Variance components estimation in generalized orthogonal models
Discussiones Mathematicae. Probability and Statistics, Tome 27 (2007) no. 1-2, pp. 99-115
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The model y = ∑_j=1^w X_j β̲_j + e̲ is generalized orthogonal if the orthogonal projection matrices on the range spaces of matrices X_j, j = 1, ..., w, commute. Unbiased estimators are obtained for the variance components of such models with cross-nesting.
Keywords:
generalized orthogonal models, variance components, generalized cross nesting designs
@article{DMPS_2007_27_1-2_a5,
author = {Fernandes, C\'elia and Ramos, Paulo and Ferreira, Sandra and Mexia, Jo\~ao},
title = {Variance components estimation in generalized orthogonal models},
journal = {Discussiones Mathematicae. Probability and Statistics},
pages = {99--115},
publisher = {mathdoc},
volume = {27},
number = {1-2},
year = {2007},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMPS_2007_27_1-2_a5/}
}
TY - JOUR AU - Fernandes, Célia AU - Ramos, Paulo AU - Ferreira, Sandra AU - Mexia, João TI - Variance components estimation in generalized orthogonal models JO - Discussiones Mathematicae. Probability and Statistics PY - 2007 SP - 99 EP - 115 VL - 27 IS - 1-2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DMPS_2007_27_1-2_a5/ LA - en ID - DMPS_2007_27_1-2_a5 ER -
%0 Journal Article %A Fernandes, Célia %A Ramos, Paulo %A Ferreira, Sandra %A Mexia, João %T Variance components estimation in generalized orthogonal models %J Discussiones Mathematicae. Probability and Statistics %D 2007 %P 99-115 %V 27 %N 1-2 %I mathdoc %U http://geodesic.mathdoc.fr/item/DMPS_2007_27_1-2_a5/ %G en %F DMPS_2007_27_1-2_a5
Fernandes, Célia; Ramos, Paulo; Ferreira, Sandra; Mexia, João. Variance components estimation in generalized orthogonal models. Discussiones Mathematicae. Probability and Statistics, Tome 27 (2007) no. 1-2, pp. 99-115. http://geodesic.mathdoc.fr/item/DMPS_2007_27_1-2_a5/