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Multithreshold change plane model: Estimation theory and applications in subgroup identification.

Jialiang Li1,2,3, Yaguang Li4, Baisuo Jin4

  • 1Department of Statistics and Applied Probability, National University of Singapore, Singapore, Singapore.

Statistics in Medicine
|April 12, 2021
PubMed
Summary
This summary is machine-generated.

This study introduces a new regression model to identify patient subgroups with distinct covariate effects. This method aids in personalized medicine by revealing underlying group structures and improving treatment strategies.

Keywords:
change planeinduced smoothingpenalty functionprecision medicinesubgroup identification

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Area of Science:

  • Statistics
  • Biostatistics
  • Machine Learning

Background:

  • Identifying subgroups with varying covariate effects is crucial for personalized medicine.
  • Existing methods may not effectively handle complex subgroup structures or high-dimensional data.

Purpose of the Study:

  • To propose a novel multithreshold change plane regression model for subgroup identification.
  • To develop a robust two-stage estimation approach for determining subgroup number, thresholds, and parameters.
  • To enable sparse solutions in moderate- to high-dimensional covariate settings.

Main Methods:

  • A two-stage estimation approach is introduced.
  • Stage one utilizes a group selection principle for consistent subgroup number identification.
  • Stage two refines change point locations and model parameters using penalized induced smoothing.

Main Results:

  • The proposed model effectively partitions subjects into subgroups with different covariate effects.
  • The method allows for sparse solutions, suitable for moderate- to high-dimensional covariates.
  • Asymptotic properties of the estimators are established.

Conclusions:

  • The multithreshold change plane regression model offers a powerful tool for subgroup discovery.
  • The novel estimation approach provides consistent and refined parameter estimates.
  • This methodology has direct applications in personalized medicine for tailored treatment strategies.