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Andrews' Plots for Extended Uses

  • Published : 2008.01.31

Abstract

Andrews (1972) proposed to combine trigonometric functions to represent n observations of p variates, where the coefficients in linear sums are taken from the values of corresponding observation's respective variates. By viewing Andrews' plot as a collection of n trajectories of p-dimensional objects (observations) as a weighting point loaded with dimensional weights moves along a certain path on the hyper-dimensional sphere, we develop graphical techniques for further uses in data visualization. Specifically, we show that the parallel coordinate plot is a special case of Andrews' plot and we demonstrate the versatility of Andrews' plot with a projection pursuit engine.

Keywords

References

  1. Andrews, D. F. (1972). Plots of high-dimensional data. Biometrics, 28, 125-136 https://doi.org/10.2307/2528964
  2. Cook, D. and Swayne, D. F. (2007). Interactive and Dynamic Graphics for Data Analysis: With R and GGobi. Springer, New York
  3. Embrechts, P. and Herzberg, A. M. (1991). Variations of Andrews' plot. International Statistical Review, 59, 175-194 https://doi.org/10.2307/1403442
  4. Huh, M. H. and Park, D. Y. (2008). Enhancing parallel coordinates plots. To appear in Journal of the Korean Statistical Society
  5. Unwin, A. Theus, M. and Hofmann, H. (2006). Graphics of Large Datasets: Visualizing a Million. Springer, New York