Reduced rank quasi-symmetry and quasi-skew symmetry : a generalized bi-linear model approach
Antoine De Falguerolles; Peter G.M. Van Der Heijden
Annales de la Faculté des sciences de Toulouse : Mathématiques (2002)
- Volume: 11, Issue: 4, page 507-524
- ISSN: 0240-2963
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topDe Falguerolles, Antoine, and 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 11.4 (2002): 507-524. <http://eudml.org/doc/73591>.
@article{DeFalguerolles2002,
author = {De Falguerolles, Antoine, Van Der Heijden, Peter G.M.},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {social mobility; exploratory analysis of residuals},
language = {eng},
number = {4},
pages = {507-524},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Reduced rank quasi-symmetry and quasi-skew symmetry : a generalized bi-linear model approach},
url = {http://eudml.org/doc/73591},
volume = {11},
year = {2002},
}
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
PB - UNIVERSITE PAUL SABATIER
VL - 11
IS - 4
SP - 507
EP - 524
LA - eng
KW - social mobility; exploratory analysis of residuals
UR - http://eudml.org/doc/73591
ER -
References
top- [1] Aitkin ( M.), Anderson ( D.), Francis ( B.) and Hinde ( J.). - Statistical Modelling in GLIM, Oxford University Press, Oxford, 1989. Zbl0676.62001
- [2] Becker ( M.P.). - Quasisymmetric models for the analysis of square contingency tables, Journal of the Royal Statistical Society, 52 (1990), 369-378. MR1064423
- [3] Bishop ( Y.M.M.), Fienberg ( S.E.) and Holland ( P.W.). - Discrete Multivariate Analysis: Theory and Practice, MIT Press, Cambridge, Mass, 1975. Zbl0332.62039MR381130
- [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. Zbl0168.39904MR242341
- [6] Caussinus ( H.), De Falguerolles ( A.). - Tableaux carres : modélisation et méthodes factorielles, Revue de Statistique Appliquée, 35 (1987), 35-52.
- [7] Constantine ( A.G.), Gower ( J.C.). - Graphical representation of asymmetric matrices, Applied Statistics, 27 (1978), 297-304. Zbl0436.62049
- [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 Informatics2, pages 263-273, North-Holland, 1980. Zbl0474.62055MR591470
- [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. Zbl0228.62034MR312645
- [13] Gabriel ( K.R.). - Le biplot - outil d'exploration de données multidimensionnelles, to appear in Journal de la Société Française de Statistique, 2002.
- [14] Goodman ( L.). - Simple models for the analysis of association in crossclassifications having ordered categories, Journal of the American Association, 74 (1979), 537-552. MR548257
- [15] Gower ( J.C.), Hand ( D.J.). - Biplots, Chapman and Hall, London, 1996. Zbl0867.62053MR1382860
- [16] Greenacre ( M.). - Theory and Applications of Correspondence Analysis, Academic Press, New York, 1984. Zbl0555.62005MR767260
- [17] Greenacre ( M.). - Correspondence analysis of square asymmetric matrices, Applied Statistics, 49 (2000), 297-310. Zbl0959.62056MR1824542
- [18] Mccullagh ( P.). - Invariance and factorial models (with discussion), Journal of the Royal Statistical Society (series B), 62 (2000), 209-256. MR1749537
- [19] Mccullagh ( P.), Nelder ( J.A.). - Generalized Linear Models, Chapman and Hall, London, 2nd edition, 1989. Zbl0744.62098MR727836
- [20] Stigler ( S.M.). - Statistics on the Table: the History of Statistical Concepts and Methods, Harvard University Press, Cambridge, Massachusetts, 1999. Zbl0997.62506MR1712969
- [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. Zbl0707.62114MR1001477
- [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. Zbl0875.62330
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