Free Access
Issue
Genet. Sel. Evol.
Volume 40, Number 4, July-August 2008
Page(s) 395 - 413
DOI https://doi.org/10.1051/gse:2008007
Published online 17 June 2008
  1. Bulmer M.G., The Mathematical Theory of Quantitative Genetics, Clarendon Press, Oxford, UK, 1980.
  2. Casellas J., Piedrafita J., Bayes factor for testing the genetic background of quantitative threshold traits, J. Anim. Breed. Genet. 123 (2006) 301-306 [CrossRef] [PubMed].
  3. Casellas J., Piedrafita J., Varona L., Bayes factor for testing between different structures of random genetic groups: a case study using weaning weight in Bruna dels Pirineus beef cattle, Genet. Sel. Evol. 39 (2007) 39-53 [CrossRef] [PubMed] [EDP Sciences].
  4. Chang Y.-M., Gianola D., Heringstad B., Klemetsdal G., A comparison between multivariate slash, Student's t and probit threshold models for analysis of clinical mastitis in first lactation cows, J. Anim. Breed. Genet. 123 (2006) 290-300 [CrossRef] [PubMed].
  5. García-Cortés L.A., Cabrillo C., Moreno C., Varona L., Hypothesis testing for the background of quantitative traits, Genet. Sel. Evol. 33 (2001) 3-16 [CrossRef] [PubMed] [EDP Sciences].
  6. Gelfand A., Dey D.K., Bayesian model choice: asymptotics and exact calculations, J. R. Stat. Soc. B Biol. Sci. 56 (1994) 501-514.
  7. Gelfand A., Smith A.F.M., Sampling based approaches to calculating marginal densities, J. Am. Stat. Assoc. 85 (1990) 398-409 [CrossRef].
  8. Hastings W.K., Monte Carlo sampling methods using Markov chains and their applications, Biometrika 57 (1970) 97-109 [CrossRef].
  9. Henderson C.R., Sire evaluation and genetic trends, in: Proc. Anim. Breed. Genet. Symp. in Honor of Dr. Jay L. Lush, ASAS and ADSA, Champaign, IL, USA, 1973.
  10. Hovernier R., Kanis E., van Asseldonk T., Westerink N.G., Genetic parameters of pig meat quality traits in a halothane negative population, Livest. Prod. Sci. 32 (1992) 309-321 [CrossRef].
  11. Jamrozik J., Strandén I., Schaeffer L.R., Random regression test-day models with residuals following a Student's-t distribution, J. Dairy Sci. 87 (2004) 699-705 [PubMed].
  12. Jeffreys H., Theory of Probability, 3rd edn., Clarendon Press, Oxford, UK, 1961.
  13. Kass R.E., Raftery A.E., Bayes factors, J. Am. Stat. Assoc. 90 (1995) 773-795 [CrossRef].
  14. Kuhn M.T., Boettcher P.J., Freeman A.E., Potential biases in predicted transmitting abilities of females from preferential treatment, J. Dairy Sci. 77 (1994) 2428-2437.
  15. Kuhn M.T., Freeman A.E., Biases in predicted transmitting abilities of sires when daughters receive preferential treatment, J. Dairy Sci. 78 (1995) 2067-2072.
  16. Lange K.L., Little R.J.A., Taylor J.M.G., Robust statistical modelling using a t distribution, J. Am. Stat. Sci. 84 (1989) 881-896.
  17. Noguera J.L., Varona L., Babot D., Estany J., Multivariate analysis of litter size for multiple parities with production traits in pig: I. Bayesian variance component estimation, J. Anim. Sci. 80 (2002) 2540-2547 [PubMed].
  18. Quintanilla R., Varona L., Noguera J.L., Testing genetic determinism in rate of hoof growth in pigs using Bayes factors, Livest. Sci. 105 (2006) 50-56 [CrossRef].
  19. Raftery A.E., Lewis S.M., How many iterations in the Gibbs sampler?, in: Bernardo J.M., Berger J.O., Dawid A.P., Smith A.F.M. (Eds.), Bayesian Statistics IV, Oxford University Press, Oxford, UK, 1992, pp. 763-774.
  20. Spiegelhalter D.J., Best N.G., Carlin B.P., Vanderlinde A., Bayesian measures of model complexity and fit (with discussion), J. R. Stat. Soc. B 64 (2002) 583-639 [CrossRef].
  21. Strandén I., Gianola D., Mixed effects linear models with t-distributions for quantitative genetic analysis: a Bayesian approach, Genet. Sel. Evol. 31 (1999) 25-42 [CrossRef] [EDP Sciences].
  22. Varona L., Aplicaciones del muestreo de Gibbs en modelos de genética cuantitativa: Análisis de un caso de heterogeneidad de varianzas, Ph.D. thesis, Universidad de Zaragoza, Zaragoza, Spain, 1994.
  23. Varona L., García-Cortés L.A., Pérez-Enciso M., Bayes factors for detection of quantitative trait loci, Genet. Sel. Evol. 33 (2001) 133-152 [CrossRef] [PubMed] [EDP Sciences].
  24. Varona L., Gómez-Raya L., Rauw W.M., Clop A., Ovilo C., Noguera J.L., Derivation of a Bayes factor to distinguish between linked or pleiotropic quantitative trait loci, Genetics 166 (2004) 1025-1035 [CrossRef] [PubMed].
  25. Verdinelli I., Wasserman L., Computing Bayes factors using a generalization of the Savage-Dickey density ratio, J. Am. Stat. Assoc. 90 (1995) 614-618 [CrossRef].
  26. Wang C.S., Rutledge J.J., Gianola D., Bayesian analysis of mixed linear models via Gibbs sampling with an application to litter size in Iberian pigs, Genet. Sel. Evol. 26 (1994) 91-115 [CrossRef] [EDP Sciences].