Estimating the sample mean and standard deviation from commonly reported quantiles in meta-analysis

03/25/2019
by   Sean McGrath, et al.
0

Researchers increasingly use meta-analysis to synthesize the results of several studies in order to estimate a common effect. When the outcome variable is continuous, standard meta-analytic approaches assume that the primary studies report the sample mean and standard deviation of the outcome. However, when the outcome is skewed, authors sometimes summarize the data by reporting the sample median and one or both of (i) the minimum and maximum values and (ii) the first and third quartiles, but do not report the mean or standard deviation. To include these studies in meta-analysis, several methods have been developed to estimate the sample mean and standard deviation from the reported summary data. A major limitation of these widely used methods is that they assume that the outcome distribution is normal, which is unlikely to be tenable for studies reporting medians. We propose two novel approaches to estimate the sample mean and standard deviation when data are suspected to be non-normal. Our simulation results and empirical assessments show that the proposed methods often perform better than the existing methods when applied to non-normal data.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

03/03/2020

Optimally estimating the sample mean and standard deviation from the five-number summary

When reporting the results of clinical studies, some researchers may cho...
09/05/2018

Two-sample aggregate data meta-analysis of medians

We consider the problem of meta-analyzing two-group studies that report ...
06/27/2019

Chi-squared Test for Binned, Gaussian Samples

We examine the χ^2 test for binned, Gaussian samples, including effects ...
01/29/2018

Testing normality using the summary statistics with application to meta-analysis

As the most important tool to provide high-level evidence-based medicine...
01/04/2018

How to estimate the sample mean and standard deviation from the five number summary?

In some clinical studies, researchers may report the five number summary...
10/12/2020

Detecting the skewness of data from the sample size and the five-number summary

For clinical studies with continuous outcomes, when the data are potenti...

Code Repositories

estmeansd

Estimating the Sample Mean and Standard Deviation from Commonly Reported Quantiles in Meta-Analysis


view repo
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.