Comparing several treatments with a control

Consider the partially balanced one-way layout for comparing k treatments μi, 1⩽i⩽k, with a control μ0. We propose a new test which is similar to the test statistics of Marcus [1976. The powers of some tests of the equality of normal means against an ordered alternative. Biometrika 63, 177-183]. By simulation we find that the proposed test has a good power performance when compared with other tests. Moreover, it can produce confidence intervals for μi-μ0,1⩽i⩽k.