ONE-SIDED NONPARAMETRIC COMPARISON OF TREATMENTS WITH A STANDARD IN THE ONE-WAY LAYOUT

Nonparametric methods are presented for testing the null hypothesis H0: xi-1 = ... = xi-k = xi-0, where xi-i is the median of the i(th) population and xi-0 is specified, against one-sided alternatives. Several simple tests are described along with a multiple comparisons procedure. These methods are nonparametric analogues to the one-sided parametric methods proposed by Mee, Shah, and Lefante in an earlier issue of this Journal. The parametric and nonparametric methods are illustrated using the same data set.