Statistical analysis of somatic cell scores via mixed model methodology for longitudinal data

Animal Research

Volumn 53, Issue 4, 2004, Pages 259-273

  Robert Granié, Christèle ^a   Foulley, Jean Louis ^a   Maza, Elie ^a   Rupp, Rachel ^a  

^a CEMAGREF   (France)

Author keywords

Fractional polynomials; Longitudinal data; Mixed models; Robust estimators; Somatic cell scores

Indexed keywords

EID: 9744274673     PISSN: 16273583     EISSN: None     Source Type: Journal    
DOI: 10.1051/animres:2004016     Document Type: Article

References (36)

1. Ali T.E., Schaeffer L.R., Accounting for covariances among test day milk yields in dairy cows, Can. J. Anim. Sci. 67 (1987) 637-644.
2. Ali A.K.A., Shook G.E., An optimum transformation for somatic cell concentration in milk, J. Dairy Sci. 63 (1980) 487-490.
3. Box G.E.P., Tidwell P.W., Transformation of the independent variables, Technometrics 4 (1962) 531-550.
4. Diggle P.J., An approach to the analysis of repeated measurements, Biometrics 44 (1988) 959-971.
5. Diggle P.J., Liang K.Y., Zeger S.L., Analysis of longitudinal data, Oxford Science Publications, Clarendon Press, Oxford, 1994.
6. Foulley J.L., Gianola D., San Cristobal M., Im S., A method for assessing extent and sources of heterogeneity of residual variances in mixed linear models, J. Dairy Sci. 73 (1990) 1612-1624.
7. Foulley J.L., San Cristobal M., Gianola D., Im S., Marginal likelihood and Bayesian approaches to the analysis of heterogeneous residual variances in mixed linear Gaussian models, Comput. Stat. Data Anal. 13 (1992) 291-305.
8. Foulley J.L., Quaas R.L., Thaon d'Arnoldi C., A Link function approach to heterogeneous variance components, Genet. Sel. Evol. 30 (1998) 27-43.
9. Foulley J.L., Robert-Granié C., Heteroskedastic random coefficient models, 7th World Congress on Genetics Applied to Livestock Production, Montpellier, France, August 19-23, 32 (2002), pp. 157-160.
10. Jaffrezic F., White I.M.S., Thompson R., Hill W.G., A link function approach to model heterogeneity of residual variances over time in lactation curve analysis, J. Dairy Sci. 83 (2000) 1089-1093.
11. Korsgaard I.R., Lovendahl P., An introduction to multiprocess class II mixture models, 7th World Congress on Genetics Applied to Livestock Production, Montpellier, France, August 19-23, 32 (2002), pp. 185-188.
12. Laird N.M., Ware J.H., Random effects models for longitudinal data, Biometrics 38 (1982) 963-974.
13. Liang K.Y., Zeger S.L., Longitudinal data analysis using generalized linear models, Biometrika 73 (1986) 13-22.
14. Littell R.C., Milliken G.A., Stroup W.W., Wolnger R.D., SAS System for Mixed Models, SAS institute Inc., 1996.
15. Longford N.T., Random coefficients models, Clarendon Press, Oxford, 1993.
16. McCullagh P., Neider J.A., Generalized linear models, Chapman and Hall, London, 1989.
17. Mrode R.A., Swanson G.J.T., Genetic and statistical properties of somatic cell count and its suitability as an indirect means of reducing the incidence of mastitis in dairy cattle, Anim. Breed. Abs. 64 (1996) 847-857.
18. Patterson H.D., Thompson R., Recovery of interblock information when block sizes are unequal, Biometrika 58 (1971) 545-554.
19. Petim-Batista F., Foulley J.L., Robert-Granié C., Silvestre A., Colaço J., SCS analysis in Portuguese dairy cows using random coefficients models, 7th World Congress on Genetics Applied to Livestock Production, Montpellier, France, August 19-23, 32 (2002), pp. 227-230.
20. Robert C., Foulley J.L., Ducrocq V., Genetic-variation of traits measured in several environments. I. Estimation and testing of homogeneous genetic and intraclass correlations between environments, Genet. Sel. Evol. 27 (1995) 111-123.
21. Robert C., Foulley J.L., Ducrocq V., Genetic variation of traits measured in several environments. II. Inference on between-environment homogeneity of intraclass correlations, Genet. Sel. Evol. 27 (1995) 125-134.
22. Robert-Granié C., Ducrocq V., Foulley J.L., Heterogeneity of variance for type traits in the Montbeliarde cattle breed, Genet. Sel. Evol. 29 (1997) 545-570.
23. Robert-Granié C., Bonati B., Boichard D., Barbat A., Accounting for variance heterogeneity in French dairy cattle genetic evaluation, Livest. Prod. Sci. 60 (1999) 343-357.
24. es Journées de Statistiques, Nantes, France, 2001.
25. Robert-Granié C., Heude B., Foulley J.L., Modelling the growth curve of Maine-Anjou beef cattle using heteroskedastic random coefficients models, Genet. Sel. Evol. 34 (2002) 423-445.
26. Robert-Granié C., Maza E., Rupp R., Foulley J.L., Use of fractional polynomial for modelling somatic cell scores in dairy cattle, 7th World Congress on Genetics Applied to Livestock Production, Montpellier, France, August 19-23, 32 (2002), pp. 153-156.
27. Rodriguez-Zas S.L., Gianola D., Shook G.E., Evaluation of models for somatic cell score lactation patterns in Holsteins, Livest. Prod. Sci. 67 (2000) 19-30.
28. Rodriguez-Zas S.L., Gianola D., Shook G.E., An approximate Bayesian analysis of somatic cell score curves in Holsteins, Acta Agric. Scand. 50 (2000) 291-299.
29. Royston P., Altman D.G., Regression using fractional polynomials of continuous covariates: parsimonious parametric modelling, Appl. Stat. 43 (1994) 429-467.
30. Rupp R., Boichard D., Genetic parameters for clinical mastitis, somatic cell score, production, udder type traits, and milking ease in first lactation Holsteins, J. Dairy Sci. 82 (1999) 2198-2204.
31. Rupp R., Analyse Génétique de la résistance aux mammites chez les ruminants laitiers, Ph.D. thesis, INA-PG/INRA, 2000.
32. San Cristobal M., Foulley J.L., Manfredi E., Inference about multiplicative heteroskedastic components of variance in a mixed linear Gaussian model with an application to beef cattle breeding, Genet. Sel. Evol. 25 (1993) 3-30.
33. SAS® Institute Inc., Cary NC: SAS® institute Inc., SAS/STAT Software, version 8, 1999.
34. Self S.G., Liang K.Y., Asymptotic properties of maximum likelihood estimation and likelihood ratio tests under nonstandard conditions, J. Am. Stat. Assoc. 82 (1987) 605-610.
35. Stram D.O., Lee J.W., Variance components testing in the longitudinal mixed effects models, Biometrics 50 (1994) 1171-1177.
36. Verbeke G., Molenberghs G., Linear mixed models for longitudinal data, Springer Verlag, New-York, 2000.