The Swallow-tail Plot: a Simple Graph for Visualizing Bivariate Data
DOI:
https://doi.org/10.6092/issn.1973-2201/4993Keywords:
correlation coefficient, angular representation, bivariate plotAbstract
We suggest a new plot for bivariate data based on the angular display of two standardized vectors. This graph shows at a glance the sign and the magnitude of the correlation and the possible univariate or bivariate outliers by means of the orientation of the axes and the shape of the tails. It may be useful as an alternative visual criterion that may be added to the traditional methods. Furthermore we propose the extension to more than two variables through a swallow-tail plot matrix.References
W. S. CLEVELAND, R. I. MCGILL (1984). The many faces of a scatterplot. Journal of the American Statistical Association, 79, no. 388, pp. 807–822.
J. W. EMERSON, W. A. GREEN, B. SCHLOERKE (2013). The generalized pairs plot. Journal of Computational and Graphical Statistics, 22, no. 1, pp. 79–91.
EUROSTAT (2013). Europe in figures - Eurostat yearbook. Eurostat. URL http://ec.europa.eu/eurostat.
M. FRIENDLY (2002). Corrgrams: Exploratory displays for correlation matrices. The American Statistician, 56, no. 4, pp. 316–324.
J. GRAFFELMAN (2013). Linear-angle correlation plots: New graph for revealing correlation structure. Journal of Computational and Graphical Statistics, 22, no. 1, pp. 92–106.
D. J. HAND, K. MCCONWAY, E. OSTROWSKI (1994). A Handbook of Small Data Sets. Chapmann and Hall, New York.
A. INSELBERG (2009). Parallel Coordinates: Visual Multidimensional Geometry and its Applications. Springer-Verlag, New York.
J. L. RODGERS, W. A. NICEWANDER (1988). Thirteen ways to look at the correlation coefficient. The American Statistician, 44, no. 2, pp. 59–66.
P. J. ROUSSEEUW, I. RUTS, J. W. TUKEY (1999). The bagplot: A bivariate boxplot. The American Statistician, 53, no. 4, pp. 382–387.
M. W. TROSSET (2005). Visualizing correlation. Journal of Computational and Graphical Statistics, 14, no. 1, pp. 1–19.
S. ZANI, M. RIANI, A. CORBELLINI (1998). Robust bivariate boxplots and multiple outlier detection. Computational Statistics and Data Analysis, 28, no. 3, pp. 257–270.
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