Rank Order Probabilities: Two-Sample Normal Shift Alternatives

摘要

The report is intended to be the first chapter of a monograph concerning exact properties of rank order procedures under normal shift alternatives. Rank order probabilities are presented in tabular form. Applications of these tabled values in several areas are proposed, including investigation of (1) the small sample power of various standard two-sample nonparametric tests for location against normal alternatives, (2) the most powerful rank and rank sum tests for location with respect to normal alternatives, and (3) sequential two-sample procedures based on ranks and the sum of ranks with respect to normal alternatives.