Abstract
The paper explains how a k-multiple chart in two dimensions can be constructed as a descriptive tool for the k-samples. This chart is regarded as an extention to the k-sample problem of the pair chart discussed by Quade for the two-sample problem. The area Sk lying below the path on the k-multiple chart is applied to the non-parametric test for homogeneity against ordered alternatives. The Pitman efficiency of Sk with respect to the well-known test statistic Wk of Terpstra and Jonckheere is shown, and its value is illustrated for k=4, 5, …, 15. As the results, though Sk and Wk are nearly equivalent test statistics, Sk may be superior to Wk in terms of the test statistic with some graphical characteristics.
