Copas, J, Jackson, D, White, I and Riley, RD (2018) The role of secondary outcomes in multivariate meta-analysis. Journal of the Royal Statistical Society: Series A, 67 (5). pp. 1177-1205. ISSN 0964-1998

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Univariate meta‐analysis concerns a single outcome of interest measured across a number of independent studies. However, many research studies will have also measured secondary outcomes. Multivariate meta‐analysis allows us to take these secondary outcomes into account and can also include studies where the primary outcome is missing. We define the efficiency E as the variance of the overall estimate from a multivariate meta‐analysis relative to the variance of the overall estimate from a univariate meta‐analysis. The extra information gained from a multivariate meta‐analysis of n studies is then similar to the extra information gained if a univariate meta‐analysis of the primary effect had a further n(1−E)/E studies. The variance contribution of a study's secondary outcomes (its borrowing of strength) can be thought of as a contrast between the variance matrix of the outcomes in that study and the set of variance matrices of all the studies in the meta‐analysis. In the bivariate case this is given a simple graphical interpretation as the borrowing‐of‐strength plot. We discuss how these findings can also be used in the context of random‐effects meta‐analysis. Our discussion is motivated by a published meta‐analysis of 10 antihypertension clinical trials.

Item Type: Article
Additional Information: "This is the peer reviewed version of the following article: The role of secondary outcomes in multivariate meta-analysis, which has been published in final form at DOI TBC. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving."
Uncontrolled Keywords: Borrowing of strength; Multiple outcomes; Multivariate meta-analysis
Subjects: R Medicine > R Medicine (General)
R Medicine > RA Public aspects of medicine
Divisions: Faculty of Medicine and Health Sciences > Primary Care Health Sciences
Depositing User: Symplectic
Date Deposited: 22 Mar 2018 09:31
Last Modified: 23 Mar 2019 01:30

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