Semiparametric analysis of complex polygenic gene-environment interactions in case-control studies
Odile Stalder,
Alex Asher,
Liang Liang,
Raymond J Carroll,
Yanyuan Ma and
Nilanjan Chatterjee
Biometrika, 2017, vol. 104, issue 4, 801-812
Abstract:
SummaryMany methods have recently been proposed for efficient analysis of case-control studies of gene-environment interactions using a retrospective likelihood framework that exploits the natural assumption of gene-environment independence in the underlying population. However, for polygenic modelling of gene-environment interactions, which is a topic of increasing scientific interest, applications of retrospective methods have been limited due to a requirement in the literature for parametric modelling of the distribution of the genetic factors. We propose a general, computationally simple, semiparametric method for analysis of case-control studies that allows exploitation of the assumption of gene-environment independence without any further parametric modelling assumptions about the marginal distributions of any of the two sets of factors. The method relies on the key observation that an underlying efficient profile likelihood depends on the distribution of genetic factors only through certain expectation terms that can be evaluated empirically. We develop asymptotic inferential theory for the estimator and evaluate its numerical performance via simulation studies. An application of the method is presented.
Keywords: Case-control study; Gene-environment interaction; Genetic epidemiology; Pseudolikelihood; Retrospective study; Semiparametric method (search for similar items in EconPapers)
Date: 2017
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