Share and Export
Share and Export
Hurley, Catherine B. and Oldfield, R.W. (2010) Pairwise display of high dimensional information via Eulerian tours and Hamiltonian decompositions. Journal of Computational and Graphical Statistics, 19 (4). pp. 861-886. ISSN 1061-8600
Preview
CH-Pairwise-Display.pdf
Download (978kB) | Preview
Abstract
A graph theoretic approach is taken to the component order problem in the layout
of statistical graphics. Eulerian tours and Hamiltonian decompositions of complete
graphs are used to ameliorate order effects in statistical graphics. Similar traversals of
edge weighted graphs are used to amplify the visual effect of selected salient features
in the data. Relevant graph theory is summarized and classic algorithms are tailored
to this problem. Graphics for multiple comparisons are reviewed and a new display
developed that is based on graph traversal. Improved star glyph displays of multivariate
data are described. Parallel coordinate displays tailored to particular features of the
data are developed. The methods and new graphical displays are made available as an
R package, PairViz.
| Item Type: | Article |
|---|---|
| Additional Information: | Preprint version of published article, which is available at DOI: 10.1198/jcgs.2010.09136 . C.B. Hurley's research supported in part by a Research Frontiers Grant from Science Foundation Ireland. R.W. Oldfield's research supported in part by a Discovery Grant from the Natural Sciences and Engineering Research Council of Canada. |
| Keywords: | Complete graph; Cycle decompositions; Graph decomposition; Graph traversal algorithms; Graphics layout; GrEul; Mean–mean plots; Multiple comparisons; PairViz R package; Parallel coordinates; Scagnostics; Seriation; Star glyphs; Visual clustering; Weighted graph; WHam; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 5552 |
| Identification Number: | 10.1198/jcgs.2010.09136 |
| Depositing User: | Dr. Catherine Hurley |
| Date Deposited: | 17 Nov 2014 15:30 |
| Journal or Publication Title: | Journal of Computational and Graphical Statistics |
| Publisher: | American Statistical Association |
| Refereed: | Yes |
| Funders: | Science Foundation Ireland, Natural Sciences and Engineering Research Council of Canada |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/5552 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
Repository Staff Only (login required)
- Item control page
Downloads
Downloads per month over past year
