Application de l'analyse en composantes principales à trois modes pour l'étude physico-chimique d'un écosystème lacustre d'altitude : perspectives en écologie
Revue de Statistique Appliquée, Volume 40 (1992) no. 1, p. 37-56
@article{RSA_1992__40_1_37_0,
     author = {Beffy, J. L.},
     title = {Application de l'analyse en composantes principales \`a trois modes pour l'\'etude physico-chimique d'un \'ecosyst\`eme lacustre d'altitude : perspectives en \'ecologie},
     journal = {Revue de Statistique Appliqu\'ee},
     publisher = {Soci\'et\'e de Statistique de France},
     volume = {40},
     number = {1},
     year = {1992},
     pages = {37-56},
     language = {fr},
     url = {http://www.numdam.org/item/RSA_1992__40_1_37_0}
}
Beffy, J. L. Application de l'analyse en composantes principales à trois modes pour l'étude physico-chimique d'un écosystème lacustre d'altitude : perspectives en écologie. Revue de Statistique Appliquée, Volume 40 (1992) no. 1, pp. 37-56. http://www.numdam.org/item/RSA_1992__40_1_37_0/

Aubigny (D') G. & Polit E. (1989). Some optimality properties of the generalization of the TUCKER method to the analysis of n-way tables with specified metrics. In R. Coppi & S. Bolasco (Eds.), Multiway data analysis. Amsterdam, Elsevier, 39-52. | MR 1088951

Basford K.E., Kroonenberg P.M., Delacy I.H. & Lawrence P.K. (1990). Multiattribute evaluation of regional cotton variety trials. Theor. Appl. Genet., 79, 225-234.

Bove G. & DI Ciaccio A. (1989). Comparisons among three factorial methods for analysing three-mode data. In R. Coppi & S. Bolasco (Eds.), Multiway data analysis. Amsterdam, Elsevier, 103-113. | MR 1088948

Carlier A., Lavit C.H., Pages M., Pernin M.O. & Turlot J.C. (1989). A comparative review of methods which handle a set of indexed data tables. In R. Coppi & S. Bolasco (Eds.), Multiway data analysis. Amsterdam, Elsevier, 85-102. | MR 1088948

Centofanti M., Chessel D. & Doledec S. (1989). Stabilité d'une structure spatiale et compromis d'une analyse statistique multitableaux : application à la physico-chimie d'un lac réservoir. Rev. Sci. Eau, 2, 71-93.

Chacornac J.M. (1986). Lacs d'altitude : métabolisme oligotrophe et approche typologique des écosystèmes. Thèse de Doctorat, Univ. Lyon I, 214 pp.

Digby P.G.N. & Kempton R.A. (1987). Multivariate analysis of ecological communities. Chapman & Hall, London, 206 pp.

Doledec S. (1988). Les analyses multitableaux en écologie factorielle. II. Stratification longitudinale de l'Ardèche à partir de descripteurs physico-chimiques. Acta Œcol., Œcol. Gener., 9, 2, 119-135.

Escoufier Y., Bernard M.C., Lavit C., Foucart T., Barre A., Fichet B., Carlier A. & Lafaye J.Y. (1985). Comparaison d'analyse de tableaux à trois dimensions à partir d'un exemple. Statistique et Analyse des données, 10, 1, 1-116.

Esopo (D') D. (1959). A convex programming procedure. Naval Research Logis-tics Quarterly, 11, 33-42. | MR 104520

Gould P. (1981). Letting the data speak for themselves. Annals of the Association of American Geographers, 71, 166-176.

Harshman, R.A. (1970). Foundations of the PARAFAC procedure : Models and conditions for an "explanatory" multi-mode factor analysis. UCLA Working Papers in Phonetics, 16, 1-84.

Harshman, R.A. (1972). PARAFAC2 : Mathematical and technical notes. UCLA Working Papers in Phonetics, 22, 31-44(a).

Hattie J.A., Mcdonald R.P., Snyder C.W. & Law H.G. (1984). Issues and perspectives in multimode analysis. In H.G. Law, C.W. Snyder, J.A. Hattie and R.P. McDonald (Eds.), Research Methods for multimode data analysis, New-York, Praeger, 555-564.

Hohn, M.E. & Friberg L.M. (1979). A generalized principal components model in petrology. Lithos, 12, 317-324.

Jongman R.H.G., Ter Braak C.J.F. & Tongeren O.F.R. (1987). Data analysis in community and landscape ecology. Pudoc Wageningen, Pays-Bas, 299 pp.

