Hierarchical Failure Time Regression Using Mixtures for Classification of the Immune Response of Atlantic Salmon

Jose S. Romeo, Renate Meyer, Felipe E. Reyes-Lopez

Research output: Contribution to journalArticleResearchpeer-review

Abstract

© 2014, International Biometric Society. This work presents a Bayesian hierarchical model with the dual objective to analyze stratified survival data and to automatically classify each stratum into a finite number of groups. This is achieved by specifying parametric as well as piecewise stratum-specific baseline hazards and a finite mixture distribution for the stratum-specific shape parameters. A proportional hazards or accelerated failure time regression component allows to identify the influence of covariates on the survival distribution. We illustrate the model using a dataset of Atlantic salmon, stratified by families, that have been challenged with infectious pancreatic necrosis virus (IPNV). The main objectives are to model the survival time in terms of certain covariates as well as to classify the salmon families into either an IPNV susceptible or resistant group with the ultimate goal of improving resistance to IPNV through a selective breeding program. We compare the fit of different models that include stratum-specific baselines and covariate effects. The classifications show a certain degree of robustness with respect to model choice.
Original languageEnglish
Pages (from-to)503-523
JournalJournal of Agricultural, Biological, and Environmental Statistics
Volume19
Issue number4
DOIs
Publication statusPublished - 1 Jan 2014

Keywords

  • Accelerated failure time model
  • Bayesian stratified survival analysis
  • Finite mixture model
  • Piecewise exponential model
  • Proportional hazards regression
  • Random effect model

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