## The Annals of Statistics

### The Large-Sample Power of Permutation Tests for Randomization Models

J. Robinson

#### Abstract

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 information

Source
Ann. Statist., Volume 1, Number 2 (1973), 291-296.

Dates
First available in Project Euclid: 12 April 2007

https://projecteuclid.org/euclid.aos/1176342366

Digital Object Identifier
doi:10.1214/aos/1176342366

Mathematical Reviews number (MathSciNet)
MR359168

Zentralblatt MATH identifier
0255.62041

JSTOR