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Statistical model choice including variable selection based on variable importance: A relevant way for biomarkers

M P Ellies-Oury1, M Chavent2,3, A Conanec4

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This study introduces a computational method for selecting optimal regression models and key variables for prediction. The approach identified heat shock and metabolic proteins as key biomarkers for predicting meat tenderness.

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Area of Science:

  • Computational statistics
  • Bioinformatics
  • Animal science

Background:

  • Predicting numerical variables requires selecting appropriate regression models and relevant explanatory variables.
  • Existing methods may not efficiently integrate model selection with variable selection.
  • Identifying predictive biomarkers is crucial in fields like food science and animal breeding.

Purpose of the Study:

  • To develop and validate a computational methodology for simultaneous regression model and variable selection.
  • To implement this methodology in an R package for broad applicability.
  • To identify protein biomarkers predictive of meat tenderness in cattle.

Main Methods:

  • A computational approach combining parametric, semi-parametric, and non-parametric regression models (multiple linear regression, sliced inverse regression, random forests).
  • Variable importance assessment using random perturbations to select covariates above a threshold.
  • Learning/test sample approach to estimate Mean Square Error for model and variable selection accuracy.
  • Development of the R package 'modvarsel' (MODel and VARiable SELection).

Main Results:

  • The methodology demonstrated good performance on simulated data.
  • The R package 'modvarsel' was successfully applied to a real-world dataset.
  • Linear regression was identified as the best model for predicting meat tenderness.
  • Heat shock proteins and metabolic proteins were confirmed as the predominant predictive biomarkers for meat tenderness.

Conclusions:

  • The developed computational methodology provides an effective tool for integrated model and variable selection in regression analysis.
  • The 'modvarsel' R package offers a practical implementation for diverse datasets.
  • The study successfully identified key protein biomarkers related to meat tenderness, highlighting the importance of heat shock and metabolic proteins.