Estimation par un critère de moindres carrés de scores assujettis à des contraintes linéaires dans un modèle d'association

S. Jmel

Revue de Statistique Appliquée (1995)

  • Volume: 43, Issue: 3, page 93-104
  • ISSN: 0035-175X

How to cite

top

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 43.3 (1995): 93-104. <http://eudml.org/doc/106382>.

@article{Jmel1995,
author = {Jmel, S.},
journal = {Revue de Statistique Appliquée},
language = {fre},
number = {3},
pages = {93-104},
publisher = {Société de Statistique de France},
title = {Estimation par un critère de moindres carrés de scores assujettis à des contraintes linéaires dans un modèle d'association},
url = {http://eudml.org/doc/106382},
volume = {43},
year = {1995},
}

TY - JOUR
AU - Jmel, S.
TI - Estimation par un critère de moindres carrés de scores assujettis à des contraintes linéaires dans un modèle d'association
JO - Revue de Statistique Appliquée
PY - 1995
PB - Société de Statistique de France
VL - 43
IS - 3
SP - 93
EP - 104
LA - fre
UR - http://eudml.org/doc/106382
ER -

References

top
  1. Andersen, E.B. (1990). The statistical analysis of categorical data. Springer Verlag. Zbl0724.62004
  2. 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. Zbl0972.62518
  3. 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. Zbl0775.62141
  4. Baccini, A., Caussinus, H. & Falguerolles A. de (1991). RC models in exploratory data analysis. J. Amer. Statist. Assoc., 86, 1115-1117. 
  5. 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. Zbl0925.62212MR1268424
  6. 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. MR999672
  7. Becker, M.P. (1990). Maximum likelihood estimation of the RC(M) association model. Appl. Statist., 39, 152-167. Zbl0715.62111
  8. Becker, M.P. (1992). Exploratory analysis of association models and singular value decompositions. Comput. Stat. Data Anal. Vol. 13. 253-267. 
  9. 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. MR999672
  10. Bishop, Y.M.M., Fienberg, S.E. & Holland, P.W. (1975). Discrete multivariate analysis. Cambridge: M.I.T. Press. Zbl0332.62039MR381130
  11. Böckenholt, U. & Böckenholt, I. (1990). Canonical Analysis of contingency tables with linear constraints. Psychometrika. Vol. 55, N°4, 633-639. 
  12. 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. Zbl0583.62053MR762621
  13. Burman, P. (1987). Smoothing sparse contingency tables. Sankhya, Series A, Vol. 49, 24-36. Zbl0639.62050MR917903
  14. 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. 
  15. 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. 
  16. 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. 
  17. Escoufier, Y. (1988). Beyond correspondence analysis. In Classification and related methods of data analysis. H.H. Bock (ed.). Amsterdam: North-Holland. MR999548
  18. Escoufier, Y. & Junca, S. (1986). Least-squares approximation of frequencies and their logarithms. Int. Statist. Rev., 54, 279-283. 
  19. 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. 
  20. Falguerolles, A. de, Jmel, S. & Whittaker, J. (1992b). Correspondence analysis and association models constrained by a conditional independence graph. A paraître dans Psychometrika. Zbl0834.62055
  21. Gilula, Z. & Haberman, S.J. (1986). Canonical analysis of contingency tables by maximum likelihood. J. Amer. Statist. Assoc., 81, 780- 788. Zbl0623.62047MR860512
  22. 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. Zbl0662.62063MR963804
  23. Goodman, L.A. (1970). The multivariate analysis of qualitative data : interactions among multiple classification. J. Amer. Statist. Assoc., 65, 226-256. 
  24. Goodman, L.A. (1979). Simple models for the analysis of association in cross-classifications having ordred categories. J. Amer. Statist. Assoc., 74, 537-552. MR548257
  25. 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. Zbl0613.62070MR773152
  26. 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. Zbl0611.62060MR963345
  27. Goodman, L.A. (1991). Measures, models and graphical displays in the analysis of cross- classified data. J. Amer. Statist. Assoc., 86, 1085 -1110. Zbl0850.62093MR1146354
  28. Greenacre, M.J. (1984). Theory and Applications of Correspondence Analysis. Academic Press, Londres. Zbl0555.62005MR767260
  29. Heijden, P.G.M. van der (1987). Correspondence analysis of longitudinal categorical data. Leiden: DSWO. Zbl1133.90328
  30. Rao, C.R. (1964). The use and interpretation of principal component analysis in applied research. Sankhya, Series A, Vol. 26, 329-359. Zbl0137.37207MR184375
  31. Ritov, Y. & Gilula, Z. (1993). Analysis of contingency tables by correspondence models subject to order constraints. J. Amer. Statist. Assoc., 88, 1380 -1387. Zbl0792.62049MR1245373
  32. Sabatier, R. (1987). Méthodes factorielles en analyse des données : approximations et prises en compte de variables concomitantes. Thèse d'Etat. Université Montpellier II. 
  33. Simonoff, J.S. (1983). A penality function approach to smoothing sparse contingency tables. Ann. Statist., 11, 208-218. Zbl0527.62043MR684878
  34. Takane, Y., Yanai, H. & Mayekawa, S. (1991a). Relationships among several methods of linearly constrained correspondence analysis. Psychometrika. Vol. 56, N°4, 667-684. Zbl0760.62057MR1149337
  35. Takane, Y. & Shibayama, T. (1991b). Principal component analysis with external information on both subject and variables. Psychometrika. Vol. 56, N°1, 121- 136. Zbl0725.62055MR1115297
  36. Tsujitani, M. (1992). A note on the additive and multiplicative models in two-way contingency tables. Biometrics. Vol. 48. 267- 269. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.