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A synthetic data integration framework to leverage external summary-level information from heterogeneous populations.

Tian Gu1, Jeremy Michael George Taylor1, Bhramar Mukherjee1

  • 1Department of Biostatistics, University of Michigan, Ann Arbor, Michigan, USA.

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|March 6, 2023
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Summary

This study introduces a flexible imputation method to integrate individual data with external summary information for better statistical inference. The approach enhances risk prediction models by utilizing diverse external data, even with varying predictors and populations.

Keywords:
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Area of Science:

  • Biostatistics
  • Statistical Inference
  • Risk Prediction Modeling

Background:

  • Growing need for flexible frameworks integrating individual data with external summary information.
  • External information for risk prediction can be in various forms (e.g., regression coefficients, predicted values).
  • External models may differ in predictors, algorithms, and underlying populations compared to internal studies.

Purpose of the Study:

  • To propose an imputation-based methodology for fitting target regression models using all internal study predictors.
  • To leverage external summary information from models that may use only a subset of predictors.
  • To address prostate cancer risk prediction with novel biomarkers measured only in the internal study.

Main Methods:

  • Proposes an imputation-based methodology for statistical inference.
  • Generates synthetic outcome data in external populations.
  • Utilizes stacked multiple imputation for a long dataset with complete covariate information.
  • Conducts final analysis via weighted regression on the stacked imputed data.

Main Results:

  • Improves statistical efficiency of estimated coefficients in the internal study.
  • Enhances predictions by incorporating partial information from external models.
  • Enables statistical inference for external populations, accommodating potential covariate effect heterogeneity.

Conclusions:

  • The proposed flexible and unified approach effectively integrates individual and external summary data.
  • It improves statistical efficiency and prediction accuracy in risk modeling.
  • The method provides robust statistical inference across different populations with varying covariate effects.