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Intérêt en génétique quantitative des méthodes de Dutt et de Deak pour le calcul numérique des intégrales de la loi multinormale

Abstract : 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.
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Vincent Ducrocq, J Jacques Colleau. Intérêt en génétique quantitative des méthodes de Dutt et de Deak pour le calcul numérique des intégrales de la loi multinormale. Génétique sélection évolution, INRA Editions, 1986, 18 (4), pp.447-474. ⟨hal-02718738⟩

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