The Geometry of Rank-Order Tests

Authors
Cook, Wade D. Seiford, Lawrence M.
Citation
D. Cook, Wade et M. Seiford, Lawrence, The Geometry of Rank-Order Tests, American statistician , 37(4A), 1983, pp. 307-311
Journal title
American statistician → ACNP
ISSN journal
00031305
Volume
37
Issue
4A
Year of publication
1983
Pages
307 - 311
Database
ACNP
SICI code
Abstract
This article examines the geometry of rank-order tests.We show that the set of rankings of n objects can be represented as the extreme points of a polyhedron determined by a set of linear constraints.Various rank-order statistics are interpreted via this geometric model.The model allows a unified presentation and illustrates the mechanics of rank-order tests.