The bagplot: A bivariate boxplot

American Statistician

Volumn 53, Issue 4, 1999, Pages 382-387

  Rousseeuw, Peter J ^a   Ruts, Ida ^a   Tukey, John W ^b  

^a UNIVERSITY OF ANTWERP   (Belgium)

^b PRINCETON UNIVERSITY   (United States)

Author keywords

Algorithms; Depth contours; Graphical display; Location depth; Ranks

Indexed keywords

EID: 0033481728     PISSN: 00031305     EISSN: 15372731     Source Type: Journal    
DOI: 10.1080/00031305.1999.10474494     Document Type: Article

References (24)

1. Becketti, S., and Gould, W. (1987), “Rangefinder Box Plots,” The American Statistician, 41, 149.
2. Chambers, J. M., and Hastie, T. J. (1993), Statistical Models in S, London: Chapman and Hall.
3. Donoho, D. L., and Gasko, M. (1992), “Breakdown Properties of Location Estimates Based on Halfspace Depth and Projected Outlyingness,” The Annals of Statistics, 20, 1803-1827.
4. Eddy, W. F. (1985), “Ordering of Multivariate Data,” in Computer Science and Statistics: Proceedings of the 16th Symposium on the Interface, ed. L. Billard, Amsterdam: North-Holland, pp. 25-30.
5. Goldberg, K. M., and Iglewicz, B. (1992), “Bivariate Extensions of the Boxplot,” Technometrics, 34, 307-320.
6. Green, P. J. (1985), “Peeling Data,” in Encyclopedia of Statistical Sciences (Vol. 6), eds. S. Kotz and N. Johnson, New York: Wiley, pp. 660-664.
7. Gutiérrez, D., and Menéndez, R. (1995), “Distribution and Abundance of Butterflies in a Mountain Area in the Northern Iberian Peninsula,” Ecography, 18, 209-216.
8. Hand, D. J., Daly, F., Lunn, A. D., McConway, K. J., and Ostrowski, E. (1994), A Handbook of Small Data Sets, London: Chapman and Hall.
9. Hyndman, R. J. (1996), “Computing and Graphing Highest Density Regions,” The American Statistician, 50, 120-126.
10. Johnson, T., Kwok, I., and Ng, R. (1998), “Fast Computation of 2 Dimensional Depth Contours,” Technical Report, AT&T Research Center, Florham Park, NJ.
11. Lenth, R. (1988), Comment on “Rangefinder Box Plots” by S. Becketti and W. Gould (with reply by Becketti), The American Statistician, 42, 87-88.
12. Liu R. Y., Parelius, J. M., and Singh, K. (in press), “Multivariate Analysis by Data Depth: Descriptive Statistics, Graphics and Inference,” Annals of Statistics.
13. McGill, R., Tukey, J. W., and Larsen, W. A. (1978), “Variations of Box Plots,” The American Statistician, 32, 12-16.
14. Romanazzi, M. (1997), “A Schematic Plot for Bivariate Data,” Student, 2, 149-158.
15. Rousseeuw, P. J. (1984), “Least Median of Squares Regression,” Journal of the American Statistical Association, 79, 871-880.
16. Rousseeuw, P. J., and Ruts, I. (1996), “AS 307: Bivariate Location Depth,” Applied Statistics (JRSS-C), 45, 516-526.
17. Rousseeuw, P. J. (1997), “The Bagplot: A Bivariate Box-and-Whiskers Plot,” Technical Report, Universitaire Instelling Antwerpen, Belgium. Available at http://winwww.uia.ac.be/u/statis/.
18. Rousseeuw, P. J. (1998), “Constructing the Bivariate Tukey Median,” Statistica Sinica, 8, 827-839.
19. Rousseeuw, P. J., Van Aelst, S., and Hubert, M. (1999), “Rejoinder to the Discussion of Regression Depth,” Journal of the American Statistical Association, 94, 419-433.
20. Ruts, I., and Rousseeuw, P. J. (1996), “Computing Depth Contours of Bivariate Point Clouds,” Computational Statistics and Data Analysis, 23, 153-168.
21. Struyf, A., and Rousseeuw, P. J. (in press), “High-Dimensional Computation of the Deepest Location,” Computational Statistics and Data Analysis.
22. Tukey, J. W. (1975), “Mathematics and the Picturing of Data,” Proceedings of the International Congress of Mathematicians, 2, 523-531.
23. Tukey, J. W. (1977), Exploratory Data Analysis, Reading, MA: Addison-Wesley.
24. Zani, S., Riani, M., and Corbellini, A. (1998), “Robust Bivariate Boxplots and Multiple Outlier Detection,” Computational Statistics and Data Analysis, 28, 257-270.