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Speeding up interval estimation for R2-based mediation effect of high-dimensional mediators via cross-fitting
Zhichao Xu1, Chunlin Li2, Sunyi Chi1
1Department of Biostatistics, The University of Texas MD Anderson Cancer Center, 7007 Bertner Avenue, Houston, TX 77030, United States.
This study introduces an efficient R-squared measure for mediation analysis using gene expression data. The new method improves computational speed while accurately estimating mediation effects in high-dimensional omics studies.
Area of Science:
- Genomics
- Biostatistics
- Systems Biology
Background:
- Mediation analysis investigates how molecular phenotypes, like gene expression, link exposures to health outcomes.
- Traditional mean-based mediation measures can be inaccurate with high-dimensional omics data due to effect cancellation.
- Nonparametric bootstrap methods for R-squared mediation measures are computationally intensive.
Purpose of the Study:
- To develop a computationally efficient two-stage, cross-fitted estimation procedure for the R-squared total mediation effect measure.
- To provide a more reliable mediation analysis for high-dimensional molecular data.
- To enable accurate confidence interval estimation for R-squared mediation effects.
Main Methods:
- A two-stage, cross-fitted estimation procedure was developed for the R-squared mediation measure.
- Iterative Sure Independence Screening (iSIS) was used in subsamples to identify relevant mediators.
- Ordinary least squares regressions and a closed-form asymptotic distribution were used for variance and confidence interval estimation.
Main Results:
- The proposed procedure significantly improves computational efficiency compared to resampling methods.
- The method maintains comparable coverage probability to bootstrap methods.
- Application to the Framingham Heart Study validated findings on gene expression mediating blood pressure and identified gene roles in cholesterol levels.
Conclusions:
- The new estimation procedure offers a computationally efficient and accurate approach for R-squared mediation analysis in high-dimensional omics settings.
- This method enhances the understanding of molecular mechanisms underlying health outcomes.
- The procedure is available in the R package CFR2M.
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