Generating Data with Identical Statistics but Dissimilar Graphics

@article{Chatterjee2007GeneratingDW,
  title={Generating Data with Identical Statistics but Dissimilar Graphics},
  author={Sangit Chatterjee and Aykut Firat},
  journal={The American Statistician},
  year={2007},
  volume={61},
  pages={248 - 254}
}
The Anscombe dataset is popular for teaching the importance of graphics in data analysis. It consists of four datasets that have identical summary statistics (e.g., mean, standard deviation, and correlation) but dissimilar data graphics (scatterplots). In this article, we provide a general procedure to generate datasets with identical summary statistics but dissimilar graphics by using a genetic algorithm based approach. 
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