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Assessing the correlation structure in cow udder quarter infection times through extensions of the correlated frailty model

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Abstract
The association between infection times of the udder quarters of a dairy cow is essential information for the preventive control of udder infections in a dairy cow herd. Extensions of the correlated frailty model are proposed to investigate and compare different correlation structures among the four udder quarter infection times clustered within a cow. Such complex frailty models can be fitted with the SAEM-MCMC algorithm. It is demonstrated that substantial correlation exists between the udder quarter infection times, with the correlation within front and rear udder quarters being larger than between front and rear udder quarters. This signifies that an infected udder quarter is a risk factor for the other udder quarters, especially when the udder quarter is in the same region, i.e., front or rear.
Keywords
EM ALGORITHM, Correlated frailty model, EM algorithm, Infection time, Mastitis, Maximum likelihood estimate, MCMC method

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Chicago
Kuhn, Estelle, Klara Goethals, Charles El-Nouty, and Luc Duchateau. 2016. “Assessing the Correlation Structure in Cow Udder Quarter Infection Times Through Extensions of the Correlated Frailty Model.” Journal of Agricultural Biological and Environmental Statistics 21 (4): 601–618.
APA
Kuhn, E., Goethals, K., El-Nouty, C., & Duchateau, L. (2016). Assessing the correlation structure in cow udder quarter infection times through extensions of the correlated frailty model. JOURNAL OF AGRICULTURAL BIOLOGICAL AND ENVIRONMENTAL STATISTICS, 21(4), 601–618.
Vancouver
1.
Kuhn E, Goethals K, El-Nouty C, Duchateau L. Assessing the correlation structure in cow udder quarter infection times through extensions of the correlated frailty model. JOURNAL OF AGRICULTURAL BIOLOGICAL AND ENVIRONMENTAL STATISTICS. 2016;21(4):601–18.
MLA
Kuhn, Estelle, Klara Goethals, Charles El-Nouty, et al. “Assessing the Correlation Structure in Cow Udder Quarter Infection Times Through Extensions of the Correlated Frailty Model.” JOURNAL OF AGRICULTURAL BIOLOGICAL AND ENVIRONMENTAL STATISTICS 21.4 (2016): 601–618. Print.
@article{8537996,
  abstract     = {The association between infection times of the udder quarters of a dairy cow is essential information for the preventive control of udder infections in a dairy cow herd. Extensions of the correlated frailty model are proposed to investigate and compare different correlation structures among the four udder quarter infection times clustered within a cow. Such complex frailty models can be fitted with the SAEM-MCMC algorithm. It is demonstrated that substantial correlation exists between the udder quarter infection times, with the correlation within front and rear udder quarters being larger than between front and rear udder quarters. This signifies that an infected udder quarter is a risk factor for the other udder quarters, especially when the udder quarter is in the same region, i.e., front or rear.},
  author       = {Kuhn, Estelle and Goethals, Klara and El-Nouty, Charles and Duchateau, Luc},
  issn         = {1085-7117},
  journal      = {JOURNAL OF AGRICULTURAL BIOLOGICAL AND ENVIRONMENTAL STATISTICS},
  keyword      = {EM ALGORITHM,Correlated frailty model,EM algorithm,Infection time,Mastitis,Maximum likelihood estimate,MCMC method},
  language     = {eng},
  number       = {4},
  pages        = {601--618},
  title        = {Assessing the correlation structure in cow udder quarter infection times through extensions of the correlated frailty model},
  url          = {http://dx.doi.org/10.1007/s13253-016-0255-4},
  volume       = {21},
  year         = {2016},
}

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