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Assessing the Correlation Structure in Cow Udder Quarter Infection Times Through Extensions of the Correlated Frailty Model

Author

Listed:
  • Estelle Kuhn

    (MaIAGE, INRA, Domaine de Vilvert)

  • Klara Goethals

    (Ghent University)

  • Charles El-Nouty

    (99 avenue Jean-Baptiste Clément)

  • Luc Duchateau

    (Ghent University)

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.

Suggested Citation

  • Estelle Kuhn & Klara Goethals & Charles El-Nouty & 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, Springer;The International Biometric Society;American Statistical Association, vol. 21(4), pages 601-618, December.
    • Handle: RePEc:spr:jagbes:v:21:y:2016:i:4:d:10.1007_s13253-016-0255-4
    DOI: 10.1007/s13253-016-0255-4
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    References listed on IDEAS

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    1. James Vaupel & Kenneth Manton & Eric Stallard, 1979. "The impact of heterogeneity in individual frailty on the dynamics of mortality," Demography, Springer;Population Association of America (PAA), vol. 16(3), pages 439-454, August.
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