Geodesic
Combining multivariate estimators of the mean vector
Discussiones Mathematicae. Probability and Statistics, Tome 25 (2005) no. 1, pp. 77-89.

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Meta-analysis is a standard statistical method used to combine the conclusions of individual studies that are related and the results of single study alone can not answered to deal with issues. The data are summarized by one or more outcome measure estimates along with their standard errors.
Keywords: meta-analysis, the fixed effects model, the random effects model 
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Janicka, Iwona. Combining multivariate estimators of the mean vector. Discussiones Mathematicae. Probability and Statistics, Tome 25 (2005) no. 1, pp. 77-89. http://geodesic.mathdoc.fr/item/DMPS_2005_25_1_a4/

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[4] S.L. Normand, Tutorial in biostatistics. Meta-analysis: formulating, evaluating, combining, and reporting, Statistics In Medicine 18 (1999), 321-359.