Visual analysis of multi-dimensional categorical data sets

Computer Graphics Forum

Volumn 32, Issue 8, 2013, Pages 158-169

  Broeksema, Bertjan ^a,b,c   Telea, Alexandru C ^b   Baudel, Thomas ^a  

^a IBM   (France)

^b UNIVERSITY OF GRONINGEN   (Netherlands)

^c UNIVERSITÉ DE BORDEAUX   (France)

Author keywords

categorical data; dimensionality reduction; exploratory analysis; I.3 Computer Graphics :; Interaction techniques; I.3.8 Applications; multivariate data

Indexed keywords

COMPUTER GRAPHICS; FORESTRY; GRAPHIC METHODS; REDUCTION; STATISTICS;

CATEGORICAL DATA; DIMENSIONALITY REDUCTION; EXPLORATORY ANALYSIS; INTERACTION TECHNIQUES; MULTIVARIATE DATA;

DATA REDUCTION;

EID: 84890908094     PISSN: 01677055     EISSN: 14678659     Source Type: Journal    
DOI: 10.1111/cgf.12194     Document Type: Article

References (36)

1. Abdi H.,: Singular value decomposition and generalized singular value decomposition. In Encyclopedia of Measurement and Statistics. SAGE Publications, Inc., Thousand Oaks, CA, USA (2007), pp. 907-912.
2. Alsallakh B., Gröller E., Miksch S., Suntinger M.,: Contingency wheel: Visual analysis of large contingency tables. In Proceedings of EuroVA (Bergen, Norway, 2011), pp. 53-56.
3. Abdi H., Valentin D.,: Multiple correspondence analysis. In Encyclopedia of Measurement and Statistics. SAGE Publications, Inc., Thousand Oaks, CA, USA (2007), pp. 651-657.
4. a], Abdi H., Williams L.,: Correspondence analysis. In Encyclopedia of Research Design. SAGE Publications, Inc., Thousand Oaks, CA, USA (2010), pp. 267-278.
5. b], Abdi H., Williams L. J.,: Principal component analysis. Wiley Interdisciplinary Reviews: Computational Statistics 2 (2010), 433-459.
6. Benzecri J. P., Bellier L.,: L'analyse des données (2nd edition). Dunod Paris, France, 1976.
7. Bertin J.,: La graphique et le traitement graphique de l'information. Flammarion, Paris, France, 1977.
8. Borg I., Groenen P.,: Modern Multidimensional Scaling: Theory and Applications. Springer, New York, NY, USA, 2005.
9. Brewer C., Harrower M.,: Color Brewer 2.0. http://colorbrewer2.org, December 2011.
10. Bourdieu P.,: La distinction, critique sociale du jugement. Editions de Minuit, Paris, France, 1979.
11. eme serie). Gauthier-Villars, Paris, France, 1829.
12. Frank A., Asuncion A.,: UCI machine learning repository. http://archive.ics.uci.edu/ml, Accessed on February 2012.
13. Feiner S., Beshers C.,: Worlds within worlds: Metaphors for exploring n-dimensional virtual worlds. In Proceedings of UIST (Snowbird, UT, USA, 1990), ACM, pp. 76-83.
14. Fernstad S. J., Johansson J.,: A task based performance evaluation of visualization approaches for categorical data analysis. In Proceedings of Information Visualisation (London, UK, 2011), IEEE, pp. 80-89.
15. Fodor I.,: A Survey of Dimension Reduction Techniques. Tech. Rep., Center for Applied Scientific Computing, LLNL, 2002.
16. Friendly M.,: Mosaic displays for multi-way contingency tables. Journal of the American Statistical Association 89, 425 (1994), 190-200.
17. Friendly M.,: Extending mosaic displays: Marginal, conditional, and partial views of categorical data. Journal of Computational and Graphical Statistics 8 (1999), 373-395.
18. a], Friendly M.,: Visualizing Categorical Data. Statistics and Applications Series. SAS Institute, Cary, NC, USA, 2000.
19. b], Friendly M.,: Visualizing categorical data: Data, stories, and pictures. In Proceedings of SAS User Group Conference (Indianapolis, IN, USA, 2000).
20. Gabriel K.,: The biplot graphic display of matrices with application to principal component analysis. Biometrika 58, 3 (1971), 453-467.
21. Greenacre M.,: Correspondence Analysis in Practice. CRC Press, London, UK, 2007.
22. Hirschfeld H. O.,: A connection between correlation and contingency. Mathematical Proceedings of the Cambridge Philosophical Society 31 (1935), 520-524.
23. Hotteling H.,: Analysis of a complex of statistical variables into principal components. Journal of Educational Psychology 25 (1933), 417-441.
24. Inselberg A.,: Multidimensional detective. In Proceedings of Infovis (Phoenix, AZ, USA, 1997), IEEE, pp. 100-107.
25. Johansson S., Jern M., Johansson J.,: Interactive quantification of categorical variables in mixed data sets. In Proceedings of Information Visualization (Columbus, OH, USA, 2008), IEEE, pp. 3-10.
26. Johnson B., Shneiderman B.,: Treemaps: A space-filling approach to the visualization of hierarchical information structures. In Proceedings of Infovis (San Diego, CA, USA 1991), IEEE, pp. 284-291.
27. Kosara R., Bendix F., Hauser H.,: Parallel sets: Interactive exploration and visual analysis of categorical data. IEEE Transactions on Visualization and Computer Graphics 12, 4 (2006), 558-568.
28. Kolatch E., Weinstein B.,: Cattrees: Dynamic visualization of categorical data using treemaps. http://www.cs.umd.edu/class/spring2001/cmsc838b/Project/ Kolatch-Weinstein/index.html, 2001.
29. Oeltze S., Doleisch H., Hauser H., Muigg P., Preim B.,: Interactive visual analysis of perfusion data. IEEE Transactions on Visualization and Computer Graphics 13, 6 (2007), 1392-1399.
30. Pearson K.,: On lines and planes of closest fit to systems of points in space. Philosophical Magazine 6 (1901), 559-572.
31. Paulovich F., Nonato G., Minghim R., Levkowitz H.,: Least square projection: A fast high-precision multidimensional projection technique and its application to document mapping. IEEE Transactions on Visualization and Computer Graphics 14, 3 (2008), 564-575.
32. Rao R., Card S. K.,: The table lens: Merging graphical and symbolic representations in an interactive focus + context visualization for tabular information. In Proceedings of ACM CHI (Boston, MA, USA, 1994), pp. 318-322.
33. Turkay C., Lundervold A., Lundervold A., Hauser H.,: Representative factor generation for the interactive visual analysis of high-dimensional data. IEEE Transactions on Visualization and Computer Graphics 18, 12 (2012), 2621-2630.
34. Telea A., van Wijk J. J.,: Visualization of generalized Voronoi diagrams. In Proceedings of VisSym (Ascona, Switzerland, 2001), pp. 324-332.
35. Tenenhaus M., Young F.,: An analysis and synthesis of multiple correspondence analysis, optimal scaling, dual scaling, homogeneity analysis and other methods for quantifying categorical multivariate data. Psychometrika 50, 1 (1985), 91-119.
36. Zhicheng L., Stasko J., Sullivan T.,: Selltrend: Inter-attribute visual analysis of temporal transaction data. IEEE Transactions on Visualization and Computer Graphics 15, 6 (November-December 2009), 1025-1032.