On the Asymptotic Equivalence of Two Ranking Methods for $K$-Sample Linear Rank Statistics
Koziol, James A. ; Reid, Nancy
Ann. Statist., Tome 5 (1977) no. 1, p. 1099-1106 / Harvested from Project Euclid
Two methods of ranking $K$ samples for rank tests comparing $K$ populations are considered. The first method ranks the $K$ samples jointly; the second ranks the $K$ samples pairwise. These procedures were first suggested by Dunn (1964), and Steel (1960), respectively. It is shown that both ranking procedures are asymptotically equivalent for rank-sum tests satisfying certain nonrestrictive conditions. The problem is formulated in terms of multiple comparisons, but is applicable to other nonparametric procedures based on $K$-sample rank statistics.
Publié le : 1977-11-14
Classification:  Nonparametric statistics,  linear rank tests,  multiple comparisons,  location,  scale,  asymptotic Pitman efficiency,  62G20,  62G10,  62E20
@article{1176343998,
     author = {Koziol, James A. and Reid, Nancy},
     title = {On the Asymptotic Equivalence of Two Ranking Methods for $K$-Sample Linear Rank Statistics},
     journal = {Ann. Statist.},
     volume = {5},
     number = {1},
     year = {1977},
     pages = { 1099-1106},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176343998}
}
Koziol, James A.; Reid, Nancy. On the Asymptotic Equivalence of Two Ranking Methods for $K$-Sample Linear Rank Statistics. Ann. Statist., Tome 5 (1977) no. 1, pp.  1099-1106. http://gdmltest.u-ga.fr/item/1176343998/