Genomic-enabled prediction of ordinal data with bayesian logistic ordinal regression

Osval A. Montesinos-López, Abelardo Montesinos-López, José Crossa, Juan Burgueño, Kent Eskridge

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

Most genomic-enabled prediction models developed so far assume that the response variable is continuous and normally distributed. The exception is the probit model, developed for ordered categorical phenotypes. In statistical applications, because of the easy implementation of the Bayesian probit ordinal regression (BPOR) model, Bayesian logistic ordinal regression (BLOR) is implemented rarely in the context of genomic-enabled prediction [sample size (n) is much smaller than the number of parameters (p)]. For this reason, in this paper we propose a BLOR model using the Pólya-Gamma data augmentation approach that produces a Gibbs sampler with similar full conditional distributions of the BPORmodel and with the advantage that the BPOR model is a particular case of the BLOR model. We evaluated the proposed model by using simulation and two real data sets. Results indicate that our BLOR model is a good alternative for analyzing ordinal data in the context of genomic-enabled prediction with the probit or logit link.

Original languageEnglish (US)
Pages (from-to)2113-2126
Number of pages14
JournalG3: Genes, Genomes, Genetics
Volume5
Issue number10
DOIs
StatePublished - 2015

Keywords

  • Bayesian ordinal regression
  • GenPred
  • Genomic selection
  • Gibbs sampler
  • Logit
  • Probit
  • Shared data resource

ASJC Scopus subject areas

  • Molecular Biology
  • Genetics
  • Genetics(clinical)

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