Variance component estimation in animal breeding: A review

Journal of Animal Breeding and Genetics

Volumn 115, Issue 4, 1998, Pages 247-265

  Hofer, A ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18144365189     PISSN: 09312668     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1439-0388.1998.tb00347.x     Document Type: Article

References (22)

1. BOLDMAN, K. G.; VAN KLECK, L. D., 1991: Derivative-free restricted maximum likelihood estimation in animal models with a sparse matrix solver. J. Dairy. Sci. 74: 4337-4343.
2. CANTET, R. I. C.; FERNANDO, R. L.; GIANOLA, D., 1992: Bayesian inference about dispersion parameters of univariate mixed models with maternal effects: theoretical considerations. Genet. Sel. Evol. 24: 107-135.
3. CASELLA, G.; BERGER, R. L., 1990: Statistical Inference. Wadsworth & Brooks/Cole, Pacific Grove, CA.
4. CHU, E.; GEORGE, A.; LIU, J.; NG, E., 1984: SPARSPAK: Waterloo sparse matrix package user's guide for SPARSPAK-A. Technical Report CS-84-36, Department Computer Science, University Waterloo, Ont., Canada.
5. CORBEIL, R. R.; SEARLE, S. R., 1976a: Restricted maximum likelihood (REML) estimation of variance components in the mixed model. Technometrics 18: 31-38.
6. _;_ 1976b: A comparison of variance component estimation. Biometrics 32: 779-791.
7. COWLES, M. K.; CARLIN, B. P., 1996: Markov Chain Monte Carlo convergence diagnostics: a comparative review. J. Am. Stat. Assoc. 91: 883-904.
8. DEMPSTER, A. P.; LAIRD, N. M.; RUBIN, D. B., 1977: Maximum likelihood from incomplete data via the EM algorithm. J. Royal Stat. Soc., Series B 39: 1-38.
9. DUCOS, A.; BIDANEL, J. P.; DUCROCQ, V.; BOICHARD, D.; GROENEVELD, E., 1993: Multivariate restricted maximum likelihood estimation of genetic parameters for growth, carcass and meat quality traits in French Large White and French Landrace pigs. Genet. Sel. Evol. 25: 475-493.
10. DUCROCQ, V., 1990: Estimation of genetic parameters arising in nonlinear models. In: Proc. 4th World Congress on Genetics Applied to Livestock Production, Edinburgh, Vol. 13. pp. 419-428.
11. _, 1993: Genetic parameters for type traits in the French Holstein breed based on a multiple-trait animal model. Livest. Prod. Sci. 36: 143-156.
12. _; CHAPUIS, H., 1997: Generalizing the use of the canonical transformation for the solution of multivariate mixed model equations. Genet. Sel. Evol. 29: 205-224.
13. FERNANDO, R. L., GIANOLA, D., 1986: Optimal properties of the conditional mean as a selection criterion. Theor. Appl. Genet. 72: 822-825.
14. _;_, 1990: Statistical inferences in populations undergoing selection or non-random mating. In: GIANOLA, D.; HAMMOND, K. (eds), Advances in Statistical Methods for the Genetic Improvement of Livestock. Springer-Verlag, Berlin, pp. 437-453.
15. FISHER, R. A., 1922: On the mathematical foundations of theoretical statistics. Phil. Trans. Roy. Soc. London, Series A 222: 309-368.
16. _, 1925: Statistical methods for research workers. Oliver and Boyd, Edinburgh.
17. FOULLEY, J. L., 1993: A simple argument showing how to derive restricted maximum likelihood. J. Dairy Sci. 76: 2320-2324.
18. GARCÍA-CORTÉS, L. A.; MORENO, C.; VARONA L.; ALTARRIBA, J., 1992: Variance component estimation by resampling. J. Anim. Breed. Genet. 109: 358-363.
19. _;_;_;_, 1995: Estimation of prediction-error variances by resampling. J. Anim. Breed. Genet. 112: 176-182.
20. GELFAND, A. E., 1996: Model determination using sampling-based methods. In: GILKS, W. R.; RICHARDSON, S.; SPIEGELHALTER, D. J. (eds.), Markov chain Monte Carlo in Practice. Chapman & Hall, London, pp. 145-161.
21. _; SMITH, A. F. M., 1990: Sampling-based approaches to calculating marginal densities. J. Am. Stat. Assoc. 85: 398-409.
22. WANG, C. S.; RUTLEDGE, J. J.; GINOLA, D., 1994: Bayesian analysis of mixed linear models via Gibbs sampling with an application to litter size in Iberian pigs. Genet. Sel. Evol. 26: 91-115.