Héteroscédasticité et modèles linéaires mixtes : théorie et applications en génétique quantitative
Journal de la Société française de statistique, Tome 143 (2002) no. 1-2, pp. 155-165. 
@article{JSFS_2002__143_1-2_155_0,
     author = {San Cristobal, Magali and Robert-Grani\'e, Christ\`ele and Foulley, Jean-Louis},
     title = {H\'eterosc\'edasticit\'e et mod\`eles lin\'eaires mixtes : th\'eorie et applications en g\'en\'etique quantitative},
     journal = {Journal de la Soci\'et\'e fran\c{c}aise de statistique},
     pages = {155--165},
     publisher = {Soci\'et\'e fran\c{c}aise de statistique},
     volume = {143},
     number = {1-2},
     year = {2002},
     language = {fr},
     url = {http://www.numdam.org/item/JSFS_2002__143_1-2_155_0/}
}
TY  - JOUR
AU  - San Cristobal, Magali
AU  - Robert-Granié, Christèle
AU  - Foulley, Jean-Louis
TI  - Héteroscédasticité et modèles linéaires mixtes : théorie et applications en génétique quantitative
JO  - Journal de la Société française de statistique
PY  - 2002
SP  - 155
EP  - 165
VL  - 143
IS  - 1-2
PB  - Société française de statistique
UR  - http://www.numdam.org/item/JSFS_2002__143_1-2_155_0/
LA  - fr
ID  - JSFS_2002__143_1-2_155_0
ER  - 
%0 Journal Article
%A San Cristobal, Magali
%A Robert-Granié, Christèle
%A Foulley, Jean-Louis
%T Héteroscédasticité et modèles linéaires mixtes : théorie et applications en génétique quantitative
%J Journal de la Société française de statistique
%D 2002
%P 155-165
%V 143
%N 1-2
%I Société française de statistique
%U http://www.numdam.org/item/JSFS_2002__143_1-2_155_0/
%G fr
%F JSFS_2002__143_1-2_155_0
San Cristobal, Magali; Robert-Granié, Christèle; Foulley, Jean-Louis. Héteroscédasticité et modèles linéaires mixtes : théorie et applications en génétique quantitative. Journal de la Société française de statistique, Tome 143 (2002) no. 1-2, pp. 155-165. http://www.numdam.org/item/JSFS_2002__143_1-2_155_0/

Dempster Ap., Laird Nm., Rubin Db. (1977), Maximum likelihood from incomplete data via the EM algorithm. J. R. Statis. Soc B, 39, 1-38. | MR | Zbl

Falconer Ds. (1952), The problem of environment and selection, Am. Nat, 86, 293-298.

Foulley Jl. (1997), ECM approaches to heteroskedastic mixed models with constant variance ratios, Genet. Sel. Evol, 29, 297-318.

Foulley Jl., Delmas C. , Robert-Granié C. (2002), Méthodes du maximum de vraisemblance en modèle linéaire mixte, Journal de la Société Française de Statistique, 143, 1-2, 5-52.

Foulley Jl., Gianola D. (1996), Statistical analysis of ordered categorical data via a structural heteroskedastic threshold model, Genet. Sel. Evol, 28, 217-320.

Foulley Jl., Gianola D., Sancristobal M., Im S. (1990), A method for assessing extent and sources of heterogeneity of residual variances in mixed linear models, J. Dairy Sci., 73, 1612-1624.

Foulley Jl., Hébert D., Quaas R.L. (1994), Inferences on homogeneity of between-family components of variance and covariance among environments in balanced cross-classified designs, Genet. Sel. Evol, 26, 117-136.

Foulley Jl., Jaffrezic F., Robert-Granié C. (2000), EM-REML estimation of covariance parameters in Gaussian mixed models for longitudinal data analysis, Genet. Sel Evol, 32, 129-141.

