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Penalized regression and model selection methods for polygenic scores on summary statistics.

Jack Pattee1, Wei Pan1

  • 1Division of Biostatistics, School of Public Health, University of Minnesota, Minneapolis, Minnesota.

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Summary

This study introduces a new penalized regression method for constructing polygenic risk scores using summary statistics. The Truncated Lasso Penalty (TLP) enhances predictive accuracy and sparsity for complex disease risk prediction.

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Area of Science:

  • Genetics
  • Biostatistics
  • Computational Biology

Background:

  • Polygenic scores are crucial for predicting complex disease risk.
  • Developing polygenic scores from summary statistics is an active research area.

Purpose of the Study:

  • To propose a novel penalized regression method for constructing polygenic risk scores using summary statistic data.
  • To extend existing methods by incorporating the Truncated Lasso Penalty (TLP) and elastic net.

Main Methods:

  • Utilized penalized regression with summary statistic and reference data.
  • Extended the LassoSum framework to include Truncated Lasso Penalty (TLP) and elastic net.
  • Developed methods for approximating AIC and BIC for model selection without validation data.
  • Proposed a quasi-correlation metric for evaluating out-of-sample predictive accuracy.

Main Results:

  • The TLP method demonstrated improved predictive accuracy and sparsity compared to LASSO in simulations and real data.
  • Proposed methods facilitate model selection and evaluation of polygenic risk scores using only summary statistics.
  • The approach was successfully applied to Genome-Wide Association Studies (GWAS) for lipids, height, and lung cancer.

Conclusions:

  • The proposed penalized regression methods enhance the construction and application of polygenic risk scores from summary statistics.
  • These methods improve predictive accuracy and enable robust model selection and evaluation in the absence of validation data.
  • The TLP approach offers a valuable tool for genetic risk prediction in complex diseases.