In this paper we present the results of multidimensional poverty analysis carried out in Poland. We use the data on five Polish gminas (Gostyń, Gliwice, Zgierz, Małogoszcz, Manowo) that were gathered in the COMPETE project. We compare relative welfare standing of the gminas in dimension of income and education (years of education completed or highest education level attained). There are some drawbacks to the considered dataset that will be described in detail in Section 2, but for comparison purposes the data available is sufficient. First, we run pairwise comparisons in each dimension separately. Two distributions in the considered dimension (for instance, the cummulative distribution of income in Zgierz in Gliwice) can either cross, be identical or dominate each other. Next we check the results of unidimensional analysis in light of bivariate welfare comparisons. (fragment of text)