THE LEPAGE LOCATION-SCALE TEST REVISITED

Marco Marozzi (Italy)

Received October 12, 2007

References:

[1] O. Cucconi, Un nuovo test non parametrico per il confronto tra due gruppi campionari, Giornale degli Economisti 27 (1968), 225-248. [2] B. S. Duran, W. S. Tsai and T. O. Lewis, A class of location-scale nonparametric tests, Biometrika 63 (1976), 173-176. [3] M. Hollander and D. A. Wolfe, Nonparametric Statistical Methods, 2nd ed., Wiley, New York, 1999. [4] Y. Lepage, A combination of Wilcoxon’s and Ansari-Bradley’s statistics, Biometrika 58 (1971), 213-217. [5] Y. Lepage, A table for a combined Wilcoxon Ansari-Bradley statistic, Biometrika 60 (1973), 113-116. [6] Y. Lepage, Asymptotically optimum rank tests for contiguous location and scale alternatives, Comm. Statist. Theory Methods 4 (1975), 671-687. [7] Y. Lepage, Asymptotic power efficiency for a location and scale problem, Comm. Statist. Theory Methods 5 (1976), 1257-1274. [8] Y. Lepage, A class of nonparametric tests for location and scale parameters, Comm. Statist. Theory Methods 6 (1977), 649-659. [9] M. Marozzi, A bi-aspect nonparametric test for the two-sample location problem, Comput. Statist. Data Anal. 44 (2004), 639-648. [10] C. R. Mehta, N. R. Patel and P. Senchauduri, Importance sampling for estimating exact probabilities in permutational inference, J. Amer. Statist. Assoc. 83 (1988), 999-1005. [11] M. Neuhäuser, An adaptive location-scale test, Biom. J. 43 (2001), 809-819. [12] F. Pesarin, Multivariate Permutation Tests with Applications in Biostatistics, Wiley, Chichester, 2001. [13] G. Wassmer, Basic concepts of group sequential and adaptive group sequential test procedures, Statist. Papers 41 (2000), 253-279.

Keywords and phrases: the location-scale problem, nonparametric methods, rank testing, permutation testing, nonparametric combination of tests.