A zero-inflated Poisson model for genetic analysis of the number of mastitis cases in Norwegian Red cows

Journal of Dairy Science

Volumn 90, Issue 11, 2007, Pages 5306-5315

  Rodrigues Motta, M ^a   Gianola, D ^a,b   Heringstad, B ^b   Rosa, G J M ^a   Chang, Y M ^a  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

^b NORWEGIAN UNIVERSITY OF LIFE SCIENCES   (Norway)

Author keywords

Bayesian method; Mastitis; Zero inflated data

Indexed keywords

ANIMALIA;

EID: 41449109240     PISSN: 00220302     EISSN: 15253198     Source Type: Journal    
DOI: 10.3168/jds.2006-898     Document Type: Article

References (21)

1. Barnouin, J., S. Bord, S. Bazin, and M. Chassagne. 2005. Dairy management practices associated with incidence rate of clinical mastitis in low somatic cell score herds in France. J. Dairy Sci. 88:3700-3709.
2. Breslow, N. E. 1984. Extra-Poisson variation in log-linear models. Appl. Stat. 33:38-44.
3. Brillinger, D. R. 1986. The natural variability of vital rates and associated statistics (with discussion). Biometrics 42:693-734.
4. Carlén, E., M. del P. Schneider, and E. Strandberg. 2005. Comparison between linear models and survival analysis for genetic evaluation of clinical mastitis in dairy cattle. J. Dairy Sci. 88:797-803.
5. Chang, Y. M., D. Gianola, B. Heringstad, and G. Klemetsdal. 2004. Effects of trait definition on genetic parameter estimates and sire evaluation for clinical mastitis threshold models. Anim. Sci. 79:355-364.
6. Chang, Y. M., D. Gianola, B. Heringstad, and G. Klemetsdal. 2006. A comparison between multivariate slash, Student-i and probit threshold model for analysis of clinical mastitis in first lactation cows. J. Anim. Breed. Genet. 123:290-300.
7. Damgaard, L. H., I. R. Korsgaard, J. Simonsen, O. Dalsgaard, and A. H. Andersen. 2006. The effect of ignoring individual heterogeneity in Weibull log-normal sire frailty models. J. Anim. Sci. 84:1338-1350.
8. Foulley, J. L., 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.
9. Gasqui, P., O. Pons, and J. Coulon. 2000. An individual modeling tool for consecutive clinical mastitis during the same lactation in dairy cows: A method based on a survival model. Vet. Res. 31:583-602.
10. Gelman, A., J. B. Carlin, H. S. Stern, and D. B. Rubin. 2002. Bayesian Data Analysis. 2nd ed. Chapman and Hall, London, UK.
11. Gelman, A., and D. B. Rubin. 1992. Inference from iterative simulation using multiple sequences. Stat. Sci. 7:457-511.
12. Heringstad, B., Y. M. Chang, D. Gianola, and G. Klemetsdal, 2003b. Genetic analysis of longitudinal trajectory of clinical mastitis in first-lactation Norwegian cattle. J. Dairy Sci. 86:2676-2683.
13. Heringstad, B., R. Rekaya, D. Gianola, G. Klemetsdal, and K. A. Weigel. 2003a. Genetic change for clinical mastitis in Norwegian cattle: A threshold model analysis. J. Dairy Sci. 86:369-375.
14. Lambert, D. 1992. Zero-inflated Poisson regression, with an application to defects in manufacturing. Technometrics 34:1-14.
15. Rao, C. R., and I. M. Chakravarti. 1956. Some small sample tests of significance for a Poisson distribution. Biometrics 12:264-282.
16. Schukken, Y. H., F. J. Grommers, D. van de Geer, H. N. Erb, and A. Brand. 1990. Risk factors for clinical mastitis in herds with a low bulk milk somatic cell count. Risk factors for Escherichia coli and Staphylococcus aureus. J. Dairy Sci. 73:3436-3471.
17. Sorensen, D., and R. Waagepetersen. 2003. Normal linear models with genetically structured residual variance heterogeneity: A case study. Genet. Res. 82:207-222.
18. Tempelman, R. J., and D. Gianola. 1996. A mixed effects model for overdispersed count data in animal breeding. Biometrics 52:265-279.
19. van den Broek, J. 1995. A score test for zero inflation in a Poisson distribution. Biometrics 51:738-743.
20. Wang, C. S., J. J. Rutledge, and D. Gianola. 1993. Marginal inferences about variance components in a mixed linear model using Gibbs sampling. Genet. Sel. Evol. 25:41-62.
21. Wang, C. S., J. J. Rutledge, and D. Gianola. 1994. Bayesian analysis of mixed linear models via Gibbs sampling with an application to litter size in Iberian pigs. Genet. Sel. Evol. 26:91-115.