Bibliographical Connections for Semiparametric Analysis in Case-Control Studies on Gene-Environment Interactions
Pub. online: 16 October 2024
Type: Data Science Reviews
Open Access
Open Access
Received
30 June 2024
30 June 2024
Accepted
23 September 2024
23 September 2024
Published
16 October 2024
16 October 2024
Abstract
Analyzing the gene-environment interaction (GEI) is crucial for understanding the etiology of many complex traits. Among various types of study designs, case-control studies are popular for analyzing gene-environment interactions due to their efficiency in collecting covariate information. Extensive literature explores efficient estimation under various assumptions made about the relationship between genetic and environmental variables. In this paper, we comprehensively review the methods based on or related to the retrospective likelihood, including the methods based on the hypothetical population concept, which has been largely overlooked in GEI research in the past decade. Furthermore, we establish the methodological connection between these two groups of methods by deriving a new estimator from both the retrospective likelihood and the hypothetical population perspectives. The validity of the derivation is demonstrated through numerical studies.
Supplementary material
Supplementary MaterialThe code that implements Algorithm 1 in Section 3.3 is provided in the Supplementary Materials
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