4.5 Article

Cumulative meta-analysis: What works

Journal

RESEARCH SYNTHESIS METHODS
Volume 13, Issue 1, Pages 48-67

Publisher

WILEY
DOI: 10.1002/jrsm.1522

Keywords

CUSUM charts; effective-sample-size weights; inverse-variance weights; power; type 1 error

Funding

  1. Economic and Social Research Council [ES/L011859/1]
  2. ESRC [ES/L011859/1] Funding Source: UKRI

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The study investigates the properties of cumulative meta-analysis (CMA) and proposes a two-stage CMA method to improve its lack of power in detecting temporal trends. The results suggest that at least 15-20 studies are needed for the practical use of CMA in detecting time-varying evidence.
To present time-varying evidence, cumulative meta-analysis (CMA) updates results of previous meta-analyses to incorporate new study results. We investigate the properties of CMA, suggest possible improvements and provide the first in-depth simulation study of the use of CMA and CUSUM methods for detection of temporal trends in random-effects meta-analysis. We use the standardized mean difference (SMD) as an effect measure of interest. For CMA, we compare the standard inverse-variance-weighted estimation of the overall effect using REML-based estimation of between-study variance tau 2 with the sample-size-weighted estimation of the effect accompanied by Kulinskaya-Dollinger-Bjorkestol (Biometrics. 2011; 67:203-212) (KDB) estimation of tau 2. For all methods, we consider Type 1 error under no shift and power under a shift in the mean in the random-effects model. To ameliorate the lack of power in CMA, we introduce two-stage CMA, in which tau 2 is estimated at Stage 1 (from the first 5-10 studies), and further CMA monitors a target value of effect, keeping the tau 2 value fixed. We recommend this two-stage CMA combined with cumulative testing for positive shift in tau 2. In practice, use of CMA requires at least 15-20 studies.

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