@article{JSFS_2002__143_3-4_5_0, author = {Gabriel, K. Ruben}, title = {Le biplot - outil d'exploration de donn\'ees multidimensionnelles}, journal = {Journal de la Soci\'et\'e fran\c{c}aise de statistique}, pages = {5--55}, publisher = {Soci\'et\'e fran\c{c}aise de statistique}, volume = {143}, number = {3-4}, year = {2002}, language = {fr}, url = {http://www.numdam.org/item/JSFS_2002__143_3-4_5_0/} }
TY - JOUR AU - Gabriel, K. Ruben TI - Le biplot - outil d'exploration de données multidimensionnelles JO - Journal de la Société française de statistique PY - 2002 SP - 5 EP - 55 VL - 143 IS - 3-4 PB - Société française de statistique UR - http://www.numdam.org/item/JSFS_2002__143_3-4_5_0/ LA - fr ID - JSFS_2002__143_3-4_5_0 ER -
%0 Journal Article %A Gabriel, K. Ruben %T Le biplot - outil d'exploration de données multidimensionnelles %J Journal de la Société française de statistique %D 2002 %P 5-55 %V 143 %N 3-4 %I Société française de statistique %U http://www.numdam.org/item/JSFS_2002__143_3-4_5_0/ %G fr %F JSFS_2002__143_3-4_5_0
Gabriel, K. Ruben. Le biplot - outil d'exploration de données multidimensionnelles. Journal de la Société française de statistique, Tome 143 (2002) no. 3-4, pp. 5-55. http://www.numdam.org/item/JSFS_2002__143_3-4_5_0/
The relationship between variable selection and data augmentation as a method of prediction." Technometrics, 16, 125-127. | MR | Zbl
(1974). "Analysing dependence in large contingency tables : Dimensionality and patterns in scatter-plots." Multivariate Analysis : Future Directions 2 (eds. C M . Cuadras et C.R. Rao). Amsterdam; Elsevier, pp. 245-263. | MR | Zbl
, et de (1993). "L'Analyse des Données, Tome 2 : L'Analyse des Correspondances. Paris : Dunod. | Zbl
(1973).Sur l'analyse des tableaux binaires associés à une correspondance multiple.» Cahiers de l'Analyse des Données, 2, 55-71.
(1978). «The biplot as a diagnostic tool for models in two-way tables." Technometrics, 20, 47-68. | Zbl
et (1978). "Contiguity analysis and projection pursuit." Applied Stochastic Models and Data Analysis (eds. R. Gutierrez et M.J.M.Valderrama). World Scientific, pp. 117-128. | MR
et (1991). "Décompositions and biplots in three-way correspondence analysis." Psychometrika, 61, 355-373. | Zbl
et (1996). "Models and uses of principal component analysis.," en Multidimensional Data Analysis, (eds. J. de Leeuw, W. Heiser, J. Meulman et F. Critchley). Leiden, DSWO Press, pp. 149-170.
(1986). "Projections révélatrices», en Modèles pour l'Analyse des Données Multidimensionnelles, (eds. J. J. Droesbeke, B. Fichet et P. Tassi). Paris, Economica, pp. 241-265.
(1992). «Modèles probabilistes et analyse des données multidimensionnelles». Journal de la Société de Statistique de Paris, 134, 15-32.
(1993). «Tableaux carrés : modélisation et méthodes factorielles» Revue de Statistique Appliquée, XXXV, 35-52.
et de (1987). «Comparing the parameters of a model for several units by means of principal components analysis." Computational Statistics and Data Analysis, 13, 269-280. | Zbl
et (1992). "Projections révélatrices contrôlées - recherche d'individus atypiques.» Revue de Statistique Appliquée, L(4), 81-94.
, , et (2002). «Projections révélatrices contrôlées - groupements et structures complexes.» Revue de Statistique Appliquée, LI(1), 37-58.
, , et (2003). «Interesting projections of multidimensional data by means of generalized principal component analysis." COMPSTAT 90. Heidelberg : Physica Verlag, pp. 121-36.
et (1990). "Projection pursuit and generalized principal component analysis," in New Directions in Statistical Data Analysis and Robustness. Basel : Birkhausen Verlag, pp.35-46. | MR | Zbl
et (1993). "Metrics for finding typical structures by means of principal component analysis," in Data Science and Its Applications. Harcourt Brace, pp. 177-92.
et (1995). "Use of 3-D biplots for diagnosing models to fit high-dimensional data. University of Rochester, Department of Statistics Technical report 86/06.
, , et (1986).Visualizing Data. Murray Hill, NJ, AT&T Bell.
