Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành y học dành cho các bạn tham khảo đề tài: Interest in quantitative genetics of Dutt’s and Deak’s methods for numerical computation of multivariate normal probability integrals | Génét. Sél. Evol. 1986 18 4 447-474 Interest in quantitative genetics of Dutt s and Deak s methods for numerical computation of multivariate normal probability integrals V. DUCROCQ . COLLEAU . Station de Génétique quantitative et appliquée Centre National de Recherches Zootechniques F 78350 Jouy-en-Josas Summary Numerical computation of multivariate normal probability integrals is often required in quantitative genetic studies. In particular this is the case for the evaluation of the genetic superiorities after independent culling levels selection on several correlated traits for certain methods used to analyse discrete traits and for some studies on selection involving a limited number of candidates. Dutt s and Deak s methods can satisfy most of the geneticist s needs. They are presented in this paper and their precision is analysed in detail. It appears that Dutt s method is remarkably precise for dimensions 1 to 5 except when truncation points or correlation coefficients between traits are very high in absolute value. Deak s method less precise is better suited for higher dimensions 6 to 20 and more generally for all the situations where Dutt s method is no longer adequate. Key words Multiple integral multivariate normal distribution independent culling level selection multivariate probability integrals. Résumé Intérêt en génétique quantitative des methodes de Dutt et de Deak pour le calcul numérique des integrates de la loi multinormale Le calcul numérique d integrales de lois multinormales est souvent rendu nécessaire dans les études de génétique quantitative c est en particulier le cas pour 1 évaluation des effets génétiques d une selection à niveaux independants sur plusieurs caractères corrélés pour certaines methodes d analyse de caractères discontinus OU pour certaines études de sélection portant sur des effectifs limités. Les methodes de Dutt et de Deak peuvent satisfaire une grande partie des besoins des généticiens. Celles-ci sont presentees
