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Variable selection for joint models with time-varying coefficients.

Yujing Xie1, Zangdong He2,3, Wanzhu Tu4

  • 1School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai, China.

Statistical Methods in Medical Research
|September 13, 2019
PubMed
Summary
This summary is machine-generated.

This study introduces advanced joint models with time-varying coefficients for analyzing longitudinal and survival data. It offers a data-driven approach for variable selection, improving clinical study analysis.

Keywords:
B-splineGaussian quadratureadaptive LASSO

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Area of Science:

  • Biostatistics
  • Clinical Data Analysis
  • Longitudinal Data Modeling

Background:

  • Clinical studies often involve concurrent collection of longitudinal and survival data.
  • Standard joint models assume time-invariant coefficients, which can be overly restrictive in practice.

Purpose of the Study:

  • To extend standard joint models to incorporate time-varying coefficients for both longitudinal and survival components.
  • To develop a data-driven method for variable selection in these extended joint models.

Main Methods:

  • Utilized B-spline decomposition and penalized likelihood with adaptive group LASSO for variable selection.
  • Distinguished time-varying and time-invariant effects using the proposed methodology.
  • Employed Gaussian-Legendre and Gaussian-Hermite quadratures for integral approximation.

Main Results:

  • Simulation studies demonstrated good performance in both variable selection and parameter estimation.
  • The proposed method effectively handles complex relationships in longitudinal and survival data.

Conclusions:

  • The extended joint model with time-varying coefficients provides a more flexible and accurate approach for analyzing concurrent longitudinal and survival data.
  • The data-driven variable selection method enhances the interpretability and applicability of joint models in clinical research, as shown in the primary biliary cirrhosis study analysis.