| Abstract: | Savage (1956) obtained an easily applied necessary condition for the admissibility of two-sample rank tests under alternatives having a monotone likelihood ratio. This condition is: rank order Z is more likely than rank order Z' if the Z-path is above the Z'-path in Young's lattice. This condition is easily applied and allows not only the proof of the inadmissibility of the Wilcoxon test under Lehmann alternatives but it can also be used to construct explicitly uniformly better tests. For Lehmann alternatives, we obtain another necessary criterion on rank orders which makes use of dominance. |
