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Deviance Information Criterion (DIC) in Bayesian Multiple QTL Mapping.

Daniel Shriner1, Nengjun Yi

  • 1Department of Biostatistics, Section on Statistical Genetics, University of Alabama at Birmingham, Birmingham, AL 35294.

Computational Statistics & Data Analysis
|February 18, 2010
PubMed
Summary
This summary is machine-generated.

This study introduces the Deviance Information Criterion (DIC) for Bayesian multiple quantitative trait loci (QTL) mapping. The DIC effectively balances model fit and complexity for improved genome-wide QTL analysis.

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Area of Science:

  • Genetics
  • Statistical Genetics
  • Bioinformatics

Background:

  • Multiple quantitative trait loci (QTL) mapping is often framed as a model selection problem.
  • Existing model selection criteria are primarily non-Bayesian.
  • The Deviance Information Criterion (DIC) is a popular Bayesian model selection tool but has not been applied to multiple QTL mapping.

Purpose of the Study:

  • To derive and apply the DIC for Bayesian multiple interacting QTL models.
  • To demonstrate DIC calculation using Markov chain Monte Carlo (MCMC) algorithms.
  • To provide a computationally efficient method for sensitivity analysis in QTL mapping.

Main Methods:

  • Derivation of the DIC for multiple interacting QTL models.
  • Calculation of DIC using posterior samples from MCMC algorithms.
  • Implementation of the DIC within the R/qtlbim package.

Main Results:

  • The DIC measures posterior predictive error by penalizing model deviance with effective number of parameters.
  • The effective number of parameters accounts for various factors including sample size, genetic design, chromosome characteristics, covariates, and QTL properties.
  • The DIC facilitates evaluation of the necessity of including environmental and interaction effects.

Conclusions:

  • The DIC is a valuable and computationally efficient criterion for Bayesian multiple QTL mapping.
  • The R/qtlbim package enables widespread use of Bayesian methods for genome-wide interacting QTL analysis.
  • This approach enhances the quantitative evaluation of complex genetic models.