121
Views
11
CrossRef citations to date
0
Altmetric
Original Articles

Bayesian mixed‐effects model analysis of a censored normal distribution with animal breeding applications

, &
Pages 222-229 | Published online: 12 Nov 2008

References

  • Carriquiry , A. , Gianola , D. and Fernando , R. 1987 . Mixed‐model analysis of a censored normal distribution with reference to animal breeding . Biometrics , 43 : 929 – 939 .
  • Devroye , L. 1986 . Non‐uniform Random Variate Generation , New York : Springer .
  • Ducrocq , V. , Quaas , R. L. , Pollak , E. J. and Casella , G. 1988 . Length of productive life of dairy cows. II. Variance component estimation and sire evaluation . J. Dairy Sci. , 71 : 3071 – 3079 .
  • Ducrocq , V. 1994 . Statistical analysis of length of productive life for dairy cows of the Normande breed . J. Dairy Sci. , 77 : 855 – 866 .
  • Ducrocq , V. and G , Casella . 1996 . A Bayesian analysis of mixed survival models . Gen. Sel. Evol. , 28 : 505 – 529 .
  • Famula , T. R. 1981 . Exponential stayability model with censoring and covariates . J. Dairy Sci. , 64 : 538 – 545 .
  • García‐Cortés , L. A. and Sorensen , D. 1996 . On a multivariate implementation of the Gibbs sampler . Gen. Sel. Evol. , 28 : 121 – 126 .
  • Gelfand , A. E. , Hills , S. E. , 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 .
  • Gelfand , A. E. , Smith , A. F. M. and Lee , T. M. 1992 . Bayesian analysis of constrained parameter and truncated data problems using Gibbs sampling . J. Am. Stat. Assoc. , 87 : 523 – 532 .
  • Gelman , A. , Carlin , J. B. , Stern , H. S. and Rubin , D. B. 1995 . Bayesian Data Analysis , London : Chapman & Hall .
  • Geyer , C. J. 1992 . Practical Markov chain Monte Carlo . Stat. Sci. , 7 : 473 – 511 .
  • Henderson , C. R. 1984 . Applications of Linear Models in Animal Breeding , Canada : University of Guelph .
  • Kalbfleisch , J. D. and Prentice , R. L. 1980 . The statistical analysis of failure time data , New York : John Wiley & Sons .
  • Korsgaard , I. R. , Sorensen , D. A. and Gianola , D. . Multivariate analysis of censored normal, ordered categorical and Gaussian traits using Gibbs sampling and data augmentation . Proceedings of the 6th World Congress of Genetics Applied to Livestock Production . Vol. 25 , pp. 493 – 496 . Armidale, , Australia
  • Pettitt , A. N. 1986 . Censored observations, repeated measures and mixed effects models: an approach using the EM algorithm and normal errors . Biometrika , 73 : 635 – 643 .
  • Schmee , J. and Hahn , G. J. 1979 . A simple method for regression analysis with censored data . Technometrics , 21 : 417 – 432 .
  • Searle , S. R. , Casella , G. and McCulloch , C. E. 1992 . Variance Components , New York : John Wiley .
  • Smith , A. F. M. and Roberts , G. O. 1993 . Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods(with discussion) . J. R. Stat. Soc. B , 55 : 3 – 24 .
  • Smith , S. P. and Allaire , F. R. 1986 . Analysis of failure times measured on dairy cows: theoretical considerations in animal breeding . J. Dairy Sci. , 69 : 217 – 227 .
  • Smith , F. B. and Helms , R. W. 1995 . EM mixed model analysis of data from informatively censored normal distributions . Biometrics , 51 : 425 – 436 .
  • Tanner , M. A. and Wong , W. H. 1987 . The calculation of posterior distributions by data augmentation . J. Am. Stat. Assoc. , 82 : 528 – 540 .
  • Tanner , M. A. 1993 . Tools for Statistical Inference , Springer‐Verlag .
  • Tierney , L. and Kadane , J. B. 1986 . Accurate approximations for posterior moments and marginal densities . J. Am. Stat. Assoc. , 81 : 82 – 86 .
  • Tierney , L. , Kass , R. E. and Kadane , J. B. 1989 . Fully exponential Laplace approximations to expectations and variances of nonpositive functions . J. Am. Stat. Assoc. , 84 : 710 – 716 .
  • VanRaden , P. M. and Klaaskate , E. J. H. 1993 . Genetic evaluation of length of productive life including predicted longevity of live cows . J. Dairy Sci. , 76 : 2758 – 2764 .
  • Wang , C. S. , Rutledge , J. J. and Gianola , D. 1994 . Bayesian analysis of mixed linear models via Gibbs sampling with an application to litter size in Iberian pigs . Gen. Sel. Evol. , 26 : 91 – 115 .
  • Wolynetz , M. S. and Binns , M. R. 1983 . Stayability of dairy cattle: models with censoring and covariates . J. Dariy Sci. , 66 : 935 – 942 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.