Comparison of Two Meta-Analysis Methods: Inverse-Variance-Weighted Average and Weighted Sum of Z-Scores

The meta-analysis has become a widely used tool for many applications in bioinformatics, including genome-wide association studies. A commonly used approach for meta-analysis is the fixed effects model approach, for which there are two popular methods: the inverse variance-weighted average method an...

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Main Authors: Cue Hyunkyu Lee, Seungho Cook, Ji Sung Lee, Buhm Han
Format: Article
Language:English
Published: BioMed Central 2016-12-01
Series:Genomics & Informatics
Subjects:
Online Access:http://genominfo.org/upload/pdf/gni-14-173.pdf
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author Cue Hyunkyu Lee
Seungho Cook
Ji Sung Lee
Buhm Han
author_facet Cue Hyunkyu Lee
Seungho Cook
Ji Sung Lee
Buhm Han
author_sort Cue Hyunkyu Lee
collection DOAJ
description The meta-analysis has become a widely used tool for many applications in bioinformatics, including genome-wide association studies. A commonly used approach for meta-analysis is the fixed effects model approach, for which there are two popular methods: the inverse variance-weighted average method and weighted sum of z-scores method. Although previous studies have shown that the two methods perform similarly, their characteristics and their relationship have not been thoroughly investigated. In this paper, we investigate the optimal characteristics of the two methods and show the connection between the two methods. We demonstrate that the each method is optimized for a unique goal, which gives us insight into the optimal weights for the weighted sum of z-scores method. We examine the connection between the two methods both analytically and empirically and show that their resulting statistics become equivalent under certain assumptions. Finally, we apply both methods to the Wellcome Trust Case Control Consortium data and demonstrate that the two methods can give distinct results in certain study designs.
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institution Kabale University
issn 1598-866X
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publishDate 2016-12-01
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record_format Article
series Genomics & Informatics
spelling doaj-art-f99eb213f72b4b4ba811ea9d460b03bf2025-02-03T02:16:53ZengBioMed CentralGenomics & Informatics1598-866X2234-07422016-12-0114417318010.5808/GI.2016.14.4.173176Comparison of Two Meta-Analysis Methods: Inverse-Variance-Weighted Average and Weighted Sum of Z-ScoresCue Hyunkyu Lee0Seungho Cook1Ji Sung Lee2Buhm Han3Asan Institute for Life Sciences, Asan Medical Center, Seoul 05505, Korea.Asan Institute for Life Sciences, Asan Medical Center, Seoul 05505, Korea.Asan Institute for Life Sciences, Asan Medical Center, Seoul 05505, Korea.Asan Institute for Life Sciences, Asan Medical Center, Seoul 05505, Korea.The meta-analysis has become a widely used tool for many applications in bioinformatics, including genome-wide association studies. A commonly used approach for meta-analysis is the fixed effects model approach, for which there are two popular methods: the inverse variance-weighted average method and weighted sum of z-scores method. Although previous studies have shown that the two methods perform similarly, their characteristics and their relationship have not been thoroughly investigated. In this paper, we investigate the optimal characteristics of the two methods and show the connection between the two methods. We demonstrate that the each method is optimized for a unique goal, which gives us insight into the optimal weights for the weighted sum of z-scores method. We examine the connection between the two methods both analytically and empirically and show that their resulting statistics become equivalent under certain assumptions. Finally, we apply both methods to the Wellcome Trust Case Control Consortium data and demonstrate that the two methods can give distinct results in certain study designs.http://genominfo.org/upload/pdf/gni-14-173.pdffixed effects modelgenome-wide association studyinverse variance-weighted averagemeta-analysisoptimalityweighted sum of z-scores
spellingShingle Cue Hyunkyu Lee
Seungho Cook
Ji Sung Lee
Buhm Han
Comparison of Two Meta-Analysis Methods: Inverse-Variance-Weighted Average and Weighted Sum of Z-Scores
Genomics & Informatics
fixed effects model
genome-wide association study
inverse variance-weighted average
meta-analysis
optimality
weighted sum of z-scores
title Comparison of Two Meta-Analysis Methods: Inverse-Variance-Weighted Average and Weighted Sum of Z-Scores
title_full Comparison of Two Meta-Analysis Methods: Inverse-Variance-Weighted Average and Weighted Sum of Z-Scores
title_fullStr Comparison of Two Meta-Analysis Methods: Inverse-Variance-Weighted Average and Weighted Sum of Z-Scores
title_full_unstemmed Comparison of Two Meta-Analysis Methods: Inverse-Variance-Weighted Average and Weighted Sum of Z-Scores
title_short Comparison of Two Meta-Analysis Methods: Inverse-Variance-Weighted Average and Weighted Sum of Z-Scores
title_sort comparison of two meta analysis methods inverse variance weighted average and weighted sum of z scores
topic fixed effects model
genome-wide association study
inverse variance-weighted average
meta-analysis
optimality
weighted sum of z-scores
url http://genominfo.org/upload/pdf/gni-14-173.pdf
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AT seunghocook comparisonoftwometaanalysismethodsinversevarianceweightedaverageandweightedsumofzscores
AT jisunglee comparisonoftwometaanalysismethodsinversevarianceweightedaverageandweightedsumofzscores
AT buhmhan comparisonoftwometaanalysismethodsinversevarianceweightedaverageandweightedsumofzscores