Comparing several treatments with a control

Abstract Consider the partially balanced one-way layout for comparing k treatments μ i , 1 ⩽ i ⩽ k , with a control μ 0 . 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 μ i - μ 0 , 1 ⩽ i ⩽ k .