A statistical test based on a rank statistic. The Wilcoxon and Mann–Whitney tests (cf. Mann–Whitney test; Wilcoxon test) are examples of rank tests. Rank tests are invariant with respect to groups of transformations defined by continuous strictly-increasing functions. Hence they are invariant with respect to variations of the shift and scaling parameters. Moreover, in many problems of hypotheses testing the most-powerful invariant tests can be well approximated by rank tests.
|||J. Hájek, Z. Sidák, "Theory of rank tests" , Acad. Press (1967)|
|||E.L. Lehmann, "Testing statistical hypotheses" , Wiley (1986)|
Rank test. M.S. Nikulin (originator), Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Rank_test&oldid=18520