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Activity Number: 367 - SPEED: Statistical Epidemiology
Type: Contributed
Date/Time: Tuesday, July 31, 2018 : 11:35 AM to 12:20 PM
Sponsor: Section on Statistics in Epidemiology
Abstract #332842
Title: Meta-Analysis of the Difference of Medians
Author(s): Sean McGrath* and Andrea Benedetti and Russell Steele
Companies: McGill University and Respiratory Epidemiology and Clinical Research Unit, McGill University Health Centre and McGill University
Keywords: meta-analysis; median; two-group
Abstract:

We consider the problem of meta-analyzing two-group studies that report the median of the outcome. Often, these studies are excluded from meta-analysis because there are no well-established statistical methods to pool the difference of medians. To include these studies in meta-analysis, several authors have recently proposed methods to estimate the sample mean and standard deviation from the median and several measures of spread. Researchers frequently apply these methods to estimate the difference of means and its sampling variance for each study and pool the difference of means using inverse variance weighting. In this talk, we present novel Bayesian and frequentist methods to estimate the sampling variance of the median from summary data in order to meta-analyze the difference of medians. We display the results of a simulation study and illustrate the proposed median-based methods and the competing transformation-based methods on a real-life data set.


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