One-sided and two-sided nonparametric tests for heterogeneity comparisons

ARBORETTI GIANCRISTOFARO, ROSA; Dipartimento Di Matematica - Università Di Ferrara, BONNINI, STEFANO; Dipartimento Di Scienze Statistiche - Università Di Padova, PESARIN, FORTUNATO; Dipartimento Di Scienze Statistiche - Università Di Padova & SALMASO, LUIGI; Dipartimento Di Tecnica E Gestione Dei Sistemi Industriali - Università Di Padova
This work consists of an inferential procedure that allows for a solution to the problem of hypothesis testing, in which the objective is that of comparing the heterogeneity of two populations on the basis of sampling data, i.e. to test the hypothesis that the heterogeneity of one population is greater or not equal than that of another. The simulation study ighlights the good behaviour of the tests, i.e. the proposed tests are well approximated and...