In this paper we investigate the power function of the Studentised range test for comparing the means of normal populations in the one-way fixed effects analysis of variance model. The main results provide rigorous proofs of certain least favourable configurations of population means. These results are important in the calculation of the sample sizes required to guarantee power levels under certain restrictions on the ranges of the population means.
"The Power Function of the Studentised Range Test." Ann. Statist. 18 (1) 465 - 468, March, 1990. https://doi.org/10.1214/aos/1176347512