A Scope of the Possibilities of Bayesian Inference + MCMC
Bayesian analysis can be applied in all fields of animal production in which statistics is needed. We have seen hitherto how useful Bayesian analysis is for the standard linear model, including mixed models. We have faced common problems like comparison among treatments, regression and covariates, genetic merit prediction, variance components estimation and so on. Now we will try to see some of the possibilities of Bayesian analyses in models that are more complex. It is out of the scope of this book to have an encyclopaedic list of all possible problems that Bayesian analysis can handle. What we will do, however, is to carry out a close examination to some difficult problems and outline their Bayesian solution. We have chosen three examples that have no solution using classical statistics, or for which the classical solution is not straightforward.
Unable to display preview. Download preview PDF.
- Blasco A, Martínez-Álvaro M, García ML, Ibáñez-Escriche N, Argente MJ (2017) Selection for environmental variance of litter size in rabbits. Genet Sel Evol 49:48Google Scholar
- Clark SA, van der Werf J (2013) Genomic best linear unbiased prediction (gBLUP) for the estimation of genomic breeding values. In: Gondro C, van der Werf J, Hayes B (eds) Genome-wide association studies and genomic prediction. Humana Press, New YorkGoogle Scholar
- Fernando RL, Garrick D (2013) Bayesian methods applied to GWAS. In: Gondro C, van der Werf J, Hayes B (eds) Genome-wide association studies and genomic prediction. Humana Press, New YorkGoogle Scholar
- Fernando RL, Habier D, Stricker C, Dekkers JCM, Totir LR (2007) Genomic selection. Acta Agric Scand A 57:192–195Google Scholar
- García ML, Argente MJ, Muelas R, Birlanga V, Blasco A (2012) Effect of divergent selection for residual variance of litter size on health status and welfare. In: 10th World Rabbit Congress, Sharm El-Sheikh, Egypt, 3–6 September 2012, pp 103−106Google Scholar
- Garcia M, David I, Garreau H, Ibanez-Escriche N, Mallard J, Masson JP, Pommeret D, Robert-Granie C, Bodin L (2009) Comparisons of three models for canalising selection or genetic robustness. In: 60th annual meeting of European Association for Animal Production. Spain, BarcelonaGoogle Scholar
- McGrayne SB (2011) The theory that would not die. Yale University Press, New Haven, NJGoogle Scholar
- Tibshirani R (1996) Regression shrinkage and selection via the LASSO. J R Stat Soc B 58:267–288Google Scholar