Hierarchical inference for genome-wide association studies: a view on methodology with software
Claude Renaux, Laura Buzdugan, Markus Kalisch, Peter B\"uhlmann

TL;DR
This paper reviews and introduces new methods for high-dimensional inference in GWAS, emphasizing multivariate models and software tools to improve causal inference over traditional marginal approaches.
Contribution
It presents novel developments for meta-analysis across multiple studies and introduces the R-package hierinf for advanced high-dimensional inference in GWAS.
Findings
Enhanced software for high-dimensional GWAS analysis
Meta-analysis methods for multiple studies
Shift towards causal inference in GWAS
Abstract
We provide a view on high-dimensional statistical inference for genome-wide association studies (GWAS). It is in part a review but covers also new developments for meta analysis with multiple studies and novel software in terms of an R-package hierinf. Inference and assessment of significance is based on very high-dimensional multivariate (generalized) linear models: in contrast to often used marginal approaches, this provides a step towards more causal-oriented inference.
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