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Random-Effects Model Aimed at Discovering Associations in Meta-Analysis of Genome-wide Association Studies
Open accessAbstract
Meta-analysis is an increasingly popular tool for combining multiple different genome-wide association studies (GWASs) in a single aggregate analysis in order to identify associations with very small effect sizes. Because the data of a meta-analysis can be heterogeneous, referring to the differences in effect sizes between the collected studies, what is often done in the literature is to apply both the fixed-effects model (FE) under an assumption of the same effect size between studies and the random-effects model (RE) under an assumption of varying effect size between studies. However, surprisingly, RE gives less significant p values than FE at variants that actually show varying effect sizes between studies. This is ironic because RE is designed specifically for the case in which there is heterogeneity. As a result, usually, RE does not discover any associations that FE did not discover. In this paper, we show that the underlying reason for this phenomenon is that RE implicitly assumes a markedly conservative null-hypothesis model, and we present a new random-effects model that relaxes the conservative assumption. Unlike the traditional RE, the new method is shown to achieve higher statistical power than FE when there is heterogeneity, indicating that the new method has practical utility for discovering associations in the meta-analysis of GWASs.
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“Compared to the conventional random-effects model, the RE2 model offers greater power under heterogeneity.”
From Meta-analysis identifies five novel loci associated with endometriosis highlighting key genes involved in hormone metabolism (2017) · cites this paper as [17]
Citations
Cites
Meta-analysis in clinical trials
DerSimonian, R., & Laird, N. (1986) · Controlled Clinical Trials · doi:10.1016/0197-2456(86)90046-2 · Cited by 39,552
Quantifying heterogeneity in a meta‐analysis
Higgins, J. P. T., & Thompson, S. G. (2002) · Statistics in Medicine · doi:10.1002/sim.1186 · Cited by 36,763
Statistical Aspects of the Analysis of Data From Retrospective Studies of Disease
(1959) · JNCI: Journal of the National Cancer Institute · doi:10.1093/jnci/22.4.719 · Cited by 14,689
Genome-wide association study of 14,000 cases of seven common diseases and 3,000 shared controls
The Wellcome Trust Case Control Consortium, Management Committee, Burton, P. R., Clayton, D. G., Cardon, L. R., Craddock, N., Deloukas, P., Duncanson, A., Kwiatkowski, D. P., McCarthy, M. I., et al. (2007) · Nature · doi:10.1038/nature05911 · Cited by 9,442
Finding the missing heritability of complex diseases
Manolio, T. A., Collins, F. S., Cox, N. J., Goldstein, D. B., Hindorff, L. A., Hunter, D. J., McCarthy, M. I., Ramos, E. M., Cardon, L. R., Chakravarti, A., et al. (2009) · Nature · doi:10.1038/nature08494 · Cited by 8,336
A haplotype map of the human genome
The International HapMap Consortium (2005) · Nature · doi:10.1038/nature04226 · Cited by 5,858
The combination of estimates from different experiments
Cochran, W. G. (1954) · Biometrics · doi:10.2307/3001666 · Cited by 5,380
A second generation human haplotype map of over 3.1 million SNPs
The International HapMap Consortium (2007) · Nature · doi:10.1038/nature06258 · Cited by 4,438
Genomic Control for Association Studies
Devlin, B., & Roeder, K. (1999) · Biometrics · doi:10.1111/j.0006-341x.1999.00997.x · Cited by 3,162
Genome-wide association studies for complex traits: consensus, uncertainty and challenges
McCarthy, M. I., Abecasis, G. R., Cardon, L. R., Goldstein, D. B., Little, J., Ioannidis, J. P. A., & Hirschhorn, J. N. (2008) · Nature Reviews Genetics · doi:10.1038/nrg2344 · Cited by 2,891
Self, S., & Liang, K.-Y. (1987) · Journal of the American Statistical Association · doi:10.1080/01621459.1987.10478472 · Cited by 2,861
Genome-wide association analysis identifies loci for type 2 diabetes and triglyceride levels
Saxena, R., Voight, B. F., Lyssenko, V., Burtt, N. P., de Bakker, P. I. W., Chen, H., Roix, J. J., Kathiresan, S., Hirschhorn, J. N., Daly, M. J., et al. (2007) · Science · doi:10.1126/science.1142358 · Cited by 2,843
Variance component model to account for sample structure in genome-wide association studies
Kang, H. M., Sul, J. H., Service, S. K., Zaitlen, N. A., Kong, S.-Y., Freimer, N. B., Sabatti, C., & Eskin, E. (2010) · Nature Genetics · doi:10.1038/ng.548 · Cited by 2,817
Self-citationA genome-wide association study of type 2 diabetes in Finns detects multiple susceptibility variants
Scott, L. J., Mohlke, K. L., Bonnycastle, L. L., Willer, C. J., Li, Y., Duren, W. L., Erdos, M. R., Stringham, H. M., Chines, P. S., Jackson, A. U., et al. (2007) · Science · doi:10.1126/science.1142382 · Cited by 2,753
The Wellcome Trust Case Control Consortium, U.K.
