The effect of ignoring individual heterogeneity in Weibull log-normal sire frailty models

Journal of Animal Science

Volumn 84, Issue 6, 2006, Pages 1338-1350

  Damgaard, L H ^a,b   Korsgaard, I R ^b   Simonsen, J ^c   Dalsgaard, O ^c   Andersen, A H ^c  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

^b DANISH INSTITUTE OF AGRICULTURAL SCIENCES   (Denmark)

^c AARHUS UNIVERSITY   (Denmark)

Author keywords

Genetics; Individual heterogeneity; Survival frailty model

Indexed keywords

ANIMALIA;

EID: 33744906307     PISSN: 00218812     EISSN: None     Source Type: Journal    
DOI: 10.2527/2006.8461338x     Document Type: Article

References (30)

1. Aalen, O., E. Bjertness, and T. Sonju. 1995. Analysis of dependent survival data applied to lifetimes of amalgam fillings. Stat. Med. 14:1819-1829.
2. Andersen, A. H., I. R. Korsgaard, and J. Jensen. 2000. Identiflability of parameters in and equivalence of animal and sire models for Gaussian and threshold characters, traits following a Poisson mixed model and survival traits. Research reports 417:1-36. Dep. Theor. Stat., Univ., Aahus, Denmark.
3. Bulmer, M. G. 1980. The mathematical theory of quantitative genetics. Clarendon Press, Oxford, England.
4. Damgaard, L. H., I. R. Korsgaard, J. Simonsen, O. Dalsgaard, and A. H. Andersen. 2003. Genetic versus non-genetic Weibull log-normal sire frailty models: A simulation study. Proc. 30th Interbull Tech. Workshop, Beltsville, MD 30:35-43.
5. Ducrocq, V., and G. Casella. 1996. A Bayesian analysis of mixed survival models. Genet. Sel. Evol. 28:505-529.
6. Ducrocq, V., and J. Sölkner. 1998. "The Survival Kit V3.0", a package for large analyses of survival data. Proc. 6th World Congr. Genet. Appl. Livest. Prod., Armidale, Australia 27:447-450.
7. Ducrocq, V. 2001. A two-step procedure to get animal model solutions in Weibull survival models used for genetic evaluations on length of productive life. Proc. 27th Interbull Meet. Budapest, Hungary 27:147-151.
8. Fisher, B. A. 1918. The correlation between relatives on the supposition of Mendelian I inheritance. Trans. Royal Soc. Edinb. 52:399-433.
9. Foulley, D. S., D. Gianola, and S. Im. 1987. Genetic evaluation of traits distributed as Poisson-binomial with reference to reproductive characters. Theor. Appl. Genet. 73:870-877.
10. Gelfand, A. E., and A. F. M. Smith. 1990. Sampling based approaches to calculating marginal densities. J. Am. Stat. Assoc. 85:398-409.
11. Gelman, A., J. B. Carlin, H. S. Stern, and D. B. Rubin. 1995. Bayesian Data Analysis. Chapman & Hall, Boca Raton, FL.
12. Gilks, W. R., and P. Wild. 1992. Adaptive rejection sampling for Gibbs sampling. Appl. Statist. 41:337-348.
13. Henderson, R., and P. Oman. 1999. Effect of frailty on marginal regression estimates in survival analysis. J. R. Stat. Soc. B 61:367-379.
14. Hougaard, P. 1986. Survival models for heterogeneous populations derived from stable distributions. Biometrika 73:387-396.
15. Hougaard, P. 2000. Analysis of multivariate survival data. Springer, New York, NY.
16. Hougaard, P., B. Harvald, and N. V. Holm. 1992. Measuring the similarities between the lifetimes of adult Danish twins born between 1881-1931. J. Am. Stat. Assoc. 87:17-25.
17. Hougaard, P., P. Myglegaard, and K. Borch-Johnsen. 1994. Heterogeneity models of disease susceptibility, with application to diabetic nephropathy. Biometrics 50:1178-1188.
18. Kalbfleisch, J. D., and R. L. Prentice. 1980. The statistical analysis of failure time data. John Wiley and Sons, New York, NY.
19. Keiding, N., and P. K. Andersen. 1997. The role of frailty models and accelerated failure time models in describing heterogeneity due to omitted covariates. Stat. Med. 16:215-224.
20. Korsgaard, I. R., A. H. Andersen, and J. Jensen. 2000. On different models, on heritability, reliability and related quantities of survival traits. Page 80 in Animal Genetics. EAAP Publ. No. 51. Hague, The Netherlands.
21. Korsgaard, I. R., P. Madsen, and J. Jensen. 1998. Bayesian inference in the semi-parametric log normal frailty model using Gibbs sampling. Genet. Sel. Evol. 30:241-256.
22. Manton, K. G., E. Stallard, and J. W. Vaupel. 1981. Methods for comparing the mortality experience of heterogeneous populations. Demography 18:389-410.
23. Meuwissen, T. H. E., R. F. Veerkamp, B. Engel, and S. Brotherstone. 2002. Single and multitrait estimates of breeding values for survival using sire and animal models. Anim. Sci. 75:15-24.
24. Pickles, A., and R. Crouchley. 1994. Generalizations and applications of frailty models for survival and event data. Stat. Meth. Med. Res. 3:263-278.
25. Solomon, P. J. 1984. Effect of misspecification of regression models in the analysis of survival data. Biometrika 71:291-298.
26. Struthers, C. A., and J. D. Kalbfleisch. 1986. Misspecified proportional hazard models. Biometrika 73:363-369.
27. Tempelman, R. J., and D. Gianola. 1996. A mixed effects model for overdispersed count data in animal breeding. Biometrics 52:265-279.
28. VanRaden, P. M., and R. L. Powell. 2002. Properties of international longevity evaluation and correlations with other traits. Proc. 29th Interbull Meet., Interlaken, Switzerland 29:61-65.
29. Vukasinovic, N., J. Moll, and N. Künze. 1999. Genetic evaluation for length of productive life with censored records. J. Dairy Sci. 82:2178-2185.
30. Vaupel, J. W., K. G. Manton, and E. Stallard. 1979. The impact of heterogeneity in individual frailty on the dynamics of mortality. Demography 16:439-454.