Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
권호 표지

Bayesian Analysis of Multivariate Threshold Animal Models Using Gibbs Sampling

  • Published : 2002.06.01
Download PDF
⟨ Previous Next ⟩

Abstract

The estimation of variance components or variance ratios in linear model is an important issue in plant or animal breeding fields, and various estimation methods have been devised to estimate variance components or variance ratios. However, many traits of economic importance in those fields are observed as dichotomous or polychotomous outcomes. The usual estimation methods might not be appropriate for these cases. Recently threshold linear model is considered as an important tool to analyze discrete traits specially in animal breeding field. In this note, we consider a hierarchical Bayesian method for the threshold animal model. Gibbs sampler for making full Bayesian inferences about random effects as well as fixed effects is described to analyze jointly discrete traits and continuous traits. Numerical example of the model with two discrete ordered categorical traits, calving ease of calves from born by heifer and calving ease of calf from born by cow, and one normally distributed trait, birth weight, is provided.

Keywords

References

  1. Journal of Animal Science v.74 Genetic (co)variances among birth-weight, 200-day weight, and postweaning gain in composites and parental breeds of beef cattle Bennett, G. L.;Gregory, K. E.
  2. Journal of Dairy Science v.78 Properties of genetic parameter estimates from selection experiments by Gibbs sampling Berger, P. J.;Lin, E. C.;Van Arendonk, J.;Janss, L.
  3. Journal of the American Statistical Association v.85 Illustration of Bayesian inference in normal data models using Gibbs sampling Gelfand A. E.;Hills, S. E.;Racine-Poon, A.;Smith, A. F. M.
  4. IEEE Transactions on Pattern Analysis and Machine Intelligence v.6 Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images Geman, S.;Geman, D.
  5. Genetics Selection Evolution v.15 Prediction of genetic merit from data on binary and quantitative variates with an application to calving difficulty, birth weight and pelvic opening Foulley, J. L.;Gianola, D.;Thompson, R.
  6. Genetics Selection Evolution v.15 Empirical Bayes estimation of parameters for n polygenic binary traits Foulley, J.L.;Gianola, D.;Hoeschele, I.
  7. Journal of Animal Science v.54 Theory and analysis of threshold characters Gianola, D.
  8. Genetics Selection Evolution v.15 Sire evaluation for ordered categorical data with a threshold model Gianola, D.;Fouley, J. L.
  9. Biometrics v.40 A mixed-model procedure for analyzing ordered categorical data Harville, D. A.;Mee, R. W.
  10. Biometrics v.32 A simple method for computing the inverse of a numerator relationship matrix used in prediction of breeding values Herderson, C. R.
  11. Acta Agriculture Scandinavica, Section A, Animal Science v.44 Bayesian inference on variance and covariance components for traits influenced by maternal and direct genetic effects using the Gibbs sampler Jensen, J.;Wang, C. S.;Sorensen, D.;Gianola, D.
  12. Genetic correlation estimates for weaning weight and postweaning gain for Hereford populations in different coultries Lee, D. H.;Bertrand, J. K.
  13. Journal of Dairy Science v.72 Computing aspects of nonlinear method of sire evaluation for categorical data Misztal, I.;Gianola, D.;Fouley, J. L.
  14. Genetics Selection Evolution v.29 On biased inferences about variance components in the binary threshold model Moreno, C.;Sorensen, D.;Garcia-Cortes, L. A.;Varona, L.;Altarriba, J.
  15. Journal of Animal Science v.66 Describing interactions in dystocia scores with a threshold model Quass, R. L.;Zhao, Y.;Pollak, E. J.
  16. Bayesian Statistics Ⅳ How many iterations in the Gibbs sampler Raftery, A. E.;Lewis, S. M.
  17. Ph.D. thesis, University of Georgia Studies to Implement Genetic Evaluation for Calving Difficulty in Beef Cattle Ramirez-Valverde, R.
  18. Genetics Selection Evolution v.25 Bayesian anaysis of genetic trend due to selection to beef cattle breeding Sorensen, D.;Wang, C.S.;Jensen, J.;Gianola, D.
  19. Genetics Selection Evolution v.27 Bayesian inference in threshold models using Gibbs sampling Sorensen, D. A.;Andersen, S.;Gianola, D.;Korsgaard, I.
  20. Journal of Animal Science v.77 Threshold-linear versus linear-linear analysis of birth weight and calving ease using an animal model Ⅰ. Variance components estimation Varona, L.;Misztal, I.;Bertrand, J. K.
  21. Genetics Selection Evolution v.20 Bayesian analysis of calving ease scores and birth weights Wang, C. S.;Quaas, R. L.;Pollak, E. J.
  22. Genetics Selection Evolution v.26 Bayesian analysis of mixed linear models via Gibbs sampling with an application to litter size in Iberian pigs Wang, C. S.;Rutledge, J. J.;Gianola, D.
  23. Genetics v.19 An analysis of variability in number of digits in an inbred strain of guinea pigs Wright, S.