Mossman, K. (2008) · Scientific American · doi:10.1038/scientificamerican0108-42a · Cited by 2,714
A Re-Evaluation of Random-Effects Meta-Analysis
Higgins, J. P. T., Thompson, S. G., & Spiegelhalter, D. J. (2009) · Journal of the Royal Statistical Society Series A: Statistics in Society · doi:10.1111/j.1467-985x.2008.00552.x · Cited by 2,569
Franke, A., McGovern, D. P. B., Barrett, J. C., Wang, K., Radford-Smith, G. L., Ahmad, T., Lees, C. W., Balschun, T., Lee, J., Roberts, R., et al. (2010) · Nature Genetics · doi:10.1038/ng.717 · Cited by 2,520
Replication of Genome-Wide Association Signals in UK Samples Reveals Risk Loci for Type 2 Diabetes
Zeggini, E., Weedon, M. N., Lindgren, C. M., Frayling, T. M., Elliott, K. S., Lango, H., Timpson, N. J., Perry, J. R. B., Rayner, N. W., Freathy, R. M., et al. (2007) · Science · doi:10.1126/science.1142364 · Cited by 2,194
Advances in autism genetics: on the threshold of a new neurobiology
Abrahams, B. S., & Geschwind, D. H. (2008) · Nature Reviews Genetics · doi:10.1038/nrg2346 · Cited by 1,866
Wellcome Trust Case Control Consortium, Zeggini, E., Scott, L. J., Saxena, R., Voight, B. F., Marchini, J. L., Hu, T., de Bakker, P. I., Abecasis, G. R., Almgren, P., et al. (2008) · Nature Genetics · doi:10.1038/ng.120 · Cited by 1,864
Twelve type 2 diabetes susceptibility loci identified through large-scale association analysis
The MAGIC investigators, Voight, B. F., The GIANT Consortium, Scott, L. J., Steinthorsdottir, V., Morris, A. P., Dina, C., Welch, R. P., Zeggini, E., Huth, C., et al. (2010) · Nature Genetics · doi:10.1038/ng.609 · Cited by 1,761
The Type 1 Diabetes Genetics Consortium, Barrett, J. C., Clayton, D. G., Concannon, P., Akolkar, B., Cooper, J. D., Erlich, H. A., Julier, C., Morahan, G., Nerup, J., et al. (2009) · Nature Genetics · doi:10.1038/ng.381 · Cited by 1,746
the GIANT Consortium (2009) · Nature Genetics · doi:10.1038/ng.287 · Cited by 1,720
Review papers : The statistical basis of meta-analysis
Fleiss, J. (1993) · Statistical Methods in Medical Research · doi:10.1177/096228029300200202 · Cited by 1,286
Linkage Disequilibrium in Humans: Models and Data
Pritchard, J. K., & Przeworski, M. (2001) · The American Journal of Human Genetics · doi:10.1086/321275 · Cited by 1,285
Uncertainty in heterogeneity estimates in meta-analyses
Ioannidis, J. P. A., Patsopoulos, N. A., & Evangelou, E. (2007) · BMJ · doi:10.1136/bmj.39343.408449.80 · Cited by 1,254
Genome-wide association study meta-analysis identifies seven new rheumatoid arthritis risk loci
BIRAC Consortium, Stahl, E. A., YEAR Consortium, Raychaudhuri, S., Remmers, E. F., Xie, G., Eyre, S., Thomson, B. P., Li, Y., Kurreeman, F. A. S., et al. (2010) · Nature Genetics · doi:10.1038/ng.582 · Cited by 1,253
All of Statistics: A Concise Course in Statistical Inference
Wasserman, L. (2004) · Springer Texts in Statistics · doi:10.1007/978-0-387-21736-9 · Cited by 1,090
MAGIC, Heid, I. M., Jackson, A. U., Randall, J. C., Winkler, T. W., Qi, L., Steinthorsdottir, V., Thorleifsson, G., Zillikens, M. C., Speliotes, E. K., et al. (2010) · Nature Genetics · doi:10.1038/ng.685 · Cited by 931
Genomewide Association Studies and Human Disease
Hardy, J., & Singleton, A. (2009) · New England Journal of Medicine · doi:10.1056/nejmra0808700 · Cited by 733
