In a recent paper, Mishra and Subramanian (2006) propose a measure to explain group-differential which is sensitive to levels in the sense that a given hiatus at lower levels of failure (or higher levels of attainment) is considered worse off. This paper critically evaluates their method – refines their two axioms, adds an additional axiom of normalization and proposes an alternative which is more general. It proposes to reduce subjectivity when there is lower hiatus at lower levels of failure and also addresses scenarios when rank ordering of sub-groups will be reversed. Empirical illustration with infant mortality rate data for selected Indian states is also provided.
On Measuring Group-differentials Displayed by Socio-economic Indicators – An Extension