A Gini concentration quality measure for ordinal variables

The measurement of quality requires the development of inequality measures that help setting standard references. The issue of introducing inequality measures related to ordinal variables is a relevant research field, especially with regard to the evaluation of health and educational effectiveness. In this context, the main contribution of this paper is in providing a new definition of the Lorenz curve when the interested analyzed variable has an ordinal nature. Our purpose consists in defining a novel summary of the Lorenz curve that we name “ranks-based Gini measure”, characterized by the employment of the ranks of the ordinal variables