Kapteyn A., Neudecker H. & Wansbeek T. (1984). An approach to n-mode components analysis. Psychometrika, 51, 2, 269-275. | MR 848108 | Zbl 0613.62078

Kiers H.A.L. (1988a). Hierarchical relations between three-way methods. Communication aux "XXèmes Journées de Statistiques", Grenoble, 30 mai - 2 juin 1988.

Kiers H.A.L. (1988b). Comparison of "Anglo-Saxon" and "French" three-mode methods. Statistique et Analyse des Données, 13, 14-32.

Kroonenberg P.M. (1983a). Annotated bibliography of three-mode factor analysis. British Journal of Mathematical and Statistical Psychology, 36, 81-113. | MR 785433 | Zbl 0513.62059

Kroonenberg P.M. (1983b). Three-mode principal component analysis. DSWO Press, Leiden, 398 pp.

Kroonenberg P.M. (1984). Three-mode principal component analysis : illustrated with an example from attachment theory. In H.G. Law, C.W. Snyder, J.A. Hattie and R.P. McDonald (Eds.), Research Methods for multimode data analysis, New-York, Praeger, 64-103.

Kroonenberg P.M. (1987). Multivariate and longitudinal data on growing children. Solutions using a three-mode principal component analysis and some comparison results with other approaches. In J. Janssen, F. Marcotorchino & J.M. Proth (Eds.), Data Analysis. The ins and outs of solving real problems, New-York: Plenum, 89-112.

Kroonenberg P.M. (1989). The analysis of multiple tables in factorial ecology. III. Three-mode principal component analysis : "Analyse triadique complète" . Acta Œcol., Œcol. Gener., 10, 245-256.

Kroonenberg P.M. & Brouwer P. (1985). User's guide to TUCKALS3. Version 4.0. Department of Education, Leiden University, Pays-Bas.

Kroonenberg P.M. & De Leeuw J. (1980). Principal component analysis of three-mode data by means of alternating least squares algorithms. Psychometrika, 45, 69-97. | MR 570771 | Zbl 0431.62035

Lavit C.H. (1988). Analyse conjointe de tableaux quantitatifs. Paris, Masson, 253 pp.

Levin J. (1965). Three-mode factor analysis. Psychological Bulletin, 64, 6, 442-452.

Penrose R. (1955). On the best approximate solutions of linear matrix equations. Proceedings of the Cambridge Philosophical Society, 51, 406-413.

Polit E. (1986). Une n-ACP d'un hypercube de données. Thèse de Doctorat, Univ. des Sciences Sociales de Grenoble.

Rychlak J.F. (1981). A Philosophy of Science for Personality Theory. 2nd ed. Malabar, Fla.: Krieger.

Rutishauser H. (1969). Computational aspects of F.L. Bauer's simultaneous iteration method. Numerische Mathematik, 13, 4-13. | MR 243730 | Zbl 0182.21304

Snyder C.W., Law H.G. & Hattie J.A. (1984). Overview of multimode analytic methods. In H.G. Law, C.W. Snyder, J.A. Hattie and R.P. McDonald (Eds.), Research Methods for multimode data analysis, New-York, Praeger, 2-35.

Ten Berge J.M.F., de Leeuw J. & Kroonenberg P.M. (1987). Some additional results on principal components analysis of three-mode data by means of altemating least squares algorithms. Psychometrika, 52, 2, 183-191. | MR 903417 | Zbl 0647.62053

Thioulouse J. & Chessel D. (1987). Les analyses multitableaux en écologie factorielle. I. De la typologie d'état à la typologie de fonctionnement par l'analyse triadique. Acta Œcol., Œcol. Gener., 8, 4, 463-480.

Tucker, L.R. (1963). Implications of factor analysis of three-way matrices for measurement of change. In C.W. Harris (Ed.), Problems in measuring change, Madison: University of Wisconsin Press, 122-137.

Tucker, L.R. (1964). The extension of factor analysis to three-dimensional matrices. In H. Gullikson and N. Frederiksen (eds.), Contributions to mathematical psychology, New-York: Holt, Rinehart and Winston, 110-119.

Tucker, L.R. (1966). Some mathematical notes on three-mode factor analysis. Psychometrika, 31, 3, 279-311. | MR 205395

Van Der Kloot W.A. & Kroonenberg P.M. (1985). Extemal analysis with three-mode principal component models. Psychometrika, 50, 4, 479-494.