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Hierarchical inverse Gaussian models and multiple testing: application to gene expression data.

Aurelie Labbe1, Mary Thompson

  • 1Universite Laval. alabbe@mat.ulaval.ca

Statistical Applications in Genetics and Molecular Biology
|May 2, 2006
PubMed
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This study introduces Bayesian models using the inverse Gaussian distribution for analyzing gene expression data in microarrays. These models offer robust alternatives to traditional log-normal and gamma distributions, improving hypothesis testing accuracy.

Area of Science:

  • Bioinformatics
  • Statistical Genomics
  • Computational Biology

Background:

  • Differential gene expression analysis in microarrays is crucial.
  • Existing methods often rely on restrictive distributional assumptions (log-normal, gamma).
  • These assumptions can be violated, impacting the reliability of results.

Purpose of the Study:

  • To propose and evaluate Bayesian models with inverse Gaussian distribution for gene expression data.
  • To assess the performance of these models regarding tail fitting and robustness.
  • To develop a multiple testing procedure suitable for these models.

Main Methods:

  • Bayesian hierarchical models utilizing the inverse Gaussian distribution.
  • Comparison with traditional Bayesian gamma and log-normal models.

Related Experiment Videos

  • Development of a multiple testing procedure based on posterior probabilities.
  • Main Results:

    • Inverse Gaussian models demonstrate competitive performance against traditional models in specific scenarios.
    • The proposed models show good fit to the tails of observed distributions.
    • The multiple testing procedure is well-approximated even with small sample sizes.

    Conclusions:

    • Bayesian inverse Gaussian models offer a robust alternative for differential gene expression analysis.
    • These models improve upon existing methods by addressing distributional assumption violations.
    • The developed multiple testing procedure is effective for microarray data analysis.