Precedence tests and confidence bounds for complete data: An overview and some results

An overview of some nonparametric procedures based on precedence (or exceedance) statistics is given. The procedures include both tests and confidence intervals. In particular, the construction of some simple distribution-free confidence bounds for location difference of two distributions with the same shape is considered and some properties are derived. The asymptotic relative efficiency of an asymptotic form of the corresponding test relative to Wilcoxon's two-sample rank sum test and the two-sample Student t-test is given for various cases. Some K-sample problems are discussed where precedence-type tests are useful, along with a review of the literature.