Schmidt, F. L., Oh, I., & Hayes, T. L. (2008) · British Journal of Mathematical and Statistical Psychology · doi:10.1348/000711007x255327 · Cited by 729
Lindgren, C. M., Heid, I. M., Randall, J. C., Lamina, C., Steinthórsdóttir, V., Qi, L., Speliotes, E. K., Þorleifsson, G., Willer, C. J., Herrera, B. M., et al. (2009) · PLoS Genetics · doi:10.1371/journal.pgen.1000508 · Cited by 712
Hunter, D. J., Peltonen, L., Guiducci, C., Crawford, G., Hirschhorn, J. N., Lyon, H. N., & Speliotes, E. K. (2009) · DSpace@MIT (Massachusetts Institute of Technology) · Cited by 687
All Of Statistic A Concise Course In Statistical Inference
Waserman, L. (2003) · Cited by 652
Prioritizing GWAS Results: A Review of Statistical Methods and Recommendations for Their Application
Cantor, R. M., Lange, K. L., & Sinsheimer, J. S. (2010) · The American Journal of Human Genetics · doi:10.1016/j.ajhg.2009.11.017 · Cited by 638
Recent developments in meta‐analysis
Sutton, A. J., & Higgins, J. P. T. (2007) · Statistics in Medicine · doi:10.1002/sim.2934 · Cited by 601
Practical aspects of imputation-driven meta-analysis of genome-wide association studies
de Bakker, P. I. W., Ferreira, M. A. R., Jia, X., Neale, B. M., Raychaudhuri, S., & Voight, B. F. (2008) · Human Molecular Genetics · doi:10.1093/hmg/ddn288 · Cited by 531
A LIKELIHOOD APPROACH TO META-ANALYSIS WITH RANDOM EFFECTS
Hardy, R., & Thompson, S. G. (1996) · Statistics in Medicine · doi:10.1002/(sici)1097-0258(19960330)15:6 · Cited by 522
Heterogeneity in Meta-Analyses of Genome-Wide Association Investigations
Ioannidis, J. P. A., Patsopoulos, N. A., & Εvangelou, Ε. (2007) · PLoS ONE · doi:10.1371/journal.pone.0000841 · Cited by 338
Genome-wide association and meta-analysis of bipolar disorder in individuals of European ancestry
Scott, L. J., Muglia, P., Kong, X., Guan, W., Flickinger, M., Upmanyu, R., Tozzi, F., Li, J. Z., Burmeister, M., Absher, D., et al. (2009) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0813386106 · Cited by 322
All of Statistics: A Concise Course in Statistical Inference
Barber, S. (2004) · Journal of the Royal Statistical Society Series A (Statistics in Society) · doi:10.1111/j.1467-985x.2004.00347_18.x · Cited by 307
Meta-Analysis in Genome-Wide Association Studies
Zeggini, E., & Ioannidis, J. P. A. (2009) · Pharmacogenomics · doi:10.2217/14622416.10.2.191 · Cited by 294
INCORPORATING VARIABILITY IN ESTIMATES OF HETEROGENEITY IN THE RANDOM EFFECTS MODEL IN META-ANALYSIS
Biggerstaff, B. J., & Tweedie, R. L. (1997) · Statistics in Medicine · doi:10.1002/(sici)1097-0258(19970415)16:7 · Cited by 272
The Problems in Using Fixed-Effects Models of Meta-Analysis on Real-World Data
Field, A. P. (2003) · Understanding Statistics · doi:10.1207/s15328031us0202_02 · Cited by 237
The Detection of Partial Association, I: The 2 × 2 Case
Birch, M. W. (1964) · Journal of the Royal Statistical Society Series B (Statistical Methodology) · doi:10.1111/j.2517-6161.1964.tb00564.x · Cited by 198
Quantifying and correcting for the winner's curse in genetic association studies
Xiao, R., & Boehnke, M. (2009) · Genetic Epidemiology · doi:10.1002/gepi.20398 · Cited by 192
McMahon, F. J., Akula, N., Schulze, T. G., Detera‐Wadleigh, S. D., Steele, C. J. M., Wendland, J. R., Breuer, R., Strohmaier, J., Rietschel, M., Muglia, P., et al. (2010) · Nature Genetics · doi:10.1038/ng.523 · Cited by 180
