Comparison of (co)variance component estimates in control populations of red flour beetle (Tribolium castaneum) using restricted maximum likelihood and Gibbs sampling

Journal of Animal Breeding and Genetics

Volumn 118, Issue 1, 2001, Pages 21-36

  Lin, E C ^a,b   Berger, P J ^a  

^a IOWA STATE UNIVERSITY   (United States)

^b Pig Research Institute Taiwan   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

COLEOPTERA; INSECTA; TRIBOLIUM CASTANEUM;

EID: 0035583570     PISSN: 09312668     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1439-0388.2001.00250.x     Document Type: Review

References (19)

1. BOLDMAN, K. G.; KRIESE, L. A.; VAN VLECK, L. D.; VAN TASSELL, C. P.; KACHMAN, S. D., 1995: A manual for use of MTDFREML. A set of programs to obtain estimates of variances and covariances [draft]. USDA-ARS, Lincoln, NE.
2. GELFAND, A. E.; SMITH A. F. M., 1990: Sampling-based approaches to calculating marginal densities. J. Am. Stat. Assoc. 85: 398-409.
3. GIANOLA, D.; FERNANDO, R. L., 1986: Bayesian methods in animal breeding theory. J. Anim. Sci. 63: 217-244.
4. GIANOLA, D.; FOULLEY, J. L., 1990: Variance estimation from integrated likelihoods (VEIL). Genet. Sci. Evol. 22: 403-417.
5. HARVILLE, D. A., 1974: Bayesian inference for variance components using only error contrasts. Biometrika 61: 383-385.
6. HOBERT, J. P.; CASELLA, G., 1996: The effect of improper priors on Gibbs sampling in hierarchical linear mixed models. Am. Stat. Assoc. 91: 1461-1473.
7. JANSS, L. L. G.; THOMPSON, R.; VAN ARENDONK, J. A. M., 1995: Application of Gibbs sampling for inference in a mixed major gene (polygenic inheritance model in animal populations. Theor. Appl. Genet. 91: 1137-1147.
8. JENSEN, J.; WANG, C. S.; SORENSEN, D. A.; GIANOLA, D., 1994: Bayesian inference on variance and covariance components for traits influenced by maternal and direct genetic effects, using Gibbs sampler. Acta Agric. Scand. Sect. A, Anim. Sci. 44: 193-201.
9. JOHNSON, N. L.; KOTZ, S., 1972: Distributions in Statistics. John Wiley & Sons, New York.
10. LIN, E.-C., 1997: Estimates of genetic parameters from a selection experiment for growth and reproductive success in Tribolium castaneum by different statistical methods. Unpublished PhD, Dissertation. Iowa State University, Ames, IA.
11. SCOTT, D. W., 1992: Multivariate Density Estimation. Theory, Practice, and Visualization. John Wiley & Sons, New York.
12. SORENSEN, D. A.; ANDERSEN, S.; GIANOLA, D.; KORSGAARD, I., 1995: Bayesian inference in threshold models using Gibbs sampling. Genet. Sci. Evol. 27: 229-249.
13. SORENSEN, D. A.; WANG, C. S.; JENSEN, J.; GIANOLA, D., 1994: Bayesian analysis of genetic change due to selection using Gibbs sampling. Genet. Sci. Evol. 26: 333-360.
14. VAN TASSELL, C. P., 1994: The use of Gibbs sampling for variance component estimation with simulated and weaning weight data using animal and maternal effects models. PhD Thesis. Cornell University, Ithaca, NY.
15. VAN TASSELL, C. P.; VAN VLECK, L. D., 1995: A manual for use of MTGSAM. A set of FORTRAN programs to apply Gibbs sampling to animal models for variance component estimation [draft]. USDA-ARS, Washington, DC.
16. VAN TASSELL, C. P.; VAN VLECK, L. D., 1996: Multiple-trait Gibbs sampler for animal models: flexible programs for Bayesian and likelihood-based (co)variance inference. J. Anim. Sci. 74: 2586-2597.
17. WANG, C. S.; RUTLEDGE, J. J.; GIANOLA, D., 1993: Marginal inferences about variance components in a mixed linear model using Gibbs sampling. Genet. Sci. Evol. 25: 41-62.
18. WANG, C. S.; GIANOLA, D.; SORENSEN, D. A.; JENSEN, J.; CHRISTENSEN, A.; RUTLEDGE, J. J., 1994a: Response to selection for litter size in Danish Landrace pigs: a Bayesian analysis. Theor. Appl. Genet. 88: 220-230.
19. WANG, C. S.; RUTLEDGE, J. J.; GIANOLA, D., 1994b: Bayesian analysis of mixed linear models via Gibbs sampling with application to litter size in Iberian pigs. Genet. Sci. Evol. 26: 91-115.