Modeling interval-censored, clustered cow udder quarter infection times through the shared gamma frailty model

Journal of Agricultural, Biological, and Environmental Statistics

Volumn 14, Issue 1, 2009, Pages 1-14

  Goethals, K ^a   Ampe, B ^a   Berkvens, D ^b   Laevens, H ^a   Janssen, Paul ^c   Duchateau, Luc ^a  

^a GHENT UNIVERSITY   (Belgium)

^b INSTITUTE OF TROPICAL MEDICINE   (Belgium)

^c HASSELT UNIVERSITY   (Belgium)

Author keywords

Dairy cow; Interval censoring; Mastitis; Multivariate survival data

Indexed keywords

BACTERIA (MICROORGANISMS); BOS;

EID: 80052685639     PISSN: 10857117     EISSN: 15372693     Source Type: Journal    
DOI: 10.1198/jabes.2009.0001     Document Type: Article

References (19)

1. Adkinson, R. W., Ingawa, K. H., Blouin, D. C., and Nickerson, S. C. (1993), "Distribution of Clinical Mastitis Among Quarters of the Bovine Udder, " Journal of Dairy Science, 76, 3453-3459.
2. Barkema, H. W., Schukken, Y. H., Lam, T. J. G. M., Galligan, D. T., Beiboer, M. L., and Brand, A. (1997), "Estimation of Interdependence Among Quarters of the Bovine UdderWith Subclinical Mastitis and Implications for Analysis, " Journal of Dairy Science, 80, 1592-1599.
3. Bellamy, S. L., Li, Y., Ryan, L. M., Lipsitz, S., Canner, M. J., and Wright, R. (2004), "Analysis of Clustered and Interval Censored Data From a Community-Based Study in Asthma, " Statistics in Medicine, 23, 3607-3621.
4. Collet, D. (1994), Modelling Survival Data in Medical Research, London: Chapman & Hall.
5. Finkelstein, D. M. (1986), "A Proportional Hazards Model for Interval-Censored Failure Time Data, " Biometrics, 42, 845-854.
6. Izumi, S., and Ohtaki, N. (2004), "Aspects of the Armitage-Doll Gamma Frailty Model for Cancer Incidence Data, " Environmetrics, 15, 209-218.
7. Klein, J. P., and Moeschberger, M. L. (2003), Survival Analysis: Techniques for Censored and Truncated Data, New York: Springer.
8. Laevens, H., Deluyker, H., Schukken, Y. H., De Meulemeester, L., Vandermeersch, R., De Muêlenaere, E., and De Kruif, A. (1997), "Influence of Parity and Stage of Lactation on the Somatic Cell Count in Bacteriologically Negative Dairy Cows, " Journal of Dairy Science, 80, 3219-3226.
9. Legrand, C., Ducrocq, V., Janssen, P., Sylvester, R., and Duchateau, L. (2005), "A Bayesian Approach to Jointly Estimate Centre and Treatment by Centre Heterogeneity in a Proportional Hazards Model, " Statistics in Medicine, 24, 3789-3804.
10. Neijenhuis, F., Barkema, H. W., Hogeveen, H., and Noordhuizen, J. P. T. M. (2001), "Relationship Between Teat-End Callosity and Occurrence of Clinical Mastitis, " Journal of Dairy Science, 84, 2664-2672.
11. Oakes, D. (1989), "Bivariate Survival Models Induced by Frailties, " Journal of the American Statistical Association, 84, 487-493.
12. Radke, B. R. (2003), "A Demonstration of Interval-Censored Survival Analysis, " Preventive Veterinary Medicine, 59, 241-256.
13. Rondeau, V., Commenges, D., and Joly, P. (2003), "Maximum Penalized Likelihood Estimation in a Gamma-Frailty Model, " Lifetime Data Analysis, 9, 139-153.
14. Schepers, A. J., Lam, T. J. G. M., Schukken, Y. H., Wilmink, J. B. M., and Hanekamp, W. J. A. (1997), "Estimation of Variance Components for Somatic Cell Counts to Determine Thresholds for Uninfected Quarters, " Journal of Dairy Science, 80, 1833-1840.
15. Seegers, H., Fourichon, C., and Beaudeau, F. (2003), "Production Effects Related to Mastitis and Mastitis Economics in Dairy Cattle Herds, " Veterinary Research, 34, 475-491.
16. Therneau, T. M., and Grambsch, P. M. (2000), Modeling Survival Data: Extending the Cox Model, New York: Springer.
17. Turnbull, B. W. (1976), "Empirical Distribution Function With Arbitrarily Grouped, Censored and Truncated Data, " Journal of the Royal Statistical Society, Ser. B, 38, 290-295.
18. Vecht, U., Wisselink, H. J., and Defize, P. R. (1989), "Dutch National Mastitis Survey-the Effect of Herd and Animal Factors on Somatic-Cell Count, " Netherlands Milk and Dairy Journal, 43, 425-435.
19. Weller, J. I., Saran, A., and Zeliger, Y. (1992), "Genetic and Environmental Relationships Among Somatic-Cell Count, Bacterial Infection, and Clinical Mastitis, " Journal of Dairy Science, 75, 2532-2540.