Semiparametric Bayesian Inference for Phage Display Data

Luis G. León-Novelo, Peter Müller, Wadih Arap, Mikhail Kolonin, Jessica Sun, Renata Pasqualini, Kim Anh Do

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We discuss inference for a human phage display experiment with three stages. The data are tripeptide counts by tissue and stage. The primary aim of the experiment is to identify ligands that bind with high affinity to a given tissue. We formalize the research question as inference about the monotonicity of mean counts over stages. The inference goal is then to identify a list of peptide-tissue pairs with significant increase over stages. We use a semiparametric Dirichlet process mixture of Poisson model. The posterior distribution under this model allows the desired inference about the monotonicity of mean counts. However, the desired inference summary as a list of peptide-tissue pairs with significant increase involves a massive multiplicity problem. We consider two alternative approaches to address this multiplicity issue. First we propose an approach based on the control of the posterior expected false discovery rate. We notice that the implied solution ignores the relative size of the increase. This motivates a second approach based on a utility function that includes explicit weights for the size of the increase.

Original languageEnglish (US)
Pages (from-to)174-183
Number of pages10
Issue number1
StatePublished - Mar 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics


  • Biopanning
  • Decision problem
  • Dirichlet process mixture
  • Multiple comparison
  • Phage display experiment


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