(1993).Graphical exploration in comparing variance matrices." Biometrics, 32, 851-863. | Zbl
et (1976). "A robust biplot." Canadian Journal of Statistics, 20, 241-255. | MR | Zbl
et (1992). "Cross-validatory choice of the number of components from a principal component analysis". Technometrics, 24, 73-77. | MR
et (1982). "Le traitement des variables vectorielles». Biométries, 29, 751-760. | MR
(1973). «Trop de camemberts tuent le camembert». Journal de la Société Française de Statistique, 141, 45-49.
de (2000). «Log-bilinear biplots in action," in Visualization Of Categorical Data (eds. J. Blasius and M. Greenacre). San Diego : Academic Press, 527-539.
de (1998). "Algorithmic approaches for fitting bilinear models," in COMPSTAT 92 : Computational Statistics, Vol. 1, (eds. Y. Dodge and J. Whittaker). Heidelberg, Physica-Verlag, pp. 77-82. | MR
de et (1992). "Analyse de contiguïté : une analyse discriminante généralisée à plusieurs variables qualitatives». Revue de Statistique Appliquée, 4 1 , 73-84.
(1993). «Interpretation tools for generalized discriminant analysis," in New Approaches in Classification and Data Analysis (eds. E, Diday, Y. Lechevallier, M. Schader, P. Bertrand et B. Burtschy). Berlin, Springer-Verlag, 285-291. | MR
(1994). "Spatial contiguity analysis : a method for describing spatial structures of seismic data." Journal of Petroleum Science and Engineering, 31 , 93-111.
, et (2001). "Improvement of some multidimensional estimates by reduction of dimensionality." Journal of Multivariate Analysis, 54, 147-162. | MR | Zbl
(1995). "Modèles fonctionels et structurels», en Modèles pour l'Analyse des Données Multidimensionelles, (eds. J. J. Droesbeke, B. Fichet et P. Tassi). Paris, Economica, pp. 21-60.
(1992). «The analysis of adaptation in a plant breeding programme," Austrahan Journal of Agricultural Research, 14, 742-754.
et (1963). "The Design of Experiments. Edinburgh, Oliver and Boyd. | JFM
(1935).The roots and branches of modern statistical graphies." Journal de la Société Française de Statistique, 141, 51-60.
, et (2000). "The biplot - graphical display of matrices with application to principal component analysis." Biometrika, 58, 453-467. | MR | Zbl
(1971). "Analysis of meteorological data by means of canonical decomposition and biplots." Journal of Applied Meteorology, 11, 1071-77.
(1972). "Least squares approximation of matrices by additive and multiplicative models." Journal of the Royal Statistical Society, B, 40, 186-196. | MR | Zbl
( 1978a). "The complex correlational biplot," en Theory Construction and Data Analysis in the Behavioral Sciences (ed. S. Shye). San Francisco, Jossey-Bass, pp. 350-370.
( 1978b). "Biplot display of multivariate matrices for inspection of data and diagnosis," en Interpreting Multivariate Data (ed. V. Barnett). Chichester, Wiley, pp. 147-173. | MR
(1981). "Biplot," en Encyclopedia of Statistical Sciences, Vol. I (eds. S. Kotz and N.L. Johnson). New York : Wiley, pp. 262-265. | MR
(1982). "Some thoughts on comparing multivariate data with the map locations at which they were observed," en Proceedings of the 19th Symposium on the Interface : Computer Science and Statistics (eds. R. M. Heiberger et M. T. Martin). Alexandria, Virginia : American Statistical Association, pp. 139-146.
(1987). "Relating multivariate data to geographical location," en Data Analysis, Expert Knowledge and Decisions (eds. W. Gaul et M. Schader). Berlin : Springer, pp. 341-354.
(1988). "Biplot display of multivariate categorical data, with comments on multiple correspondence analysis," en Recent Advances in Descriptive Multivariate Analysis (ed. W.J. Krzanowski). Oxford : Clarendon. Chapter 9. | MR
( 1995a). "MANOVA biplots for two-way contingency tables," in Recent Advances m Descriptive Multivariate Analysis (ed. W.J. Krzanowski). Oxford : Clarendon. Chapter 10.
( 1995b). "The effect of metrics on biplot display," en Statistical and Mathematical Modelling in the Fields of Food Science, Biotechnology and Environment, (ed. Ute Rmisch). Berlin : Frauenhofer Institut.
(1997). "Generalized bilinear regression." Biometrika, 85, 689-700. | MR | Zbl
(1998). "Goodness of fit of biplots and correspondence analysis." Biometrika, 89, 423-436. | MR | Zbl
(2002). "Lower rank fits and biplots from incomplete data." (In préparation).
( 2003a). "Cross-validation and choice of dimension for lower rank fits and biplots." (In préparation).
( 2003b). "Use of Biplots to diagnose independence models in contingency tables," in Visualization Of Categorical Data (eds. J. Blasius and M. Greenacre). San Diego : Academic Press, 391-404.
, et (1998). "Résistant lower rank approximation of matrices," in Data Analysis and Informatics III, (eds. E. Diday, M. Jambu, L. Lebart, J. Pages, and R. Tomassone). Amsterdam : North-Holland, 23-30. | MR
et (1984). "Biplots in biomedical research." Statistics in Medicine, 9, 469-485.
et (1990). "Lower rank approximation of matrices by least squares with any choice of weights." Technometrics, 2 1 , 489-498. | Zbl
et (1979). "Una alternativa de representacion simultanea : HJ-biplot." Questio, 10, 13-23.
