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March, 1973 The Large-Sample Power of Permutation Tests for Randomization Models
J. Robinson
Ann. Statist. 1(2): 291-296 (March, 1973). DOI: 10.1214/aos/1176342366


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.


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J. Robinson. "The Large-Sample Power of Permutation Tests for Randomization Models." Ann. Statist. 1 (2) 291 - 296, March, 1973.


Published: March, 1973
First available in Project Euclid: 12 April 2007

zbMATH: 0255.62041
MathSciNet: MR359168
Digital Object Identifier: 10.1214/aos/1176342366

Primary: 62G10
Secondary: 62E20

Keywords: Large-sample power , permutation tests , randomization models , randomized block design

Rights: Copyright © 1973 Institute of Mathematical Statistics

Vol.1 • No. 2 • March, 1973
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