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The Stata Journal
Volume 5 Number 3: pp. 371-384



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Using density-distribution sunflower plots to explore bivariate relationships in dense data

William D. Dupont
Department of Biostatistics
Vanderbilt University School of Medicine
[email protected]
W. Dale Plummer, Jr.
Department of Biostatistics
Vanderbilt University School of Medicine
[email protected]
Abstract.   Density-distribution sunflower plots are used to display high-density bivariate data. They are useful for data where a conventional scatterplot is difficult to read due to overstriking of the plot symbol. The x–y plane is subdivided into a lattice of small, regular, hexagonal bins. These bins are divided into low-, medium-, and high-density groups. In low-density bins, the individual observations are plotted as in a conventional scatterplot. Medium- and high-density bins contain light and dark sunflowers, respectively. In a light sunflower, each petal represents one observation. In a dark sunflower, each petal represents a specific number of observations. The user can control the sizes and colors of the sunflowers. By selecting appropriate colors and sizes for the light and dark sunflowers, plots can be obtained that give both the overall sense of the data-density distribution, as well as the number of data points in any given region.
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