Optimal representation of supplementary variables in biplots from principal component analysis and correspondence analysis

Biometrical Journal

Volumn 45, Issue 4, 2003, Pages 491-509

  Graffelman, Jan ^a   Aluja Banet, Tomàs ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Additional variable; Conditional biplot; Environmental variable; Indirect gradient analysis; Passive sample; Passive variable; Supplementary point

Indexed keywords

ADDITIONAL VARIABLE; BIPLOTS; CONDITIONAL BIPLOT; ENVIRONMENTAL VARIABLES; GRADIENT ANALYSIS; INDIRECT GRADIENT ANALYSE; PASSIVE SAMPLE; PASSIVE VARIABLE; SUPPLEMENTARY POINTS; SUPPLEMENTARY VARIABLES;

PRINCIPAL COMPONENT ANALYSIS;

EID: 0037669803     PISSN: 03233847     EISSN: None     Source Type: Journal    
DOI: 10.1002/bimj.200390027     Document Type: Review

References (23)

1. BENZÉCRI, J. P., 1973: Analyse des Données. Dunod, Paris.
2. DARGIE, T. C. D., 1984: On the integrated interpretation of indirect site ordinations: a case study using semi-arid vegetation in southeastern Spain. Vegetatio, 55, 37-55.
3. DILLON, W. R. and GOLDSTEIN, M., 1984: Multivariate Analysis Methods and Applications. John Wiley & Sons, New York.
4. GABRIEL, K. R., 1971: The biplot graphic display of matrices with application to principal component analysis. Biometrika, 58(3), 453-467.
5. GABRIEL, K. R., 1982: Biplot. In KOTZ, S. and JOHNSON, N. L., editors, Encyclopedia of Statistical Sciences, volume 1, 263-271, Wiley, New York.
6. GABRIEL, K. R., 1995a: Biplot display of multivariate categorical data, with comments on multiple correspondence analysis. In KRZANOWSKI, W. J., editor, Recent Advances in Descriptive Multivariate Analysis, 190-226.
7. GABRIEL, K. R., 1995b: Manova biplots for two-way contingency tables. In KRZANOWSKI, W. J., editor, Recent Advances in Descriptive Multivariate Analysis, 227-268.
8. GABRIEL, K. R. and ODOROFF., C. L., 1990: Biplots in biomedical research. Statistics in Medicine, 9(5), 469-485.
9. GIFI, A., 1981: Nonlinear Multivariate Analysis. John Wiley.
10. GRAFFELMAN, J., 2000: Contributions to the Multivariate Analysis of Marine Environmental Monitoring Data: Methodological Aspects and Applications. PhD thesis, Universitat Politècnica de Catalunya.
11. GRAFFELMAN, J., 2001: Quality statistics in canonical correspondence analysis. Environmetrics, 12(5), 485-497.
12. GREENACRE, M. J., 1984: Theory and Applications of Correspondence Analysis. Academic Press.
13. GREENACRE, M. J., 1993a: Biplots in correspondence analysis. Journal of Applied Statistics, 20(2), 251-269.
14. GREENACRE, M. J., 1993b: Correspondence Analysis in Practice. Academic Press.
15. JOHNSON, R. A. and WICHERN, D. W., 2002: Applied Multivariate Statistical Analysis. New Jersey: Prentice Hall, fifth edition.
16. JOLLIFFE, I. T., 1986: Principal Component Analysis. Springer-Verlag, New York.
17. JONGMAN, R. H. G., TER BRAAK, C. J. F., and VAN TONGEREN, O. F. R., 1987: Data analysis in community and landscape ecology. Pudoc Wageningen.
18. KRZANOWSKI, W. J., 1995: Recent Advances in Descriptive Multivariate Analysis. Oxford University Press, New York.
19. MARDIA, K. V., KENT, J. T., and BIBBY, J. M., 1979: Multivariate Analysis. Academic Press London.
20. SAPORTA, G. 1990: Probabilités Analyse des Données et Statistique. Éditions technip, Paris.
21. TER BRAAK, C. J. F., 1985: Correspondence analysis of incidence and abundance data: Properties in terms of a unimodal response model. Biometrics, 41, 859-873.
22. TER BRAAK, C. J. F., 1986: Canonical correspondence analysis: a new eigenvector technique for multivariate direct gradient analysis. Ecology, 67(5), 1167-1179.
23. TER BRAAK, C. J. F. and PRENTICE, I. C., 1988: A theory of gradient analysis. Advances in Ecological Research, 18, 271-317.