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Bayesian hierarchical structured variable selection methods with application to molecular inversion probe studies in breast cancer

Author

Listed:
  • Lin Zhang
  • Veerabhadran Baladandayuthapani
  • Bani K. Mallick
  • Ganiraju C. Manyam
  • Patricia A. Thompson
  • Melissa L. Bondy
  • Kim-Anh Do

Abstract

type="main" xml:id="rssc12053-abs-0001"> The analysis of genomics alterations that may occur in nature when segments of chromosomes are copied (known as copy number alterations) has been a focus of research to identify genetic markers of cancer. One high throughput technique that has recently been adopted is the use of molecular inversion probes to measure probe copy number changes. The resulting data consist of high dimensional copy number profiles that can be used to ascertain probe-specific copy number alterations in correlative studies with patient outcomes to guide risk stratification and future treatment. We propose a novel Bayesian variable selection method, the hierarchical structured variable selection method, which accounts for the natural gene and probe-within-gene architecture to identify important genes and probes associated with clinically relevant outcomes. We propose the hierarchical structured variable selection model for grouped variable selection, where simultaneous selection of both groups and within-group variables is of interest. The hierarchical structured variable selection model utilizes a discrete mixture prior distribution for group selection and group-specific Bayesian lasso hierarchies for variable selection within groups. We provide methods for accounting for serial correlations within groups that incorporate Bayesian fused lasso methods for within-group selection. Through simulations we establish that our method results in lower model errors than other methods when a natural grouping structure exists. We apply our method to a molecular inversion probe study of breast cancer and show that it identifies genes and probes that are significantly associated with clinically relevant subtypes of breast cancer.

Suggested Citation

  • Lin Zhang & Veerabhadran Baladandayuthapani & Bani K. Mallick & Ganiraju C. Manyam & Patricia A. Thompson & Melissa L. Bondy & Kim-Anh Do, 2014. "Bayesian hierarchical structured variable selection methods with application to molecular inversion probe studies in breast cancer," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 63(4), pages 595-620, August.
  • Handle: RePEc:bla:jorssc:v:63:y:2014:i:4:p:595-620
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    File URL: http://hdl.handle.net/10.1111/rssc.2014.63.issue-4
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    Cited by:

    1. Jonathan Heydari & Conor Lawless & David A. Lydall & Darren J. Wilkinson, 2016. "Bayesian hierarchical modelling for inferring genetic interactions in yeast," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 65(3), pages 367-393, April.
    2. Mogliani, Matteo & Simoni, Anna, 2021. "Bayesian MIDAS penalized regressions: Estimation, selection, and prediction," Journal of Econometrics, Elsevier, vol. 222(1), pages 833-860.
    3. Siying Chen & Sara Nunez & Muredach P. Reilly & Andrea S. Foulkes, 2017. "Bayesian variable selection for post-analytic interrogation of susceptibility loci," Biometrics, The International Biometric Society, vol. 73(2), pages 603-614, June.
    4. Yize Zhao & Ben Wu & Jian Kang, 2023. "Bayesian interaction selection model for multimodal neuroimaging data analysis," Biometrics, The International Biometric Society, vol. 79(2), pages 655-668, June.

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