Han, B., Kang, H. M., & Eskin, E. (2009) · PLoS Genetics · doi:10.1371/journal.pgen.1000456 · Cited by 171
Self-citationFlexible parametric models for random‐effects distributions
Lee, K. J., & Thompson, S. G. (2007) · Statistics in Medicine · doi:10.1002/sim.2897 · Cited by 148
Meta-Analysis in Genome-Wide Association Datasets: Strategies and Application in Parkinson Disease
Εvangelou, Ε., Maraganore, D. M., & Ioannidis, J. P. A. (2007) · PLoS ONE · doi:10.1371/journal.pone.0000196 · Cited by 83
Population-Specific Risk of Type 2 Diabetes Conferred by HNF4A P2 Promoter Variants
Barroso, I., Luan, J., Wheeler, E., Whittaker, P., Wasson, J., Zeggini, E., Weedon, M. N., Hunt, S. E., Venkatesh, R., Frayling, T. M., et al. (2008) · Diabetes · doi:10.2337/db08-0719 · Cited by 42
Confronting ethnicity-specific disease risk
Tang, H. (2006) · Nature Genetics · doi:10.1038/ng0106-13 · Cited by 35
Dealing with Heterogeneity between Cohorts in Genomewide SNP Association Studies
Lebrec, J., Stijnen, T., & van Houwelingen, H. C. (2010) · Statistical Applications in Genetics and Molecular Biology · doi:10.2202/1544-6115.1503 · Cited by 25
Vestergaard, H., Hansen, B. L., Johannesen, T. B., Løge, I., Claudi, T., Vaaler, S., & Cooper, J. (2009) · Research at the University of Copenhagen (University of Copenhagen) · Cited by 15
Explaining heterogeneity in meta-analysis: a comparison of methods
Thompson, S. G., & Sharp, S. J. (1999) · Statistics in Medicine · doi:10.1002/(sici)1097-0258(19991030)18:20
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Metadata
- Authors
- Han, B., & Eskin, E.
- Affiliations
- University of California, Los Angeles (US)
- Corresponding author
- Eskin, Eleazar
- Venue
- The American Journal of Human Genetics
- Publisher
- Elsevier BV
- Published
- 2011-05
- Volume
- 88
- Issue
- 5
- Pages
- 586-598
- ISSN
- 0002-9297 (ISSN-L)
- PMC
- PMC3146723
- OpenAlex
- W2042421957
- Cited by
- 680
- References
- 55
- Citations by year
- 2026: 39 · 2025: 53 · 2024: 86 · 2023: 57 · 2022: 68 · 2021: 54 · 2020: 44 · 2019: 52 · 2018: 48 · 2017: 32 · 2016: 40 · 2015: 27 · 2014: 37 · 2013: 21 · 2012: 17
- FWCI
- 2.62
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- The American Journal of Human Genetics (publishedVersion)
- Europe PMC (PubMed Central) (publishedVersion)
- PubMed Central (publishedVersion)
- PubMed (publishedVersion)
- Seoul National University Open Repository (Seoul National University) (submittedVersion)
- Funders
- National Institutes of Health (5u01da024417-02)
- National Heart, Lung, and Blood Institute (K25HL080079)
- National Institute on Drug Abuse (U01-DA024417)
- National Institute of Environmental Health Sciences (N01 ES045530)
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Genetic Associations and Epidemiology
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Meta-analysis and systematic reviews
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Bioinformatics and Genomic Networks
- Keywords
- random effects models, genome-wide association study, meta-analysis, heterogeneity, fixed effects model, statistical power, null hypothesis, association discovery
- MeSH terms
- Crohn Disease, Diabetes Mellitus, Type 2, Humans, Models, Genetic, Models, Statistical, Likelihood Functions, Quantitative Trait Loci, Genome-Wide Association Study
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