R. L. Anderson proposed a $\chi^2$-type rank statistic for the nonparametric analysis of a randomized blocks design. In this paper the asymptotic distribution of the test statistic is derived under a sequence of alternatives contiguous to the null hypothesis. Using Bahadur's concept of local approximate slope, it is shown that the test is optimal within a large class of rank tests including the tests proposed by Friedman and by Page. The results are extended to BIB designs. Ties are considered.
Publié le : 1979-05-14
Classification:
Friedman test,
Page test,
nonparametric analysis of complete and balanced incomplete block designs,
Bahadur efficiency,
contiguous alternatives,
efficiency,
ties,
62G10,
62G20
@article{1176344675,
author = {Schach, S.},
title = {An Alternative to the Friedman Test with Certain Optimality Properties},
journal = {Ann. Statist.},
volume = {7},
number = {1},
year = {1979},
pages = { 537-550},
language = {en},
url = {http://dml.mathdoc.fr/item/1176344675}
}
Schach, S. An Alternative to the Friedman Test with Certain Optimality Properties. Ann. Statist., Tome 7 (1979) no. 1, pp. 537-550. http://gdmltest.u-ga.fr/item/1176344675/