Reduced rank quasi-symmetry and quasi-skew symmetry : a generalized bi-linear model approach
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 11 (2002) no. 4, pp. 507-524. 
@article{AFST_2002_6_11_4_507_0,
     author = {de Falguerolles, Antoine and van der Heijden, Peter G.M.},
     title = {Reduced rank quasi-symmetry and quasi-skew symmetry : a generalized bi-linear model approach},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {507--524},
     publisher = {Universit\'e Paul Sabatier. Facult\'e des sciences},
     address = {Toulouse},
     volume = {Ser. 6, 11},
     number = {4},
     year = {2002},
     mrnumber = {2032355},
     zbl = {02074279},
     language = {en},
     url = {http://www.numdam.org/item/AFST_2002_6_11_4_507_0/}
}
TY  - JOUR
AU  - de Falguerolles, Antoine
AU  - van der Heijden, Peter G.M.
TI  - Reduced rank quasi-symmetry and quasi-skew symmetry : a generalized bi-linear model approach
JO  - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY  - 2002
SP  - 507
EP  - 524
VL  - 11
IS  - 4
PB  - Université Paul Sabatier. Faculté des sciences
PP  - Toulouse
UR  - http://www.numdam.org/item/AFST_2002_6_11_4_507_0/
LA  - en
ID  - AFST_2002_6_11_4_507_0
ER  - 
%0 Journal Article
%A de Falguerolles, Antoine
%A van der Heijden, Peter G.M.
%T Reduced rank quasi-symmetry and quasi-skew symmetry : a generalized bi-linear model approach
%J Annales de la Faculté des sciences de Toulouse : Mathématiques
%D 2002
%P 507-524
%V 11
%N 4
%I Université Paul Sabatier. Faculté des sciences
%C Toulouse
%U http://www.numdam.org/item/AFST_2002_6_11_4_507_0/
%G en
%F AFST_2002_6_11_4_507_0
de Falguerolles, Antoine; van der Heijden, Peter G.M. Reduced rank quasi-symmetry and quasi-skew symmetry : a generalized bi-linear model approach. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 11 (2002) no. 4, pp. 507-524. http://www.numdam.org/item/AFST_2002_6_11_4_507_0/

[1] Aitkin (M.), Anderson (D.), Francis (B.) and Hinde (J.). - Statistical Modelling in GLIM, Oxford University Press, Oxford, 1989. | Zbl

[2] Becker (M.P.). - Quasisymmetric models for the analysis of square contingency tables, Journal of the Royal Statistical Society, 52 (1990), 369-378. | MR

[3] Bishop (Y.M.M.), Fienberg (S.E.) and Holland (P.W.). - Discrete Multivariate Analysis: Theory and Practice, MIT Press, Cambridge, Mass, 1975. | MR | Zbl

[4] Caillez (F.), Pagès (J.-P.). - Introduction à l'analyse des données, SMASH, Paris, 1976.

[5] Caussinus (H.). - Contribution à l'analyse statistique des tableaux de corrélation, Annales de la Faculté des Sciences de Toulouse, 29 (année 1965), (1966), 77-183. | EuDML | Numdam | MR | Zbl

[6] Caussinus (H.), De Falguerolles (A.). - Tableaux carres : modélisation et méthodes factorielles, Revue de Statistique Appliquée, 35 (1987), 35-52. | EuDML | Numdam

[7] Constantine (A.G.), Gower (J.C.). - Graphical representation of asymmetric matrices, Applied Statistics, 27 (1978), 297-304. | Zbl

[8] Escoufier (Y.), Grorud (A.). - L'analyse factorielle des matrices carrées non symmétriques, in E. Diday, L. Lebart, J.P. Pagès and R. Tomassone, editors, Data Analysis and Informatics 2, pages 263-273, North-Holland, 1980. | MR | Zbl

[9] De Falguerolles (A.). - GBMs: GLMs with bilinear terms, in J. Bethlehem & P.G.M. van der Heijden, editors, COMPSTAT 2000, proceedings in computational statistics, Physica-Verlag, 2000.

[10] De Falguerolles (A.), Francis (B.). - Algorithmic approaches for fitting bilinear models, in Y. Dodge and J. Whittaker, editors, COMPSTAT'92 Proceedings in Computational Statistics, volume 1, Physica-Verlag, 1992.

[11] De Falguerolles (A.), Francis (B.). - Fitting bilinear models in GLIM, GLIM Newsletter, 25 (1995), 9-20.

[12] Gabriel (K.R.). - The biplot graphic display of matrices with application to principal component analysis, Biometrika, 58 (1971), 453-467. | MR | Zbl

[13] Gabriel (K.R.). - Le biplot - outil d'exploration de données multidimensionnelles, to appear in Journal de la Société Française de Statistique, 2002. | EuDML

[14] Goodman (L.). - Simple models for the analysis of association in crossclassifications having ordered categories, Journal of the American Association, 74 (1979), 537-552. | MR

[15] Gower (J.C.), Hand (D.J.). - Biplots, Chapman and Hall, London, 1996. | MR | Zbl

[16] Greenacre (M.). - Theory and Applications of Correspondence Analysis, Academic Press, New York, 1984. | MR | Zbl

[17] Greenacre (M.). - Correspondence analysis of square asymmetric matrices, Applied Statistics, 49 (2000), 297-310. | MR | Zbl

[18] Mccullagh (P.). - Invariance and factorial models (with discussion), Journal of the Royal Statistical Society (series B), 62 (2000), 209-256. | MR

[19] Mccullagh (P.), Nelder (J.A.). - Generalized Linear Models, Chapman and Hall, London, 2nd edition, 1989. | MR | Zbl

[20] Stigler (S.M.). - Statistics on the Table: the History of Statistical Concepts and Methods, Harvard University Press, Cambridge, Massachusetts, 1999. | MR | Zbl

[21] Van Der Heijden (P.G.M.), De Falguerolles (A.), De Leeuw (J.). - A combined approach to contingency table analysis using correspondence analysis (with Discussion), Applied Statistics, 38 (1989), 249-292. | MR | Zbl

[22] Van Der Heijden (P.G.M.), Mooijaart (A.). - Some new-bilinear models for the analysis of asymmetry in a square contingency table, Sociological Methods and Research, 24 (1995), 7-29.

[23] Van Eeuwijk (F.A.). - Multiplicative interaction in generalized linear models, Biometrics, 51 (1995), 1017-1032. | Zbl