Cited by 321Genetic Associations and EpidemiologyGenetic Mapping and Diversity in Plants and AnimalsStatistical Methods and Inference

Simultaneous Analysis of All SNPs in Genome-Wide and Re-Sequencing Association Studies

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Hoggart, Clive J., Whittaker, John C., De Iorio, Maria, Balding, David J.·2008·PLoS Genetics

Abstract

Testing one SNP at a time does not fully realise the potential of genome-wide association studies to identify multiple causal variants, which is a plausible scenario for many complex diseases. We show that simultaneous analysis of the entire set of SNPs from a genome-wide study to identify the subset that best predicts disease outcome is now feasible, thanks to developments in stochastic search methods. We used a Bayesian-inspired penalised maximum likelihood approach in which every SNP can be considered for additive, dominant, and recessive contributions to disease risk. Posterior mode estimates were obtained for regression coefficients that were each assigned a prior with a sharp mode at zero. A non-zero coefficient estimate was interpreted as corresponding to a significant SNP. We investigated two prior distributions and show that the normal-exponential-gamma prior leads to improved SNP selection in comparison with single-SNP tests. We also derived an explicit approximation for type-I error that avoids the need to use permutation procedures. As well as genome-wide analyses, our method is well-suited to fine mapping with very dense SNP sets obtained from re-sequencing and/or imputation. It can accommodate quantitative as well as case-control phenotypes, covariate adjustment, and can be extended to search for interactions. Here, we demonstrate the power and empirical type-I error of our approach using simulated case-control data sets of up to 500 K SNPs, a real genome-wide data set of 300 K SNPs, and a sequence-based dataset, each of which can be analysed in a few hours on a desktop workstation.

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  • Simulation studies and permutation testing that consider the entire set of tests performed are the most appropriate way to obtain a global false positive rate.

    “Simulation studies and permutation testing that consider the entire set of tests performed (e.g., all windows and groups of variants across all genomic regions considered) to a get a global false positive rate are the most appropriate given their flexibility and sound theoretical bases, but will likely be very computationally intensive.75”
  • Newer regression techniques using regularization and shrinkage can overcome collinearity and overfitting problems.

    “Newer regression techniques that make use of regularization and shrinkage parameters to control for collinearity and overfitting can be used to overcome these problems.”
  • Ridge regression and LASSO have been considered in genetic association analysis contexts, and other methods have been proposed.

    “Two such techniques, ridge regression74 and the LASSO75,76 have been considered in genetic association analysis contexts, and other methods have also been proposed as well.77–80, 81”

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  1. [8]West M 2003 Bayes factor regression models in the large p small n paradigm. Bayesian Statistics 7 Oxford Clarendon Press 733 42

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Authors
Hoggart, C. J., Whittaker, J. C., De Iorio, M., & Balding, D. J.
Affiliations
  • Imperial College London (GB)
  • London School of Hygiene & Tropical Medicine (GB)
Corresponding author
Hoggart, Clive J.
Venue
PLoS Genetics
Published
2008-07-25
Volume
4
Issue
7
Pages
e1000130
ISSN
  • 1553-7390 (ISSN-L)
  • 1553-7404
OpenAlex
W2095741373
Cited by
321
References
31
Citations by year
2026: 2 · 2025: 5 · 2024: 11 · 2023: 7 · 2022: 8 · 2021: 9 · 2020: 9 · 2019: 20 · 2018: 20 · 2017: 15 · 2016: 16 · 2015: 21 · 2014: 30 · 2013: 29 · 2012: 42
FWCI
14.66
Type
journal article
Language
en
Open access
Locations
  • PLoS Genetics (publishedVersion, cc-by)
  • PubMed Central (publishedVersion, cc-by)
  • PubMed (publishedVersion)
  • LSHTM Research Online (London School of Hygiene and Tropical Medicine) (acceptedVersion)
  • Minerva Access (University of Melbourne) (submittedVersion, cc-by)
  • RePEc: Research Papers in Economics (submittedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
  • UCL Discovery (University College London) (submittedVersion)
Funders
Medical Research Council
Topics
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Genetic Associations and Epidemiology
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Genetic Mapping and Diversity in Plants and Animals
  • Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Inference
Keywords
genome-wide association study, posterior mode estimation, fine mapping, complex diseases, quantitative phenotypes, gene-gene interaction, stochastic search
MeSH terms
Algorithms, Bayes Theorem, Chromosomes, Human, Computer Simulation, Diabetes Mellitus, Type 2, Feasibility Studies, Genotype, Haplotypes, Humans, Software, Linkage Disequilibrium, Genome, Human, Likelihood Functions, Case-Control Studies, Sequence Analysis, DNA, Genetic Predisposition to Disease, Physical Chromosome Mapping, Polymorphism, Single Nucleotide

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