All-pairs multiple comparisons based on the Cucconi test

摘要

One-way design nonparametric multiple comparison problems are among the most important topics in nonparametric statistics. Various nonparametric tests have been proposed and considered for a multiple comparison problems by many authors over the years. The analysis of one-way design multiple comparisons are important in biometry. Nonparametric all-pairs multiple comparisons based on pairwise rankings are considered in the one-way layout. The pairwise ranking test based on the Cucconi test for the one-way layout multiple comparison of the location-scale problem is proposed. Simulations are used to investigate the power of the proposed test for jointly location and scale alternatives with various population distributions for small sample sizes. The suggested method is illustrated by the analysis of real data.