We consider the one-way layout for comparingktreatment effects μi, 1 ≤i≤k.Hayter earlier proposed a one-sided studentized range test (OSRT) for testing the null hypothesisHμO: μ1= μ2= ··· = μkagainst the simple ordered alternativeHA: μ1≤ μ2≤ ··· ≤ μkwith at least one strict inequality. The OSRT gives a set of simultaneous confidence intervals for all ordered pairwise differences μj- μi,i<j. These intervals are one-sided and have infinite upper bounds. The confidence interval procedure proposed in this article maintains the sensitivity of the OSRT in detecting the ordered differences μj- μi> 0, but provides two-sided finite confidence intervals if the sample averages are all far apart.