Estimation par un critère de moindres carrés de scores assujettis à des contraintes linéaires dans un modèle d'association
Revue de Statistique Appliquée, Tome 43 (1995) no. 3, pp. 93-104.
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     author = {Jmel, S.},
     title = {Estimation par un crit\`ere de moindres carr\'es de scores assujettis \`a des contraintes lin\'eaires dans un mod\`ele d'association},
     journal = {Revue de Statistique Appliqu\'ee},
     pages = {93--104},
     publisher = {Soci\'et\'e de Statistique de France},
     volume = {43},
     number = {3},
     year = {1995},
     language = {fr},
     url = {http://www.numdam.org/item/RSA_1995__43_3_93_0/}
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Jmel, S. Estimation par un critère de moindres carrés de scores assujettis à des contraintes linéaires dans un modèle d'association. Revue de Statistique Appliquée, Tome 43 (1995) no. 3, pp. 93-104. http://www.numdam.org/item/RSA_1995__43_3_93_0/

Andersen, E.B. (1990). The statistical analysis of categorical data. Springer Verlag. | Zbl

Baccini, A. & Khoudraji A. (1992a). Application d'un modèle d'association à l'analyse d'une table de taux. Rev. Stat. Appl. Vol. 40. N°4. 59-75. | Numdam | Zbl

Baccini, A. & Khoudraji A. (1992b). A least squares procedure for estimating the parameters in the RC-association model for contingency table. Comput. Stat. Vol. 7. N° 3. 287-300. | Zbl

Baccini, A., Caussinus, H. & Falguerolles A. De (1991). RC models in exploratory data analysis. J. Amer. Statist. Assoc., 86, 1115-1117.

Baccini, A., Caussinus, H. & Falguerolles A. De (1993). Analysing dependence in large contingency tables : Dimensionality and patterns in scatterplots. In C.M. Cuadras and C.R. Rao (Eds). Multivariate Analysis : Future Directions 2, 245- 263. Amsterdam: North-Holland. | MR | Zbl

Becker, M.P. & Clogg, C.C. (1989). Analysis of sets of two-way contingency tables using association models. J. Amer. Statist. Assoc., 84, 142- 151. | MR

Becker, M.P. (1990). Maximum likelihood estimation of the RC(M) association model. Appl. Statist., 39, 152-167. | Zbl

Becker, M.P. (1992). Exploratory analysis of association models and singular value decompositions. Comput. Stat. Data Anal. Vol. 13. 253-267.

Becker, M.P. & Clogg, C.C. (1989). Analysis of sets of two-way contingency tables using association models. J. Amer. Statist. Assoc., 84, 142- 151. | MR

Bishop, Y.M.M., Fienberg, S.E. & Holland, P.W. (1975). Discrete multivariate analysis. Cambridge: M.I.T. Press. | MR | Zbl

Böckenholt, U. & Böckenholt, I. (1990). Canonical Analysis of contingency tables with linear constraints. Psychometrika. Vol. 55, N°4, 633-639.

Bonifas, I. Escoufier, Y. Gonzalez, P.L. & Sabatier, R. (1984). Choix de variables en analyse en composantes principales. Rev. Stat. Appl., Vol. 32, N°2, 5-15. | Numdam | MR | Zbl

Burman, P. (1987). Smoothing sparse contingency tables. Sankhya, Series A, Vol. 49, 24-36. | MR | Zbl

Cazes, P. Chessel, D. & Doledec, S. (1988). Analyse des correspondances internes d'un tableau partitionné. Son usage en hydrobiologie, Rev. Stat. Appl. Vol. 36, N°1, 39-54. | Numdam

Cazes, P. & Moreau, J. (1990). Analyse factorielle d'un tableau de contingence dont les lignes et les colonnes sont munies d'une structure de graphe bistochastique. Rapport interne du CEREMADE N°9045.

Denis, J.B. (1991). Ajustement de modèles linéaires et bilinéaires sous contraintes linéaires avec données manquantes. Rev. Stat. Appl., Vol. 39, N° 2, 5-24. | Numdam

Escoufier, Y. (1988). Beyond correspondence analysis. In Classification and related methods of data analysis. H.H. Bock (ed.). Amsterdam: North-Holland. | MR

Escoufier, Y. & Junca, S. (1986). Least-squares approximation of frequencies and their logarithms. Int. Statist. Rev., 54, 279-283.

Falguerolles, A. De & Francis, B. (1992a). Algorithmic approaches for fitting bilinear models. In Computational Statistics. Vol. 1. Proceedings of the 10th Symposium on Computational Statistics. Y. Odge and J. Whittaker (eds.). Physica-Verlag. Heidelberg 1992 for IASC. 77-82.

Falguerolles, A. De, Jmel, S. & Whittaker, J. (1992b). Correspondence analysis and association models constrained by a conditional independence graph. A paraître dans Psychometrika. | Zbl

Gilula, Z. & Haberman, S.J. (1986). Canonical analysis of contingency tables by maximum likelihood. J. Amer. Statist. Assoc., 81, 780- 788. | MR | Zbl

Gilula, Z. & Haberman, S.J. (1988). The analysis of multivariate contingency tables by restricted canonical and restricted association models. J. Amer. Statist. Assoc., 83, 760-771. | MR | Zbl

Goodman, L.A. (1970). The multivariate analysis of qualitative data : interactions among multiple classification. J. Amer. Statist. Assoc., 65, 226-256.

Goodman, L.A. (1979). Simple models for the analysis of association in cross-classifications having ordred categories. J. Amer. Statist. Assoc., 74, 537-552. | MR

Goodman, L.A. (1985). The analysis of cross-classified data having ordered and/or unordered categories : association models, correlation models, and asymmetry models for contingency tables with or without missing entries. Ann. Statist., 13, 10-69. | MR | Zbl

Goodman, L.A. (1986). Some useful extensions of the usual correspondence analysis approach and the usual log-linear models approach in the analysis of contingency tables. Int. Stat. Rev., 54, 243-309. | MR | Zbl

Goodman, L.A. (1991). Measures, models and graphical displays in the analysis of cross- classified data. J. Amer. Statist. Assoc., 86, 1085 -1110. | MR | Zbl

Greenacre, M.J. (1984). Theory and Applications of Correspondence Analysis. Academic Press, Londres. | MR | Zbl

Heijden, P.G.M. Van Der (1987). Correspondence analysis of longitudinal categorical data. Leiden: DSWO.

Rao, C.R. (1964). The use and interpretation of principal component analysis in applied research. Sankhya, Series A, Vol. 26, 329-359. | MR | Zbl

Ritov, Y. & Gilula, Z. (1993). Analysis of contingency tables by correspondence models subject to order constraints. J. Amer. Statist. Assoc., 88, 1380 -1387. | MR | Zbl

Sabatier, R. (1987). Méthodes factorielles en analyse des données : approximations et prises en compte de variables concomitantes. Thèse d'Etat. Université Montpellier II.

Simonoff, J.S. (1983). A penality function approach to smoothing sparse contingency tables. Ann. Statist., 11, 208-218. | MR | Zbl

Takane, Y., Yanai, H. & Mayekawa, S. (1991a). Relationships among several methods of linearly constrained correspondence analysis. Psychometrika. Vol. 56, N°4, 667-684. | MR | Zbl

Takane, Y. & Shibayama, T. (1991b). Principal component analysis with external information on both subject and variables. Psychometrika. Vol. 56, N°1, 121- 136. | MR | Zbl

Tsujitani, M. (1992). A note on the additive and multiplicative models in two-way contingency tables. Biometrics. Vol. 48. 267- 269.