 138, 1919-1933. [Google Scholar] [CrossRef]
|
|
[5]
|
Paul, M., Riebler, A., Bachmann, L.M., Rue, H. and Held, L. (2010) Bayesian Bivariate Meta-Analysis of Diagnostic Test Studies Using Integrated Nested Laplace Approximations. Statistics in Medicine, 29, 1325-1339. [Google Scholar] [CrossRef] [PubMed]
|