The Annals of Statistics
- Ann. Statist.
- Volume 1, Number 2 (1973), 291-296.
The Large-Sample Power of Permutation Tests for Randomization Models
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.
Ann. Statist., Volume 1, Number 2 (1973), 291-296.
First available in Project Euclid: 12 April 2007
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Robinson, J. The Large-Sample Power of Permutation Tests for Randomization Models. Ann. Statist. 1 (1973), no. 2, 291--296. doi:10.1214/aos/1176342366. https://projecteuclid.org/euclid.aos/1176342366