Bayesian estimation of parameters of a structural model for genetic covariances between milk yield in five regions of the United States

Journal of Dairy Science

Volumn 86, Issue 5, 2003, Pages 1837-1844

  Rekaya, R ^a   Weigel, K A ^b   Gianola, D ^b  

^a UNIVERSITY OF GEORGIA   (United States)

^b UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

Bayesian method; Covariance component; Genotype x environment interaction; Structural model

Indexed keywords

MAMMALIA;

ANALYSIS OF VARIANCE; ANIMAL; ARTICLE; BAYES THEOREM; BIOLOGICAL MODEL; CATTLE; COMPARATIVE STUDY; FEMALE; GENETIC VARIABILITY; GENETICS; LACTATION; MATHEMATICS; PHYSIOLOGY; QUANTITATIVE TRAIT; SENSITIVITY AND SPECIFICITY; STATISTICAL MODEL; UNITED STATES;

ANALYSIS OF VARIANCE; ANIMALS; BAYES THEOREM; CATTLE; FEMALE; LACTATION; MATHEMATICS; MODELS, GENETIC; MODELS, STATISTICAL; QUANTITATIVE TRAIT, HERITABLE; SENSITIVITY AND SPECIFICITY; UNITED STATES; VARIATION (GENETICS);

EID: 0042308544     PISSN: 00220302     EISSN: None     Source Type: Journal    
DOI: 10.3168/jds.S0022-0302(03)73770-9     Document Type: Article

References (13)

1. Carlin, B. P., and T. A. Louis. 1996. Bayes and Empirical Bayes Methods for Data Analysis. Chapman and Hall, London.
2. Foulley, J. L., D. Gianola, M. San Cristobal, and S. Im. 1990. A method for assessing extent and sources of heterogeneity of residual variances in mixed linear models. J. Dairy Sci. 73:1612-1624.
3. Foulley, J. L., M. San Cristobal, D. Gianola, and S. Im. 1992. Marginal likelihood and Bayesian approaches to the analysis of heterogeneous residual variances in mixed linear Gaussian models. Comput. Statist, Data Analysis 13:1-15.
4. Gilks, W. R. 1992. Derivative-free adaptive rejection sampling for Gibbs sampling. Pages 169-194 in Bayesian Statistics 4, J. M. Bernardo, J. O. Berger, A. D. Dawid and A. F. M. Smith, ed. Clarendon Press, Oxford, UK.
5. Hastings, W. K. 1970. Monte Carlo sampling methods using Markov chains and their applications. Biometrika 57:97-109.
6. Metropolis, N., A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller. 1953. Equations of state calculations by fast computing machines. J. Chem. Physics 21:1087-1091.
7. Rekaya, R. 1997. Analisis Bayesiano de datos de produccion en los dias del control para la seleccion de caracteres lecheros. Ph.D. Universidad Politecnica de Madrid, Escuela Tecnica Superior de Ingenieros Agronomos. Madrid, Spain.
8. Searle, S. R. 1971. Linear Models. Wiley, New York, NY.
9. Spiegelhalter, D. J, N. G. Best, and B. P. Carlin. 1998. Bayesian deviance, the effective number of parameters and the complexity of arbitrarily complex models. Technical Report, Medical Research Council, Biostatistics Unit, Cambridge, UK.
10. Varona, L., C. Moreno, L. A. Garcia Cortes, and J. Altarriba. 1994. Estimacion multi-caracter de componentes de varianza y covarianza en vacuno lechero mediante muestreo de Gibbs. Rev. Port. Zootec. 1:185-195.
11. Wakefield, J. C., A. F. M. Smith, A. Racine-Poon, and A. E. Gelfand. 1994. Bayesian analysis of linear and nonlinear population models using the Gibbs sampler. Appl. Statist. 43:201-221.
12. Wang, C. S., J. Rutledge, and D. Gianola. 1994. Bayesian analysis of mixed linear models via Gibbs sampling with application to litter size in Iberian pigs. Genet. Select. Evol. 26:91-115.
13. Weigel, K. A., D. Gianola, B. S. Yandell and J. F. Keown. 1993. Identification of factors causing heterogeneous within-herd variance components using a structural model for variances. J. Dairy Sci. 76:1466-1478.