Foulley Jl., Quaas Rl. (1995), Heterogeneous variances in Gaussian linear mixed models, Genet. Sel. Evol, 27, 211-228.

Foulley Jl., Quaas Rl., Thaon D' Arnoldi C. (1998), A link function approach to heterogeneous variance components, Genet. Sel. Evol., 30, 27-43.

Foulley Jl., Sancristobal M., Gianola D., Im S. (1992), Marginal likelihood and Bayesian approaches to the analysis of heterogeneous residual variances in mixed linear Gaussian models, Comput. Stat. Data Anal, 13, 291-305. | Zbl

Foulley Jl., Vandyk Da. (2002), The PX-EM algorithm for fast fitting of Henderson's mixed model, Genet. Sel. Evol, 32, 143-163.

Garrick D.J., Van Vleck L.D. (1987), Aspects of selection for performance in several environments with heterogeneous variances, J. Anim. Sci., 65, 409-421.

Hill W.G. (1984), On selection among groups with heterogeneous variance, Anim. Prod., 39, 473-477.

Meng Xl., Vandyk Da. (1998), Fast EM-type implementation for mixed effects models, J. R. Statis. Soc. B, 60, 559-578. | MR | Zbl

Meuwissen T.H.E., De Jong G., Engel B. (1996), Joint estimation of breeding values and heterogeneous variances of large data files, J. Dairy Sci., 79, 310-316.

Paterson Hd., Thompson R. (1971), Recovery of inter-block information when block sizes are unequal, Biometrika, 58, 545-554. | MR | Zbl

Robert C., Ducrocq V., Foulley Jl. (1997), Heterogeneity of variance for type traits in the Montbeliarde cattle, Genet. Sel. Evol, 29, 545-570.

Robert C. , Foulley Jl., Ducrocq V. (1995), Genetic variation of traits measured in several environments. I Estimation and testing of homogeneous genetic and intra-class correlations. II Inference on between environment homogeneity of intra-class correlations using heteroskedastic models, Genet. Sel. Evol, 27, 111-134.

Robert-Granié C. , Bonaiti B., Boichard D., Barbat A. (1999), Accounting for variance heterogeneity in French dairy cattle genetic evaluation, Livestock Prod. Sci., 60, 343-357.

Robert-Granié C. , Heude B., Foulley Jl. (2002), Modelling the growth curve of Maine-Anjou beef cattle using heteroskedastic random regression models, Genet. Sel. Evol, 34, 423-445.

Ros M., Sancristobal M., Dupont-Nivet M., Mallard J. (2002), Comparison of maximum likelihood, bootstrap and MCMC methods in a structural model for heterogeneous variances, Proc. 7th WCGALP, 19-23 August 2002, Montpellier, France.

Sancristobal M., Foulley Jl., Manfredi E. (1993), Inference about multiplicative heteroskedastic components of variance in a mixed linear Gaussian model with an application to beef cattle breeding, Genet. Sel. Evol, 25, 3-30.

Sancristobal-Gaudy M., Bodin L., Elsen Jm., Chevalet C. (2001), Genetic components of litter size variability in sheep, Genet. Sel Evol, 33, 249-271.

Sancristobal-Gaudy M., Elsen Jm., Bodin L., Chevalet C. (1998), Prediction of the response to a selection for canalisation of a continuous trait in animal breeding, Genet. Sel. Evol, 30, 423-451.

Visscher P.M. (1992), On the power of likelihood ratio tests for detecting heterogeneity of intra-class correlations and variances in balanced half-sib designs, J. Dairy Sci., 75, 1320-1330.

Visscher P.M., Hill W.G. (1992), Heterogeneity of variance and dairy cattle breeding, Anim. Prod., 55, 312-329.

Weigel K.A., Gianola D., Yandel B.S., Keown J.F. (1993), Identification of factors causing heterogeneous within-herd variance components using a structural model for variances, J. Dairy Sci., 76, 1466-1478.