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New perspective on the benefits of the gene-environment independence in case-control studies
Journal article   Peer reviewed

New perspective on the benefits of the gene-environment independence in case-control studies

Hao Luo, Gabriela Cohen Freue, Xin Zhao, Alexandre Bouchard-Cote, Igor Burstyn and Paul Gustafson
Canadian journal of statistics, v 47(3), pp 473-486
01 Sep 2019

Abstract

Mathematics Physical Sciences Science & Technology Statistics & Probability
We study the benefit of exploiting the gene-environment independence (GEI) assumption for inferring the joint effect of genotype and environmental exposure on disease risk in a case-control study. By transforming the problem into a constrained maximum likelihood estimation problem we derive the asymptotic distribution of the maximum likelihood estimator (MLE) under the GEI assumption (MLE-GEI) in a closed form. Our approach uncovers a transparent explanation of the efficiency gained by exploiting the GEI assumption in more general settings, thus bridging an important gap in the existing literature. Moreover, we propose an easy-to-implement numerical algorithm for estimating the model parameters in practice. Finally, we conduct simulation studies to compare the proposed method with the traditional prospective logistic regression method and the case-only estimator. The Canadian Journal of Statistics 47: 473-486; 2019 (c) 2019 Statistical Society of Canada

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Web of Science research areas
Statistics & Probability
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