| Автор | Jensen, Just |
| Автор | Wang, Cunchan S. |
| Автор | Sorensen, Daniel A. |
| Автор | Gianola, Daniel |
| Дата выпуска | 1994 |
| dc.description | AbstractA method for analyzing traits influenced by both maternal and direct genetic effects is presented in a Bayesian setting. A Bayesian analysis requires full marginalization of the joint posterior density. The necessary multidimensional integrations were carried out using the Gibbs sampler. This gives the possibility of exact marginal inference on (co)variance components of interest as opposed to results of REML analysis, where only joint inferences are possible. The method is illustrated by an example on growth in sheep. |
| Формат | application.pdf |
| Издатель | Taylor & Francis Group |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Тема | maternal effects |
| Тема | sheep |
| Тема | marginal inference |
| Тема | Bayesian analysis |
| Название | Bayesian Inference on Variance and Covariance Components for Traits Influenced by Maternal and Direct Genetic Effects, Using the Gibbs Sampler |
| Тип | research-article |
| DOI | 10.1080/09064709409410898 |
| Electronic ISSN | 1651-1972 |
| Print ISSN | 0906-4702 |
| Журнал | Acta Agriculturae Scandinavica, Section A – Animal Science |
| Том | 44 |
| Первая страница | 193 |
| Последняя страница | 201 |
| Аффилиация | Jensen, Just; National Institute of Animal Science, Research Centre Foulum |
| Аффилиация | Wang, Cunchan S.; Department of Animal Science, Cornell University |
| Аффилиация | Sorensen, Daniel A.; National Institute of Animal Science, Research Centre Foulum |
| Аффилиация | Gianola, Daniel; Department of Meat and Animal Science, University of Wisconsin-Madison |
| Выпуск | 4 |
| Библиографическая ссылка | Bertrand, J. K. and Benyshek, L. L. 1987. Variance and covariance estimates for maternally influenced growth traits. J. Anim. Sci., 64: 728–734. |
| Библиографическая ссылка | Besag, J., York, J. and Mollie, A. 1991. Spatial statistics and Bayesian computation (with discussion). J. R. Stat. Soc., Sect. B, 55: 25–37. |
| Библиографическая ссылка | Box, G. E. P. and Tiao, C. C. 1973. Baysian Inference in Statistical Analysis, 588Reading: Addison Wesley. |
| Библиографическая ссылка | Cantet, R. J. C., Gianola, D., Misztal, I. and Fernando, R. L. 1993. Estimates of dispersion parameters and of genetic and environmental trends for weaning weight in Angus cattle using a maternal model with genetic grouping. Livest. Prod. Sci., 34: 203–212. |
| Библиографическая ссылка | Casella, G. and George, E. I. 1992. Explaining the Gibbs Sampler. The American Statist, 46(3): 167–174. |
| Библиографическая ссылка | Dempfle, L. 1977. Relation entre BLUP (Best Linear Unbiased Prediction) et estimateurs Baysiens. Ann. Genet. Sel. Anim., 9: 27–32. |
| Библиографическая ссылка | Gelfand, A. E., Hills, S. I., Racine-Poon, A. and Smith, A. F. M. 1990. Illustration of Bayesian inference in normal data models using Gibbs Sampling. J. Am. Stat. Assoc., 85: 972–985. |
| Библиографическая ссылка | Gelfand, A. E. and Smith, A. F. M. 1990. Sampling-based approaches to calculating marginal densities. J. Am. Stat. Assoc., 85: 398–409. |
| Библиографическая ссылка | Geyer, C. J. 1992. Practical Markov Chain Monte Carlo. Statist. Science, 7: 467–511. |
| Библиографическая ссылка | Gianola, D. and Foulley, J. L. 1990. Variance estimation from integrated likelihoods (VEIL). Genet. Sel. Evol., 22: 403–417. |
| Библиографическая ссылка | Gianola, D. and Fernando, R. F. 1986. Bayesian methods in animal breeding. J. Anim. Sci., 63: 217–244. |
| Библиографическая ссылка | Graser, H. U., Smith, S. P. and Tier, B. 1987. A derivative-free approach for estimating variance components in animal models by restricted maximum likelihood. J. Anim. Sci., 64: 1362–1370. |
| Библиографическая ссылка | Harville, D. A. 1974. Baysian inference for variance components using only error contrasts. Biometrika, 61: 383–385. |
