Abstract
The class of quasi U-statistics (Pinheiro et al., 2009; 2010) is constituted by a great variety of weighted U-statistics. Pinheiro et al. (2009) proves that the tests statistics for homogeneity among groups have assymptotically normal distributions, under the null hypothesis as well as under alternative ones (local or not). Pinheiro at al. (2005; 2011) present details about the applicabi…