The permutation test using the usual $F$-statistic from a randomized block experiment is considered under a randomization model. Alternative hypotheses assuming additive treatment effects are considered. It is shown that the critical value of the test statistic tends to a constant in probability as the number of blocks becomes large. The large-sample power of the test is calculated for a sequence of alternatives arising naturally from the randomization model.
@article{1176342366,
author = {Robinson, J.},
title = {The Large-Sample Power of Permutation Tests for Randomization Models},
journal = {Ann. Statist.},
volume = {1},
number = {2},
year = {1973},
pages = { 291-296},
language = {en},
url = {http://dml.mathdoc.fr/item/1176342366}
}
Robinson, J. The Large-Sample Power of Permutation Tests for Randomization Models. Ann. Statist., Tome 1 (1973) no. 2, pp. 291-296. http://gdmltest.u-ga.fr/item/1176342366/