| Библиографическая ссылка | Harville, D. A. and Callanan, T. P. 1990. “Computational aspects of likelihood-based inference for variance components”. In Advances in Statistical Methods for Genetic Improvement of Livestock, Edited by: Gianola, D. and Hammon, K. Berlin: Springer Verlag. |
| Библиографическая ссылка | Henderson, C. R. 1973. Sire evaluation and genetic trends. Proc. Animal Breeding and Genetics Symp. 1973, Champaign, USA. in Honour of J. L. Lush, ASAS & ADSA |
| Библиографическая ссылка | Henderson, C. R. 1984. Applications of Linear Models in Animal Breeding, 462Guelph, , Canada: Guelph Univ. Press. |
| Библиографическая ссылка | Jensen, J. and Madsen, P. 1992. A user's guide to DMU. A package for analyzing multivariate mixed models, 17Denmark: The National Institute of Animal Science. Mimeo |
| Библиографическая ссылка | Lindley, D. V. and Smith, A. F. M. 1972. Bayes estimates for the linear model. J. R. Stat. Soc., Sect. B, 34: 1–41. |
| Библиографическая ссылка | Meyer, K. 1986. Restricted maximum likelihood to estimate genetic parameters. In practice. Proc. 3rd World Congress of Genetics Applied to Livestock Production, NE. 1986, USA. Vol. XII, pp.454–459. |
| Библиографическая ссылка | Meyer, K. 1989. Restricted maximum likelihood to estimate variance components for animal models with several random effects using a derivative-free algorithm. Genet. Sel. Evol., 21: 317–340. |
| Библиографическая ссылка | Meyer, K. 1991. Estimating variances and covariances for multivariate animal models by restricted maximum likelihood. Genet. Sel. Evol., 23: 67–83. |
| Библиографическая ссылка | Meyer, K. and Hill, W. G. 1992. Approximation of sampling variances and confidence intervals for maximum likelihood estimates of variance components. J. Anim. Breed. Genet., 109: 264–280. |
| Библиографическая ссылка | Morrison, D. F. 1976. Multivariate Statistical Methods, New York: McGraw-Hill. |
| Библиографическая ссылка | Odell, P. L. and Feiveson, A. H. 1966. A numerical procedure to generate a sample covariance matrix. J. Am. Stat. Assoc., 61: 198–203. |
| Библиографическая ссылка | Patterson, H. D. and Thompson, R. 1971. Recovery of interblock information when block sizes are unequal. Biometrika, 58: 545–554. |
| Библиографическая ссылка | Press, S. J. 1989. Bayesian Statistics: Principles, Models and Applications, 262New York, , USA: John Wiley. |
| Библиографическая ссылка | Scott, D. W. 1992. Multivariate Density Estimation: Theory, Applications, and Visualization, 317New York: John Wiley. |
| Библиографическая ссылка | Searle, S. R. 1982. Matrix Algebra Useful for Statistics, 438New York: John Wiley. |
| Библиографическая ссылка | Smith, S. P. and Graser, H. U. 1986. Estimating variance components in a class of mixed models by restricted maximum likelihood. J. Dairy Sci., 69: 1156–1165. |
| Библиографическая ссылка | Sorensen, D. A., Wang, C. S., Jensen, J. and Gianola, D. 1994. Baysian analysis of genetic trend due to selection using Gibbs sampling. Gen. Sel. Evol., (Accepted) |
| Библиографическая ссылка | Southwood, O. I. and Kennedy, B. W. 1990. Estimation of direct & maternal genetic variance for litter size in Canadian Yorkshire & Landrace swine using an animal model. J. Anim. Sci., 68: 1841–1847. |
| Библиографическая ссылка | Van Vleck, L. D. 1978. A genetic model involving fetal effects on traits of the dam. Biometrics, 34: 123–127. |
| Библиографическая ссылка | Wang, C. S., Rutledge, J. J. and Gianola, D. 1993. Experiments in variance component estimation in a “sire” model using Gibbs sampler. Genet. Sel. Evol., 25: 41–62. |
| Библиографическая ссылка | Willham, R. L. 1963. The covariance between relatives for characters composed of components contributed by related individuals. Biometrics, 19: 18 |
| Библиографическая ссылка | Zeger, S. L. and Karim, M. R. 1991. Generalized linear models with random effects: A Gibbs sampling approach. J. Am. Stat. Assoc., 86(413): 79–86. |
