Power of some statistical tests for the detection of major genes in quantitative traits: 1. Tests of variance homogeneity

Bu çalışmada, kantitatif karakterlere etkili major genlerin belirlenmesi bakımından dört farklı familya-içi varyans homojenliği testinin güçleri simülasyonla türetilen veriler kullanılarak değerlendiriüniştir. Veriler, dengeli bir üvey-kardeş familya yapısına göre türetilmiştir. Poligenik kalıtım derecesinin 4 düzeyi (0,2, 0,4, 0,6 ve 0,8), iki farklı kalıtım tarzı (kodominant ve dominant), 4 farklı gen frekansı düzeyi (0,2, 0,4, 0,6 ve 0,8) ve 4 farklı gen etkisi düzeyinin (Gp — 0,5,1,0,2,0 ve 3,0) tüm olası kombinasyonuna dayanan toplam 128 farklı major gen açılımı senaryosu değerlendirilmiştir. Sonuçlar gen etkisindeki yükselme ile birlikte tüm testlerin gücünün arttığını göstermiştir. Dominant etkili genlerin belirlenmesinin kodominant etkili genlerden çok daha kolay olduğu gözlemlenmiştir. Gen etkisinin küçük düzeylerinde (0.5 ve 1

Kantitatif karakterlere etkili major genlerin belirlenmesi bakımından kimi istatistiki testlerin güçleri: 1. Varyans homojenliği testleri

In this study the power of four within-femily variance homogeneity tests (Levene, O'Brien, Brown and Forsythe, and Bartlett test) to detect major genes controlling quantitative traits was evaluated using simulated data. The data were simulated according to a balanced half-sib family structure. One hundred and twenty eight scenario of major gene segregation based on all possible combinations from 4 levels of polygenic heritability (0.2,0.4,0.6 and 0.8), 2 modes of inheritance (additive and dominant), 4 levels of gene frequency (0.2,0.4,0.6 and 0.8) and 4 levels of major gene effect in phenotypic standard deviation (

___

  • Archibald, A.L., Imlah, P. 1985. The halothane sensitivity locus and its linkage relationships. Animal Blood Groups and Biochemical Genetics 16:253-263. Brown, M.B., Forsythe, A.B. 1974. Robust Tests for Equality of Variances. J. Am. Stat. Assoc. 69:364-367.
  • Cockett, N.E., Jackson, S.P., Green, R.D., Shay, T.L., George, M. 1993. Identification of genetic markers for and the location of a gene (callipyge) causing muscle hypertrophy in sheep. Texas Tech Univ. Agric. Sci. Tech. Rep. T-5-327:4-6.
  • Davis, G.H., Shackell, G.H., Kyle, S.E., Farquhar, P.A., McEwan, J.C., Fennessy, P.F. 1988. High prolificacy in screened Romney family line. Proc. Aust. Assn. i Anim. Breed. Genet 7:406^09.
  • Elsen, J.M., Le Roy, P. 1990. Detection of major genes and determination of genotypes. Application to discrete variables. In: 401 World Congr. Genet. Appl. Livest Prod., Vol. XV, Edinburgh, p.37-49.
  • Elsen, J.M., Le Roy, P. 1995. Optimal design for the detection of a major gene segregation in crosses between 2 pure lines. Genet. Sel. Evol. 27:275-285.
  • Falconer, D.S., Mackay, T.F.C. 1996. Introduction to Quantitative Genetics. 4th Ed., Longman Group Ltd, UK.
  • Hanset, R, Michaux, C. 1985a. On the genetic determinism of muscular hypertrophy in the Belgian White and Blue cattle breed. I - Experimental data. Genet. Sel. Evol. 17: 359-368.
  • Hanset, R., Michaux, C. 1985b. On the genetic determinism of muscular hypertrophy in the Belgian White and Blue cattle breed II - Population data. Genet. Sel. Evol. 17: 369-386.
  • Janss, L.L.G., Van Der Werf, J.H.J. 1992. Identification of a major gene in Fi and F2 data when alleles are assumed fixed in the parental lines. Genet, Selec. Evol. v 24: 511-526.
  • Knott, S.A., Haley, C.S., Thompson, R. 1991. Methods of segregation analysis for animal breeding data: parameter estimates. Heredity 68: 313-320.
  • Le Roy, P. 1989. Methodes de Detection de Genes Majeurs Application aux Animaux Domestiques (in France). Ph.D. Thesis. These de I'Universite Paris XI Orsay. 229p.
  • Le Roy, P., Elsen, J.M. 1992. Simple test statistics for major gene detection: a numerical comparison. Theor. Appl. Genet. 83:635-644.
  • Le Roy. P., Naveau, J., Elsen, J., Sellier, P. 1990. Evidence for a new major gene influencing meat quality in pigs. Genet. Res., Camb. 55:33-40.
  • Levene, H. 1960. Robust Tests for the Equality of Variance. In: Olkin, I., Ed. Contributions to Probability and Statistics. Stanford University Press, p.278-292.
  • Lynch, M., Walsh, B. 1997. Genetical Analysis of Quantitative Traits. Sinauer Associates, Inc. Sunderland, USA.
  • Merat, P. 1968. Distributions de frequences, interpretation du determinisme genetique des carecteres quantitatifs et recherche de "gene majeurs" (in France). Biometrics 24: 277-293.
  • Merat, P. 1990. Pleiotropic and associated effects of major genes. In: Crawford, R.D., Ed. Poultry Breeding and Genetics. Elsevier, Amsterdam. 429-467.
  • O'Brien, R.G. 1979. A General ANOVA Method for Robust Tests of Additive Models for Variances. J. Am. Stat. Assoc. 74: 877-880.
  • Piper, L.R, Bindon, B.M. 1982. Genetic segregation for fecundity in Booroola Merino sheep. In: Barton, RA., Robinson, D.W., Eds. Proceedings of the World Congress on Sheep and Beef Cattle Breeding, Volume 1, The Dunmore Press Ltd., New Zealand, p.395-400.
  • Ricordeau, G., Bouillon, J., Le Roy, P., Elsen, J.M. 1989. Mise en evidence d'un gene a effet majeur sur le debit de traite des chevres (in France). In: 4th International Symposium on Machine Milking of Small Ruminants. Tel Aviv, Israel, p.496-522.
  • Roberts, R.C., Smith, C. 1982. Genes with large effects-theoretical aspects in livestock breeding. In: 2nd World , Congress on Genetics Applied to Livestock Production, Vol 6, Madrid, Spain, p.420-438.
  • Rothschild, M., Jacobson, C, Vaske, D., Tuggle, C, Wang, L., Short, T., Eckardt, G., Sasaki, S., Vincent, A., McLaren, D., Southwood, O., van der Steen, H., Mileham, A., Plastow, G. 1996. The estrogen receptor locus is associated with a major gene influencing litter size in pigs. Proc. Natl. Acad. Sci. USA, 93:201-205.
  • SAS. 1999a. SAS OnlineDoc®, Version 8, Cary, NC: Statistical Analysis Systems Institute Inc. Cary, NC, USA.
  • SAS. 1999b. The SAS System. Version 8. Copyright0 1999 by Statistical Analysis Systems Institute Inc., Cary, NC, USA
  • Yıldız, N., Akbulut, O., Bircan, H. 1998. İstatistiğe Giriş. Şafak Yayınevi, Erzurum, Türkiye.