Rukhin, A.
(2014),
Decision-Theoretic Aspects of Meta-Analysis, Journal of the Royal Statistical Society Series B-Statistical Methodology, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=912771 (Accessed May 2, 2026)
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Decision-Theoretic Aspects of Meta-Analysis
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Abstract
In the random-effects model of meta-analysis a canonical representation of the restricted likelihood function is obtained. The relationship between the common mean estimators and the heterogeneity variance estimators is explored via this representation. An explicit form of weighted means statistics variance is found.The behavior of the quadratic risk for large heterogeneity variance is elucidated. It is noted that the sample mean is not admissible or minimax when the number of studies is larger than three.Citation
Journal of the Royal Statistical Society Series B-Statistical Methodology
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Journals
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Keywords
DerSimonian-Laird estimator, Hedges estimator, Mandel-Paule procedure, minimaxity, random-effects model, restricted likelihood, Stein phenomenon.
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Created April 1, 2014, Updated January 27, 2020