(1986). "Statistical Analysis of Regional Yield Trials : AMMI Analysis of Factorial Designs. Amsterdam : Elsevier.
(1992).Identifying mega-environment and targeting genotypes." Crop Science, 37, 311-326.
et (1997). "The contiguity ratio and statistical mapping." The Incorporated Statistician, 5, 115-154.
(1954). "The biplot graphic technique for the representation of multivariate time series." European Journal of Operational Research, 27, 95-103. | Zbl
(1986). "Procrustes methods in the analysis of shape." Journal of the Royal Statistical Society, Series B, 53, 285-339. | MR | Zbl
(1991). "Measures, models, and graphical displays in the analysis of cross-classified data." Journal of the American Statistical Association, 86, 1085-1138. | MR | Zbl
(1991). "Statistical methods of comparing different multivariate analyses of the same data," in Mathematics in the Archeological and Historical Sciences (eds. F.R. Hodson, D.G. Kendall, et P. Tautu ). Edinburgh : University Press, 138-149. | Zbl
(1971). "Biplots. London : Chapman and Hall. | MR | Zbl
et (1996).Theory and Application of Correspondence Analysis. London : Academic Press. | MR | Zbl
(1984).Correspondence analysis of multivariate categorical data by weighted least squares." Biometrika, 75, 457-467. | MR | Zbl
(1988). "Biplots in Correspondence Analysis." Journal of Applied Statistics, 20, 251-269.
(1993). "The Singular Value Decomposition of Random Matrices. Thèse de Ph.D., Jerusalem, Hebrew University.
(1975).Multivariate Datenanalyse. Berlin, Springer.
and (1995).On the fit of sample graphical displays to pattems in populations. University of Rochester, Ph.D thesis. | MR
(1996).The fit of graphical displays to patterns of expectations." Computational Statistics and Data Analysis, 36, 47-67. | MR | Zbl
et (2001). "Matrix approximation and latent roots." American Mathematical Monthly, 45, 165-171. | JFM | MR
et (1938). "Statistical determination of barley varietal adaptation." Journal of the American Society of Agronomy, 26, 403-419.
, et (1934). "Sur l'utilisation conjointe d'une classification hiérarchique et de l'analyse factorielle en composantes principales». Revue de Statistique Appliquée, 25, 4, 5-35.
(1977). « (2002). Principal Component Analysis, 2e ed. Springer, New York. |The use of biplots in interpreting variety by environment interactions." Journal of Agricultural Science, 103, 123-135.
(1984). "Analyse Statistique de la Contiguïté, Publ. de l'ISUP, XVIII, 81-112. | Zbl
(1969).Classification, analyse de contiguïté et plus proches voisins», Journées de Statistique XXVII, Nantes, Paris : ASU, 503-506.
(2001). «Alternative measures for fit for the Schnemann-Carroll matrix fitting algorithm." Psychometrika, 39, 423-427. | MR | Zbl
et (1974). "On the use of discriminant functions in taxonomy." Biometrics, 18, 455-477. | Zbl
(1962). "Non-additivity in two-way analysis of variance." Journal of the American Statistical Association, 56, 878-888. | MR | Zbl
(1961). "Matrix correlation." Psychometrika, 49, 403-423. | MR | Zbl
, , et (1984). "A very simple robust estimator for a dispersion matrix." Computational Statistics and Data Analysis, 2 1 , 463-473. | Zbl
(1996). "Probabilités, Analyse des Données et Statistique. Paris, Dunod. | Zbl
(1990).Multivariate process monitoring using the dynamic biplot." International Statistical Review, 65, 325-349. | Zbl
, et (1997). "Interpreting canonical correlation analysis through biplots of structure and weights." Psychometrika, 55, 519-532.
(1990). "Biplots in reduced rank regression." Biometrical Journal, 8, 983-1003. | Zbl
(1994). "Theory and Methods of Scaling. New York : Wiley.
(1958).Modeling temperature data : An illustration of the use of biplots and bimodels in non-linear modeling." Journal of Applied Meteorology, 23, 787-799.
, et (1984), "One degree of freedom for non-additivity." Biometrics, 5, 232-242.
(1949). "The coefficient of variation biplot." Journal of Classification, 7, 41-56.
(1990). "Approche graphique en analyse de données». Journal de la Société Française de Statistique, 141, 5-40.
(2000). «Multiplicative interaction in generalised linear models." Biometrics 5 1 , 1017-32. | Zbl
(1995). "Modern Applied Statistics, 3e édition. New York : Springer. | Zbl
et (1999).A Robust Approach to Nonlinear Multivariate Analysis. Leiden, DSWO Press. | MR | Zbl
(1994).Nonlinear estimation by iterative least squares procedures." Research Papers in Statistics (F. N. David, ed.). New York, Wiley, pp. 411-444. | MR | Zbl
(1966). "Cross-validatory estimation of the number of components in factor and principal component analysis." Technometrics, 20, 397-405. | Zbl
(1976). "Cultivar evaluation and mega-environment investigation based on the GGE biplot." Crop Science, 40, 597-605.
, , et (2000). "