Corpus ID: 13929937

Geometry of rank tests

@inproceedings{Morton2006GeometryOR,
  title={Geometry of rank tests},
  author={J. Morton and L. Pachter and Anne Shiu and B. Sturmfels and Oliver Wienand},
  booktitle={Probabilistic Graphical Models},
  year={2006}
}

J. Morton, L. Pachter, +2 authors Oliver Wienand

Published in

Probabilistic Graphical…

2006

Mathematics, Computer Science

We study partitions of the symmetric group which have desirable geometric properties. The statistical tests defined by such partitions involve counting all permutations in the equivalence classes. These permutations are the linear extensions of partially ordered sets specified by the data. Our methods refine rank tests of non-parametric statistics, such as the sign test and the runs test, and are useful for the exploratory analysis of ordinal data. Convex rank tests correspond to probabilistic… CONTINUE READING

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