In a one-way fixed effects analysis of variance model, when normal variances are unknown and possibly unequal, a one-sided range test for testing the null hypothesis H 0 : μ 1 = … = μk against an ordered alternative Ha : μ 1 ≤ … ≤ μk by a single-stage and a two-stage procedure, respectively, is proposed. The critical values under H 0 and the power under a specific alternative are calculated. Relation between the one-stage and the two-stage test procedures is discussed. A numerical example to illustrate these procedures is given.
Communications in Statistics: Simulation and Computation 29(4), pp.1255-1272