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Methods of variance component estimation

Author

Listed:
  • D. Rasch

    (Biometric Unit, Research Institute of Animal Production, Prague-Uhříněves, Czech Republic)

  • O. Mašata

    (Biometric Unit, Research Institute of Animal Production, Prague-Uhříněves, Czech Republic)

Abstract

Estimation of variance components is a method often used in population genetics and applied in animal breeding. Even experienced population geneticists nowadays feel lost if confronted with the huge set of different methods of variance component estimation. Especially because there exists no uniformly best method, a decision which method should be used is often difficult to take. This paper gives a complete overview of methods existing in the simplest case of a one-way lay-out and demonstrates some of them by a numerical example for which the true situation is known. Of course, the one-way lay-out is of limited practical interest but can best be used to explain animal scientists the basic principles of the methods. These basic principles are principally also valid for higher classifications. Advantages and disadvantages of the methods are discussed. The symbols used are the standard biometric symbols as given in Rasch et al. (1994). We can say that all the methods offered by SPSS can be recommended.

Suggested Citation

  • D. Rasch & O. Mašata, 2006. "Methods of variance component estimation," Czech Journal of Animal Science, Czech Academy of Agricultural Sciences, vol. 51(6), pages 227-235.
    • Handle: RePEc:caa:jnlcjs:v:51:y:2006:i:6:id:3933-cjas
    DOI: 10.17221/3933-CJAS
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    References listed on IDEAS

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    1. Rao, C. Radhakrishna, 1971. "Minimum variance quadratic unbiased estimation of variance components," Journal of Multivariate Analysis, Elsevier, vol. 1(4), pages 445-456, December.
    2. Rao, C. Radhakrishna, 1971. "Estimation of variance and covariance components--MINQUE theory," Journal of Multivariate Analysis, Elsevier, vol. 1(3), pages 257-275, September.
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    1. J. Bouška & M. Vacek & M. Štípková & A. Němec, 2006. "The relationship between linear type traits and stayability of Czech Fleckvieh cows," Czech Journal of Animal Science, Czech Academy of Agricultural Sciences, vol. 51(7), pages 299-304.
    2. F. Jílek & P. Pytloun & M. Kubešová & M. Štípková & J. Bouška & J. Volek & J. Frelich & R. Rajmon, 2008. "Relationships among body condition score, milk yield and reproduction in Czech Fleckvieh cows," Czech Journal of Animal Science, Czech Academy of Agricultural Sciences, vol. 53(9), pages 357-367.
    3. R. Rajmon & J. Šichtař & L. Vostrý & D. Řehák, 2012. "Ovarian follicle growth dynamics during the postpartum period in Holstein cows and effects of contemporary cyst occurrence," Czech Journal of Animal Science, Czech Academy of Agricultural Sciences, vol. 57(12), pages 562-572.
    4. L. Vostrý & J. Přibyl & V. Jakubec & Z. Veselá & I. Majzlík, 2008. "Selection of a suitable definition of environment for the estimation of genotype × environment interaction in the weaning weight of beef cattle," Czech Journal of Animal Science, Czech Academy of Agricultural Sciences, vol. 53(10), pages 407-417.
    5. J. Přibyl & H. Krejčová & J. Přibylova & I. Misztal & S. Tsuruta & N. Mielenz, 2008. "Models for evaluation of growth of performance tested bulls," Czech Journal of Animal Science, Czech Academy of Agricultural Sciences, vol. 53(2), pages 45-54.
    6. M. Vacek & M. Štípková & E. Němcová & J. Bouška, 2006. "Relationships between conformation traits and longevity of Holstein cows in the Czech Republic," Czech Journal of Animal Science, Czech Academy of Agricultural Sciences, vol. 51(8), pages 327-333.
    7. J. Bouška & M. Vacek & M. Štípková & E. Němcová & P. Pytloun, 2006. "The relationship between conformations of dams and daughters in Czech Holsteins," Czech Journal of Animal Science, Czech Academy of Agricultural Sciences, vol. 51(6), pages 236-240.
    8. M. Vacek & L. Stádník & M. Štípková, 2007. "Relationships between the incidence of health disorders and the reproduction traits of Holstein cows in the Czech Republic," Czech Journal of Animal Science, Czech Academy of Agricultural Sciences, vol. 52(8), pages 227-235.
    9. J. Přibyl & H. Krejčová & J. Přibylová & I. Misztal & J. Bohmanová & M. Štípková, 2007. "Trajectory of body weight of performance tested dual-purpose bulls," Czech Journal of Animal Science, Czech Academy of Agricultural Sciences, vol. 52(10), pages 315-324.
    10. V. Jakubec & M. Rejfková & J. Volenec & I. Majzlík & L. Vostrý, 2007. "Analysis of linear description of type traits in the varieties and studs of the Old Kladrub horse," Czech Journal of Animal Science, Czech Academy of Agricultural Sciences, vol. 52(9), pages 299-307.

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