Methods for meta-analysis and meta-regression of binomial data: concepts and tutorial with Stata command metapreg

Abstract Background Despite the widespread interest in meta-analysis of proportions, its rationale, certain theoretical and methodological concepts are poorly understood. The generalized linear models framework is well-established and provides a natural and optimal model for meta-analysis, network m...

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Main Authors: Victoria Nyawira Nyaga, Marc Arbyn
Format: Article
Language:English
Published: BMC 2024-01-01
Series:Archives of Public Health
Subjects:
Online Access:https://doi.org/10.1186/s13690-023-01215-y
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author Victoria Nyawira Nyaga
Marc Arbyn
author_facet Victoria Nyawira Nyaga
Marc Arbyn
author_sort Victoria Nyawira Nyaga
collection DOAJ
description Abstract Background Despite the widespread interest in meta-analysis of proportions, its rationale, certain theoretical and methodological concepts are poorly understood. The generalized linear models framework is well-established and provides a natural and optimal model for meta-analysis, network meta-analysis, and meta-regression of proportions. Nonetheless, generic methods for meta-analysis of proportions based on the approximation to the normal distribution continue to dominate. Methods We developed metapreg, a tool with advanced statistical procedures to perform a meta-analysis, network meta-analysis, and meta-regression of binomial proportions in Stata using binomial, logistic and logistic-normal models. First, we explain the rationale and concepts essential in understanding statistical methods for meta-analysis of binomial proportions and describe the models implemented in metapreg. We then describe and demonstrate the models in metapreg using data from seven published meta-analyses. We also conducted a simulation study to compare the performance of metapreg estimators with the existing estimators of the population-averaged proportion in metaprop and metan under a broad range of conditions including, high over-dispersion and small meta-analysis. Conclusion metapreg is a flexible, robust and user-friendly tool employing a rigorous approach to evidence synthesis of binomial data that makes the most efficient use of all available data and does not require ad-hoc continuity correction or data imputation. We expect its use to yield higher-quality meta-analysis of binomial proportions.
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spelling doaj.art-e9c1e0aa8a3e4ebeb86c746c69e2c8202024-03-05T17:46:04ZengBMCArchives of Public Health2049-32582024-01-0182113910.1186/s13690-023-01215-yMethods for meta-analysis and meta-regression of binomial data: concepts and tutorial with Stata command metapregVictoria Nyawira Nyaga0Marc Arbyn1Unit of Cancer Epidemiology, SciensanoUnit of Cancer Epidemiology, SciensanoAbstract Background Despite the widespread interest in meta-analysis of proportions, its rationale, certain theoretical and methodological concepts are poorly understood. The generalized linear models framework is well-established and provides a natural and optimal model for meta-analysis, network meta-analysis, and meta-regression of proportions. Nonetheless, generic methods for meta-analysis of proportions based on the approximation to the normal distribution continue to dominate. Methods We developed metapreg, a tool with advanced statistical procedures to perform a meta-analysis, network meta-analysis, and meta-regression of binomial proportions in Stata using binomial, logistic and logistic-normal models. First, we explain the rationale and concepts essential in understanding statistical methods for meta-analysis of binomial proportions and describe the models implemented in metapreg. We then describe and demonstrate the models in metapreg using data from seven published meta-analyses. We also conducted a simulation study to compare the performance of metapreg estimators with the existing estimators of the population-averaged proportion in metaprop and metan under a broad range of conditions including, high over-dispersion and small meta-analysis. Conclusion metapreg is a flexible, robust and user-friendly tool employing a rigorous approach to evidence synthesis of binomial data that makes the most efficient use of all available data and does not require ad-hoc continuity correction or data imputation. We expect its use to yield higher-quality meta-analysis of binomial proportions.https://doi.org/10.1186/s13690-023-01215-yMeta-analysisMeta-regressionNetwork meta-analysisStataLogistic regressionBinomial
spellingShingle Victoria Nyawira Nyaga
Marc Arbyn
Methods for meta-analysis and meta-regression of binomial data: concepts and tutorial with Stata command metapreg
Archives of Public Health
Meta-analysis
Meta-regression
Network meta-analysis
Stata
Logistic regression
Binomial
title Methods for meta-analysis and meta-regression of binomial data: concepts and tutorial with Stata command metapreg
title_full Methods for meta-analysis and meta-regression of binomial data: concepts and tutorial with Stata command metapreg
title_fullStr Methods for meta-analysis and meta-regression of binomial data: concepts and tutorial with Stata command metapreg
title_full_unstemmed Methods for meta-analysis and meta-regression of binomial data: concepts and tutorial with Stata command metapreg
title_short Methods for meta-analysis and meta-regression of binomial data: concepts and tutorial with Stata command metapreg
title_sort methods for meta analysis and meta regression of binomial data concepts and tutorial with stata command metapreg
topic Meta-analysis
Meta-regression
Network meta-analysis
Stata
Logistic regression
Binomial
url https://doi.org/10.1186/s13690-023-01215-y
work_keys_str_mv AT victorianyawiranyaga methodsformetaanalysisandmetaregressionofbinomialdataconceptsandtutorialwithstatacommandmetapreg
AT marcarbyn methodsformetaanalysisandmetaregressionofbinomialdataconceptsandtutorialwithstatacommandmetapreg