Elsevier

Journal of Clinical Epidemiology

Volume 91, November 2017, Pages 38-46
Journal of Clinical Epidemiology

Series: Living Systematic Review
Living systematic reviews: 3. Statistical methods for updating meta-analyses

https://doi.org/10.1016/j.jclinepi.2017.08.008Get rights and content

Abstract

A living systematic review (LSR) should keep the review current as new research evidence emerges. Any meta-analyses included in the review will also need updating as new material is identified. If the aim of the review is solely to present the best current evidence standard meta-analysis may be sufficient, provided reviewers are aware that results may change at later updates. If the review is used in a decision-making context, more caution may be needed. When using standard meta-analysis methods, the chance of incorrectly concluding that any updated meta-analysis is statistically significant when there is no effect (the type I error) increases rapidly as more updates are performed. Inaccurate estimation of any heterogeneity across studies may also lead to inappropriate conclusions. This paper considers four methods to avoid some of these statistical problems when updating meta-analyses: two methods, that is, law of the iterated logarithm and the Shuster method control primarily for inflation of type I error and two other methods, that is, trial sequential analysis and sequential meta-analysis control for type I and II errors (failing to detect a genuine effect) and take account of heterogeneity. This paper compares the methods and considers how they could be applied to LSRs.

Section snippets

Background

The key intention of a living systematic review (LSR, see Box 1), which differentiates it from a standard systematic review, is that it will be updated frequently, ideally as soon as any new relevant study is published or identified [1], [2], [3]. Over time the information available to be included may increase, requiring the review to be updated to ensure it is presenting the best available evidence. In many updates, this will require updating one or more of the meta-analyses included in the

Analysis methods for repeated meta-analyses

Updating a meta-analysis has some similarities with interim analyses of clinical trials [9], [10], [11]. Interim analyses are often performed in trials so the trial can be stopped early if there is convincing evidence that the intervention is beneficial or harmful. Methods have been developed to avoid type I and II errors and produce robust conclusions for these trial sequential analyses. These methods have been adapted for the analysis of repeated meta-analyses and more recently for the

Methods for network meta-analysis

A multivariate extension of the alpha-spending boundaries method has been proposed for updating network meta-analysis under the assumption of consistency [25]. Despite the computational complexity in the presence of multiple interventions, the approach is essentially the same as in pairwise meta-analysis. Relative treatment effects between the compared treatments need to be set so as to satisfy the consistency assumptions. Then successively, monitoring boundaries for a predefined level of power

Commentary on the methods

The key properties of each method are outlined in Table 1. Most of the methods for handling repeated meta-analysis are based on an analogy between repeating meta-analysis and sequential analysis of a single clinical trial. While this analogy is generally reasonable, it has some limitations because meta-analyses are based on multiple studies and are not a single controlled trial. Heterogeneity between studies is an obvious key difference. In all methods, if a random-effects meta-analysis is

Conclusions and recommendations

The aim of an LSR is to provide the best available evidence to support decision-making by updating frequently, potentially as soon as a single relevant new study is identified. As with conventional approaches to updating, it is to be expected that the findings of the meta-analyses may change between updates and so reviewers should be suitably cautious when drawing conclusions from a meta-analysis in an LSR, particularly when considering if a result is statistically significant.

The methods

Acknowledgments

The authors would like to thank the members of the Living Systematic Review Network for their comments on drafts of this paper, particularly Philippe Ravaud, Andrew Maas, Kurinichi Gurusamy, Laura Martinez, Joerg Meerpohl and Stefania Mondello.

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    Funding: All the authors of this paper were funded to produce this research by a grant from the Cochrane Methods Innovation Fund. The Living Systematic Review Network is supported by funding from Cochrane and the Australian National Health and Medical Research Council (Partnership Project grant APP1114605). Georgia Salanti is supported by a Marie Skłodowska-Curie fellowship (MSCA-IF-703254).

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