Geodesic
Inference for random effects in prime basis factorials using commutative Jordan algebras
Discussiones Mathematicae. Probability and Statistics, Tome 27 (2007) no. 1-2, pp. 15-25

Voir la notice de l'article provenant de la source Library of Science

Commutative Jordan algebras are used to drive an highly tractable framework for balanced factorial designs with a prime number p of levels for their factors. Both fixed effects and random effects models are treated. Sufficient complete statistics are obtained and used to derive UMVUE for the relevant parameters. Confidence regions are obtained and it is shown how to use duality for hypothesis testing.
Keywords: prime basis factorial, commutative Jordan algebras, complete sufficient statistics, UMVUE, confidence regions 
@article{DMPS_2007_27_1-2_a1,
     author = {Jesus, Vera and Rodrigues, Paulo and Mexia, Jo\~ao},
     title = {Inference for random effects in prime basis factorials using commutative {Jordan} algebras},
     journal = {Discussiones Mathematicae. Probability and Statistics},
     pages = {15--25},
     publisher = {mathdoc},
     volume = {27},
     number = {1-2},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMPS_2007_27_1-2_a1/}
}
TY  - JOUR
AU  - Jesus, Vera
AU  - Rodrigues, Paulo
AU  - Mexia, João
TI  - Inference for random effects in prime basis factorials using commutative Jordan algebras
JO  - Discussiones Mathematicae. Probability and Statistics
PY  - 2007
SP  - 15
EP  - 25
VL  - 27
IS  - 1-2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMPS_2007_27_1-2_a1/
LA  - en
ID  - DMPS_2007_27_1-2_a1
ER  - 
%0 Journal Article
%A Jesus, Vera
%A Rodrigues, Paulo
%A Mexia, João
%T Inference for random effects in prime basis factorials using commutative Jordan algebras
%J Discussiones Mathematicae. Probability and Statistics
%D 2007
%P 15-25
%V 27
%N 1-2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMPS_2007_27_1-2_a1/
%G en
%F DMPS_2007_27_1-2_a1
Jesus, Vera; Rodrigues, Paulo; Mexia, João. Inference for random effects in prime basis factorials using commutative Jordan algebras. Discussiones Mathematicae. Probability and Statistics, Tome 27 (2007) no. 1-2, pp. 15-25. http://geodesic.mathdoc.fr/item/DMPS_2007_27_1-2_a1/