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High-Dimensional Mediation Analysis for Time-to-Event Outcomes with Additive Hazards Model

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  • Meng An

    (Center for Applied Mathematics, Tianjin University, Tianjin 300072, China)

  • Haixiang Zhang

    (Center for Applied Mathematics, Tianjin University, Tianjin 300072, China)

Abstract

Mediation analysis plays an increasingly crucial role in identifying potential causal pathways between exposures and outcomes. However, there is currently a lack of developed mediation approaches for high-dimensional survival data, particularly when considering additive hazard models. The present study introduces two novel approaches for identifying statistically significant mediators in high-dimensional additive hazard models, including the multiple testing-based mediator selection method and knockoff filter procedure. The simulation results demonstrate the outstanding performance of these two proposed methods. Finally, we employ the proposed methodology to analyze the Cancer Genome Atlas (TCGA) cohort in order to identify DNA methylation markers that mediate the association between smoking and survival time among lung cancer patients.

Suggested Citation

  • Meng An & Haixiang Zhang, 2023. "High-Dimensional Mediation Analysis for Time-to-Event Outcomes with Additive Hazards Model," Mathematics, MDPI, vol. 11(24), pages 1-11, December.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:24:p:4891-:d:1295222
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    References listed on IDEAS

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    1. Fan J. & Li R., 2001. "Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 1348-1360, December.
    2. Andriy Derkach & Ruth M. Pfeiffer & Ting‐Huei Chen & Joshua N. Sampson, 2019. "High dimensional mediation analysis with latent variables," Biometrics, The International Biometric Society, vol. 75(3), pages 745-756, September.
    3. Yanyi Song & Xiang Zhou & Min Zhang & Wei Zhao & Yongmei Liu & Sharon L. R. Kardia & Ana V. Diez Roux & Belinda L. Needham & Jennifer A. Smith & Bhramar Mukherjee, 2020. "Bayesian shrinkage estimation of high dimensional causal mediation effects in omics studies," Biometrics, The International Biometric Society, vol. 76(3), pages 700-710, September.
    4. Yang, Xuehua & Wu, Lijiao & Zhang, Haixiang, 2023. "A space-time spectral order sinc-collocation method for the fourth-order nonlocal heat model arising in viscoelasticity," Applied Mathematics and Computation, Elsevier, vol. 457(C).
    5. Jianqing Fan & Jinchi Lv, 2008. "Sure independence screening for ultrahigh dimensional feature space," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 70(5), pages 849-911, November.
    6. Zhao, Yi & Lindquist, Martin A. & Caffo, Brian S., 2020. "Sparse principal component based high-dimensional mediation analysis," Computational Statistics & Data Analysis, Elsevier, vol. 142(C).
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