Multivariate generalizations of the Wald-Wolfowitz runs statistic and the Smirnov maximum deviation statistic for the two-sample problem are presented. They are based on the minimal spanning tree of the pooled sample points. Some null distribution results are derived and a simulation study of power is reported.
@article{1176344722,
author = {Friedman, Jerome H. and Rafsky, Lawrence C.},
title = {Multivariate Generalizations of the Wald-Wolfowitz and Smirnov Two-Sample Tests},
journal = {Ann. Statist.},
volume = {7},
number = {1},
year = {1979},
pages = { 697-717},
language = {en},
url = {http://dml.mathdoc.fr/item/1176344722}
}
Friedman, Jerome H.; Rafsky, Lawrence C. Multivariate Generalizations of the Wald-Wolfowitz and Smirnov Two-Sample Tests. Ann. Statist., Tome 7 (1979) no. 1, pp. 697-717. http://gdmltest.u-ga.fr/item/1176344722/