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
    17 Citations
    Algorithms for Symbolic Computation and their Applications - Standard Bases over Rings and Rank Tests in Statistics
    • 12
    • PDF
    Three Counter-Examples on Semi-Graphoids
    • 16
    Three Counterexamples on Semi-graphoids
    • PDF
    Faces of Generalized Permutohedra
    • 238
    • PDF
    Three Counterexamples on Semigraphoids
    • 10
    • PDF
    C O ] 1 5 O ct 2 00 6 Three Counterexamples on Semigraphoids
    • PDF
    A quasisymmetric function for matroids
    • 56
    • PDF
    The mathematics of ranking
    • PDF
    On Minkowski Sums of Simplices
    • 8
    • PDF

    References

    SHOWING 1-10 OF 26 REFERENCES
    Counting linear extensions
    • 249
    Permutohedra, Associahedra, and Beyond
    • 380
    • Highly Influential
    • PDF
    Ascending And Descending Conditional Independence Relations
    • 44
    Cambrian Lattices
    • 151
    • PDF
    A Polytope Related to Empirical Distributions, Plane Trees, Parking Functions, and the Associahedron
    • 131
    • PDF
    Lectures on Polytopes
    • 3,045
    • PDF
    Towards classification of semigraphoids
    • F. Matús
    • Computer Science, Mathematics
    • Discret. Math.
    • 2004
    • 16
    Coxeter Complexes and Graph-Associahedra
    • 161
    • PDF
    Submodular functions and convexity
    • 903