Acta Oeconomica Pragensia 2007, 15(1):97-113 | DOI: 10.18267/j.aop.43

Visual Analysis of Multivatiate Data

Miroslav Plašil, Petr Vlach
Ing. Miroslav Plašil - doktorand; Katedra statistiky a pravděpodobnosti, Fakulta informatiky a statistiky, VŠE v Praze.
Ing. Petr Vlach - doktorand, Katedra statistiky a pravděpodobnosti, Fakulta informatiky a statistiky, VŠE v Praze, vlach@vse.cz .

The article presents and investigates new possibilities of multivariate data visualization and their analytical convenience. We demonstrate elementary principles, algorithms and graphical outputs of modern visualization methods with particular focus on Bertin matrices, RADVIZ, Projection pursuit and parallel coordinates. Illustrative examples show their practical implementation into the process of multivariate data analysis, hence providing the reader with an idea of the wide range of their application.

Keywords: multivariate data visualization, Bertin matrix, RADVIZ, Projection pursuit, parallel coordinates
JEL classification: C61, C81, C88

Published: February 1, 2007  Show citation

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Plašil, M., & Vlach, P. (2007). Visual Analysis of Multivatiate Data. Acta Oeconomica Pragensia, 15(1), 97-113. doi: 10.18267/j.aop.43
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    References

    1. BENZÉCRI, J.-P., 1973: L'analyse des données. 1973, Vol. 2, Paris, Dunod.
    2. BERTIN, J., 1967: Sémiologie Graphique. Les diagrammes, les réseaux, les partes. Paris, La Haye, Mouton, Gauthier-Villars, 1967.
    3. BRUNSDON, C. - FOTHERINGAM, A. S. - CHARLTON, M. E., 1999: An Investigation of Methods for Visualizing Highly Multivariate Datasets. Advisory Group of Computer Graphics.
    4. De FALGUEROLLES, A. - FRIEDRICH, F. - SAWITZKI, G., 1973: A Tribute to J. Bertin's Graphical Data Analysis. Advances in Statistical Software, Stuttgart, Lucius and Lucius, 1973, s.11-20.
    5. FRIEDMAN, J. H. - TUKEY, J. W., 1974: A projection pursuit algorithm for exploratory data analysis. IEEE Trans. Comput., C23 (9), 1974, s. 881-890. Go to original source...
    6. HOLLAND, J. H., 1992: Adaption in Natural and Artificial Systems 5th edition. MIT Press, 1992. Go to original source...
    7. HODGES, J. L. - LEHMANN, E. L., 1956: The efficiency of some nonparametric competitors of the t-test. Ann. Math. Statist., 1956, roč. 27, s. 324-335. Go to original source...
    8. HUBER, P. J., 1985: Projection Pursuit. The Annals of Statistics, 1985, roč. 13, č. 2. Go to original source...
    9. JONES, M. C. - SIBSON, R., 1987: What is projection pursuit? (with discussion). J. R. Statistical Society, 1987, roč. 150, s. 1-36. Go to original source...
    10. KRUSKAL, J. B., 1969: Toward a practical method which helps uncover the structure of a set of multivariate observations by finding the linear transformation which optimizes a new 'index of condensation '. New York, R. C. Milton and J. A. Nelder Statistical Computation Academic Press, 1969. Go to original source...
    11. KRUSKAL, J. B., 1972: Linear transformations of multivariate data to reveal clustering. In Seminar Press: Multidimensional Scaling: Theory and Application in the Behavioural Sciences I, 1972.
    12. KVASNIČKA, V. - POSPÍCHAL, J. - TIŇO, P., 2000: Evolúčne algoritmy, Bratislava, STU, 2000.
    13. NASON, G. P., 1992: Design and choice of projection indices. Thesis, Univ. of Bath, 2000.
    14. NIERMANN, S., 2005: Optimizing the Ordering of Tables With Evolutionary Computation. The American Statistician, 2005, roč. 5, s. 41-46. Go to original source...
    15. PLAŠIL, M. - VLACH, P., 2005: Visualization of Multivariate Data. AMSE 2006 - 8th International Scientific Conference "Applications of Mathematics and Statistics in Economy", Wroclaw, Wroclaw University of Economics, 2005.
    16. PLAŠIL, M. - VLACH, P., 2006: Možnosti grafického zpracování dat. Sborník prací účastníků vědeckého semináře doktorského studia, Praha, Fakulta informatiky a statistiky Vysoké školy ekonomické, 2006, s. 176-186.
    17. RENCHER, A. 2002: Methods of Multivariate Analysis 2nd edition, New York, Wiley-Interscience, 2002. Go to original source...
    18. RÉNYI, A., 1964: Probability Theory. Amsterdam, North-Holland, 1964.
    19. SWITZER, P., 1970: Numerical Classification. Geostatistics, 1970. Go to original source...

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