One‐sample aggregate data meta‐analysis of medians. (20th November 2018)

• Record Type: Journal Article
• Authors: McGrath, Sean; Zhao, XiaoFei; Qin, Zhi Zhen; Steele, Russell; Benedetti, Andrea
• Is Part Of: Statistics in medicine. Volume 38:Number 6(2019)
• Page Start: 969
• Page End: 984
• Publication Date: 2018-11-20
• Subjects: aggregate data -- median -- meta‐analysis -- simulation study -- skewed data; Medical statistics -- Periodicals; Statistique médicale -- Périodiques; Statistiques médicales -- Périodiques; 610.727
• DOI: 10.1002/sim.8013
• Languages: English
• ISSNs: 0277-6715

Abstract

Abstract : An aggregate data meta‐analysis is a statistical method that pools the summary statistics of several selected studies to estimate the outcome of interest. When considering a continuous outcome, typically each study must report the same measure of the outcome variable and its spread (eg, the sample mean and its standard error). However, some studies may instead report the median along with various measures of spread. Recently, the task of incorporating medians in meta‐analysis has been achieved by estimating the sample mean and its standard error from each study that reports a median in order to meta‐analyze the means. In this paper, we propose two alternative approaches to meta‐analyze data that instead rely on medians. We systematically compare these approaches via simulation study to each other and to methods that transform the study‐specific medians and spread into sample means and their standard errors. We demonstrate that the proposed median‐based approaches perform better than the transformation‐based approaches, especially when applied to skewed data and data with high inter‐study variance. Finally, we illustrate these approaches in a meta‐analysis of patient delay in tuberculosis diagnosis.