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Meta-GWAS Accuracy and Power (MetaGAP) calculator shows that hiding heritability is partially due to imperfect genetic correlations across studies

Ronald de Vlaming, Aysu Okbay, Cornelius A. Rietveld, Magnus Johannesson, Patrik K.E. Magnusson, André G. Uitterlinden, Frank J.A. van Rooij, Albert Hofman, Patrick J.F. Groenen, A. Roy Thurik, Philipp D. Koellinger
doi: https://doi.org/10.1101/048322
Ronald de Vlaming
1Erasmus University Rotterdam Institute for Behavior and Biology, Erasmus School of Economics, Rotterdam, the Netherlands.
2Department of Applied Economics, Erasmus School of Economics, Rotterdam, the Netherlands.
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Aysu Okbay
1Erasmus University Rotterdam Institute for Behavior and Biology, Erasmus School of Economics, Rotterdam, the Netherlands.
2Department of Applied Economics, Erasmus School of Economics, Rotterdam, the Netherlands.
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Cornelius A. Rietveld
1Erasmus University Rotterdam Institute for Behavior and Biology, Erasmus School of Economics, Rotterdam, the Netherlands.
2Department of Applied Economics, Erasmus School of Economics, Rotterdam, the Netherlands.
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Magnus Johannesson
3Department of Economics, Stockholm School of Economics, Stockholm, Sweden.
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Patrik K.E. Magnusson
4Department of Medical Epidemiology and Biostatistics, Karolinska Institutet, Stockholm, Sweden.
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André G. Uitterlinden
1Erasmus University Rotterdam Institute for Behavior and Biology, Erasmus School of Economics, Rotterdam, the Netherlands.
5Department of Epidemiology, Erasmus University Medical Center Rotterdam, Rotterdam, the Netherlands.
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Frank J.A. van Rooij
5Department of Epidemiology, Erasmus University Medical Center Rotterdam, Rotterdam, the Netherlands.
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Albert Hofman
1Erasmus University Rotterdam Institute for Behavior and Biology, Erasmus School of Economics, Rotterdam, the Netherlands.
5Department of Epidemiology, Erasmus University Medical Center Rotterdam, Rotterdam, the Netherlands.
6Department of Epidemiology, Harvard T.H. Chan School of Public Health, Boston, Massachusetts, the United States of America.
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Patrick J.F. Groenen
1Erasmus University Rotterdam Institute for Behavior and Biology, Erasmus School of Economics, Rotterdam, the Netherlands.
7Econometric Institute, Erasmus School of Economics, Rotterdam, the Netherlands.
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A. Roy Thurik
1Erasmus University Rotterdam Institute for Behavior and Biology, Erasmus School of Economics, Rotterdam, the Netherlands.
2Department of Applied Economics, Erasmus School of Economics, Rotterdam, the Netherlands.
8Montpellier Business School, Montpellier, France.
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Philipp D. Koellinger
1Erasmus University Rotterdam Institute for Behavior and Biology, Erasmus School of Economics, Rotterdam, the Netherlands.
2Department of Applied Economics, Erasmus School of Economics, Rotterdam, the Netherlands.
9Department of Complex Trait Genetics, Center for Neurogenomics and Cognitive Research, Amsterdam, the Netherlands.
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Abstract

Large-scale GWAS results are typically obtained by meta-analyzing GWAS results from multiple studies spanning different regions and/or time periods. This approach averages the estimated effects of individual genetic variants across studies. In case genetic effects are heterogeneous across studies, the statistical power of a GWAS and the predictive accuracy of polygenic scores are attenuated, contributing to the so-called ‘missing’ heritability. However, a theoretical multi-study framework, relating statistical power and predictive accuracy to cross-study heterogeneity, is not available. We address this gap by developing an online Meta-GWAS Accuracy and Power calculator that accounts for the cross-study genetic correlation. This calculator enables to explore to what extent an imperfect cross-study genetic correlation (i.e., less than one) contributes to the missing heritability. By means of simulation studies, we show that under a wide range of genetic architectures, the statistical power and predictive accuracy inferred by this calculator are accurate. We use the calculator to assess recent GWAS efforts and show that the effect of cross-study genetic correlation on statistical power and predictive accuracy is substantial. Hence, cross-study genetic correlation explains a considerable part of the missing heritability. Therefore, a priori calculations of statistical power and predictive accuracy, accounting for heterogeneity in genetic effects across studies, are an important tool for adequately inferring whether an intended meta-analysis of GWAS results is likely to yield meaningful outcomes.

Author Summary Large-scale genome-wide association studies are uncovering the genetic architecture of traits which are affected by many genetic variants. Such studies typically meta-analyze association results from multiple studies spanning different regions and/or time periods. These efforts do not yet capture a large share of the total proportion of trait variation attributable to genetic variation. The origins of this so-called ‘missing’ heritability have been strongly debated. One factor exacerbating the missing heritability is heterogeneity in the effects of genetic variants across studies. Its influence on statistical power to detect associated genetic variants and the accuracy of polygenic predictions, is poorly understood. In the current study, we derive the precise effects of heterogeneity in genetic effects across studies on both the statistical power to detect associated genetic variants as well as the accuracy of polygenic predictions. We provide an online calculator, available at www.devlaming.eu, which accounts for these effects. By means of this calculator, we show that imperfect genetic correlations between studies substantially decrease statistical power and predictive accuracy and, thereby, contribute to the missing heritability. We argue that researchers should account for genetic heterogeneity across studies, when assessing whether a proposed large-scale genome-wide association study is likely to yield meaningful results.

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The copyright holder for this preprint is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under a CC-BY-NC-ND 4.0 International license.
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Posted April 13, 2016.
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Meta-GWAS Accuracy and Power (MetaGAP) calculator shows that hiding heritability is partially due to imperfect genetic correlations across studies
Ronald de Vlaming, Aysu Okbay, Cornelius A. Rietveld, Magnus Johannesson, Patrik K.E. Magnusson, André G. Uitterlinden, Frank J.A. van Rooij, Albert Hofman, Patrick J.F. Groenen, A. Roy Thurik, Philipp D. Koellinger
bioRxiv 048322; doi: https://doi.org/10.1101/048322
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Meta-GWAS Accuracy and Power (MetaGAP) calculator shows that hiding heritability is partially due to imperfect genetic correlations across studies
Ronald de Vlaming, Aysu Okbay, Cornelius A. Rietveld, Magnus Johannesson, Patrik K.E. Magnusson, André G. Uitterlinden, Frank J.A. van Rooij, Albert Hofman, Patrick J.F. Groenen, A. Roy Thurik, Philipp D. Koellinger
bioRxiv 048322; doi: https://doi.org/10.1101/048322

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