Article,
Edgeworth Expansions for the Power of Permutation Tests
The Annals of Statistics, 11 (2): 625--631 (1983)
Abstract
A randomization model for a two-sample situation with
additive treatment effects is considered. Edgeworth
expansions for the power of the usual permutation test are
derived, under some conditions on the unit errors, from
previously obtained expansions under the null hypothesis of
no treatment effect. A general error structure is
considered and conditions for the validity of the
expansions for both conditional and unconditional power are
examined. The results are shown to generalise expansions
obtained earlier by different methods for the special case
of independent and identically distributed random
variables.
