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Best Linear Unbiased Estimation and Prediction under a Selection Model
Abstract
Mixed linear models are assumed in most animal breeding applications. Convenient methods for computing BLUE of the estimable linear functions of the fixed elements of the model and for computing best linear unbiased predictions of the random elements of the model have been available. Most data available to animal breeders, however, do not meet the usual requirements of random sampling, the problem being that the data arise either from selection experiments or from breeders' herds which are undergoing selection. Consequently, the usual methods are likely to yield biased estimates and predictions. Methods for dealing with such data are presented in this paper.
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Cited by
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Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems
Harville, D. A. (1977) · Journal of the American Statistical Association · doi:10.1080/01621459.1977.10480998 · Cited by 2,667
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Horváth, I., Hunt, J., & Barnes, P. J. (2005) · European Respiratory Journal · doi:10.1183/09031936.05.00029705 · Cited by 1,284
Advantages and pitfalls in the application of mixed-model association methods
Yang, J., Zaitlen, N. A., Goddard, M. E., Visscher, P. M., & Price, A. L. (2014) · Nature Genetics · doi:10.1038/ng.2876 · Cited by 981
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Myles, S., Peiffer, J., Brown, P. J., Ersoz, E. S., Zhang, Z., Costich, D. E., & Buckler, E. S. (2009) · The Plant Cell · doi:10.1105/tpc.109.068437 · Cited by 857
Metadata
- Authors
- Henderson, C. R.
- Venue
- Biometrics
- Publisher
- JSTOR
- Published
- 1975-06
- Volume
- 31
- Issue
- 2
- Pages
- 423
- ISSN
- 0006-341X (ISSN-L)
- OpenAlex
- W4293258550
- Cited by
- 2,497
- References
- 0
- FWCI
- 5.04
- Type
- journal article
- Language
- en
- Open access
- closed
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