Journal
RESEARCH SYNTHESIS METHODS
Volume 6, Issue 4, Pages 372-382Publisher
WILEY
DOI: 10.1002/jrsm.1162
Keywords
interval estimation; meta-regression; quadratic form; large sample inference
Funding
- Medical Research Council [MC_UU_12013/1, MC_U105260558, MC_UU_12013/9, MC_EX_MR/M025012/1, U105260558, MR/N501906/1] Funding Source: Medline
- MRC [MC_U105260558, MC_UU_12013/1, MC_UU_12013/9] Funding Source: UKRI
- Medical Research Council [MC_U105260558, MC_UU_12013/9, MC_UU_12013/1, MR/N501906/1] Funding Source: researchfish
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Moment-based estimators of the between-study variance are very popular when performing random effects meta-analyses. This type of estimation has many advantages including computational and conceptual simplicity. Furthermore, by using these estimators in large samples, valid meta-analyses can be performed without the assumption that the treatment effects follow a normal distribution. Recently proposed moment-based confidence intervals for the between-study variance are exact under the random effects model but are quite elaborate. Here, we present a much simpler method for calculating approximate confidence intervals of this type. This method uses variance-stabilising transformations as its basis and can be used for a very wide variety of moment-based estimators in both the random effects meta-analysis and meta-regression models. (c) 2015 The Authors. Research Synthesis Methods published by John Wiley & Sons, Ltd.
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