期刊
STATISTICS IN MEDICINE
卷 30, 期 28, 页码 3304-3312出版社
WILEY-BLACKWELL
DOI: 10.1002/sim.4350
关键词
meta-analysis; random-effects model; coverage properties; Bartlett correction; efficient score
类别
资金
- Japan Society for the Promotion of Science
- Grants-in-Aid for Scientific Research [10J02394] Funding Source: KAKEN
In medical meta-analysis, the DerSimonian-Laird confidence interval for the average treatment effect has been widely adopted in practice. However, it is well known that its coverage probability (the probability that the interval actually includes the true value) can be substantially below the target level. One particular reason is that the validity of the confidence interval depends on the assumption that the number of synthesized studies is sufficiently large. In typical medical meta-analyses, the number of studies is fewer than 20. In this article, we developed three confidence intervals for improving coverage properties, based on (i) the Bartlett corrected likelihood ratio statistic, (ii) the efficient score statistic, and (iii) the Bartlett-type adjusted efficient score statistic. The Bartlett and Bartlett-type corrections improve the large sample approximations for the likelihood ratio and efficient score statistics. Through numerical evaluations by simulations, these confidence intervals demonstrated better coverage properties than the existing methods. In particular, with a moderate number of synthesized studies, the Bartlett and Bartlett-type corrected confidence intervals performed well. An application to a metaanalysis of the treatment for myocardial infarction with intravenous magnesium is presented. Copyright (C) 2011 John Wiley & Sons, Ltd.
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