TAILIEUCHUNG - Báo cáo sinh học: " Inference about multiplicative heteroskedastic components of variance in a mixed linear Gaussian model with an application to beef cattle breeding"

Tuyển tập các báo cáo nghiên cứu về sinh học được đăng trên tạp chí sinh học Journal of Biology đề tài: Inference about multiplicative heteroskedastic components of variance in a mixed linear Gaussian model with an application to beef cattle breeding | Genet Sei Evol 1993 25 3-30 Elsevier INRA 3 Original article Inference about multiplicative heteroskedastic components of variance in a mixed linear Gaussian model with an application to beef cattle breeding M San Cristobal1 JL Foulley1 E Manfredi2 1 INRA Station de Génétique Quantitative et Appliquée 78352 Jouy-en-Josas Cedex 2 INRA Station d Amelioration Génétique des Animaux BP 27 SI326 Castanet-Tolosan Cedex France Received 28 April 1992 accepted 23 September 1992 Summary - A statistical method for identifying meaningful sources of heterogeneity of residual and genetic variances in mixed linear Gaussian models is presented. The method is based on a structural linear model for log variances. Inference about dispersion parameters is based on the marginal likelihood after integrating out location parameters. A likelihood ratio test using the marginal likelihood is also proposed to test for hypotheses about sources of variation involved. A Bayesian extension of the estimation procedure of the dispersion parameters is presented which consists of determining the mode of their marginal posterior distribution using log inverted chi-square or Gaussian distributions as priors. Procedures presented in the paper are illustrated with the analysis of muscle development scores at weaning of 8 575 progeny of 142 sires in the Maine-Anjou breed. In this analysis heteroskedasticity is found both for the sire and residual components of variance. heteroskedasticity mixed linear model I Bayesian technique Resume - Inference sur une hétérogénéité multiplicative des composantes de la variance dans un modèle linéaire mixte gaussien application à la selection des bovins viande. Une méthode statistique est présentée capable d identifier les sources significatives d hétérogénéité de variances residuelies et génétiques dans un modèle linéaire mixte gaussien. La méthode est fondée sur un modèle structurel de decomposition du logarithme des variances. L inference concernant les paramètres de

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