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Augmented convex hull plots: Rationale, implementation in R and biomedical applications.
1University of Ljubljana, Faculty of Medicine, Institute of Biomedical Informatics, Ljubljana, Slovenia. gaj.vidmar@mf.uni-lj.si
Computer Methods and Programs in Biomedicine
|March 23, 2005
Summary
Augmented convex hull plots offer a space-saving alternative to cluttered scatter-plots, enabling visualization of statistics within hulls. This method enhances data representation and analysis for complex datasets.
Area of Science:
- Statistics and Data Visualization
Background:
- Multi-group scatter-plots can become cluttered, hindering effective data visualization.
- Existing software has limited options for advanced plot types.
Purpose of the Study:
- To introduce augmented convex hull plots as an alternative to cluttered scatter-plots.
- To present a flexible R implementation for generating these plots.
Main Methods:
- Replacing scatter-plot points with convex hulls to create space.
- Incorporating descriptive statistics, error bars, and confidence ellipses within hulls.
- Calculating a bivariate dispersion measure using convex hull area and group size.
Main Results:
- Augmented convex hull plots provide enhanced visualization space for statistical information.
- A new R function, chplot, offers a flexible implementation for creating these plots.
- The method is adaptable to derived data from dimension reduction techniques or functional axes.
Conclusions:
- Augmented convex hull plots offer a valuable improvement over traditional scatter-plots for multi-group data.
- The chplot function in R provides a practical tool for implementing this visualization technique in biostatistical practice.
