Volume 71, Issue 3
BIOMETRIC METHODOLOGY

Set‐based tests for genetic association in longitudinal studies

Zihuai He

Department of Biostatistics, University of Michigan, Ann Arbor, Michigan, U.S.A.

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Min Zhang

Corresponding Author

Department of Biostatistics, University of Michigan, Ann Arbor, Michigan, U.S.A.

email: mzhangst@umich.edu

**email: bhramar@umich.edu

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Seunggeun Lee

Department of Biostatistics, University of Michigan, Ann Arbor, Michigan, U.S.A.

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Jennifer A. Smith

Department of Epidemiology, University of Michigan, Ann Arbor, Michigan, U.S.A.

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Xiuqing Guo

Department of Pediatrics, Harbor‐UCLA Medical Center, Torrance, California, U.S.A.

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Walter Palmas

Department of Medicine, Columbia University, New York, New York, U.S.A.

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Sharon L. R. Kardia

Department of Epidemiology, University of Michigan, Ann Arbor, Michigan, U.S.A.

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Ana V. Diez Roux

Department of Epidemiology, Drexel University, Philadelphia, U.S.A.

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Bhramar Mukherjee

Corresponding Author

Department of Biostatistics, University of Michigan, Ann Arbor, Michigan, U.S.A.

email: mzhangst@umich.edu

**email: bhramar@umich.edu

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First published: 08 April 2015
Citations: 9

Summary

Genetic association studies with longitudinal markers of chronic diseases (e.g., blood pressure, body mass index) provide a valuable opportunity to explore how genetic variants affect traits over time by utilizing the full trajectory of longitudinal outcomes. Since these traits are likely influenced by the joint effect of multiple variants in a gene, a joint analysis of these variants considering linkage disequilibrium (LD) may help to explain additional phenotypic variation. In this article, we propose a longitudinal genetic random field model (LGRF), to test the association between a phenotype measured repeatedly during the course of an observational study and a set of genetic variants. Generalized score type tests are developed, which we show are robust to misspecification of within‐subject correlation, a feature that is desirable for longitudinal analysis. In addition, a joint test incorporating gene–time interaction is further proposed. Computational advancement is made for scalable implementation of the proposed methods in large‐scale genome‐wide association studies (GWAS). The proposed methods are evaluated through extensive simulation studies and illustrated using data from the Multi‐Ethnic Study of Atherosclerosis (MESA). Our simulation results indicate substantial gain in power using LGRF when compared with two commonly used existing alternatives: (i) single marker tests using longitudinal outcome and (ii) existing gene‐based tests using the average value of repeated measurements as the outcome.

Number of times cited according to CrossRef: 9

  • Pathway analysis of rare variants for the clustered phenotypes by using hierarchical structured components analysis, BMC Medical Genomics, 10.1186/s12920-019-0517-4, 12, S5, (2019).
  • Distributed lag interaction models with two pollutants, Journal of the Royal Statistical Society: Series C (Applied Statistics), 10.1111/rssc.12297, 68, 1, (79-97), (2018).
  • Flexible Modeling of Genetic Effects on Function-Valued Traits, Journal of Computational Biology, 10.1089/cmb.2016.0174, 24, 6, (524-535), (2017).
  • Unified Sequence-Based Association Tests Allowing for Multiple Functional Annotations and Meta-analysis of Noncoding Variation in Metabochip Data, The American Journal of Human Genetics, 10.1016/j.ajhg.2017.07.011, 101, 3, (340-352), (2017).
  • Adaptive testing for association between two random vectors in moderate to high dimensions, Genetic Epidemiology, 10.1002/gepi.22059, 41, 7, (599-609), (2017).
  • Rare‐variant association tests in longitudinal studies, with an application to the Multi‐Ethnic Study of Atherosclerosis (MESA), Genetic Epidemiology, 10.1002/gepi.22081, 41, 8, (801-810), (2017).
  • A score test for genetic class‐level association with nonlinear biomarker trajectories, Statistics in Medicine, 10.1002/sim.7314, 36, 19, (3075-3091), (2017).
  • Set-Based Tests for the Gene–Environment Interaction in Longitudinal Studies, Journal of the American Statistical Association, 10.1080/01621459.2016.1252266, 112, 519, (966-978), (2016).
  • Flexible Modelling of Genetic Effects on Function-Valued Traits, Research in Computational Molecular Biology, 10.1007/978-3-319-31957-5_7, (95-110), (2016).

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