1. Statistical Tests for Identification of the Genotype at a Major Locus of Progeny-Tested Sires
- Author
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Bruno Goffinet, Jean-Michel Elsen, and P. Le Roy
- Subjects
Statistics and Probability ,education.field_of_study ,General Immunology and Microbiology ,Applied Mathematics ,Mathematical statistics ,Sire ,Population ,Asymptotic distribution ,Locus (genetics) ,General Medicine ,Major gene ,General Biochemistry, Genetics and Molecular Biology ,Genotype ,Statistics ,General Agricultural and Biological Sciences ,education ,Statistical hypothesis testing ,Mathematics - Abstract
SUMMARY The use of major genes is a component of livestock improvement. This requires identification of the genotypes of reproducers, in particular progeny-tested sires after mating with homozygous females. Two test statistics derived from the nonnested test of Cox (1961, Proceedings of the Fouirth Berkeley Svmposium on Mathematical Statistics and Probability 1, 105-123; 1962, Journal of the Royal Statistical Society, Series B 24, 406-424) are proposed. For both tests, asymptotic normality is proved algebraically and the speed of convergence is studied through simulations. In the cases where a uniformly most powerful (UMP) test exists, the power of one of the tests is close to the power of that UMP test. Finally, the tests are applied to a population of poultry carrying the dwarf gene.
- Published
- 1990
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