On Measuring Group Differential - Some Further Results

Hippu Salk Kristle Nathan and Srijit Mishra ()

Development Economics Working Papers from East Asian Bureau of Economic Research

Abstract: We impose a value judgment that a decrease in failure should be accompanied by a decrease in gap (difference or ratio) between sub-groups. In other words, the same gap at lower levels of failure is to be considered worse off. This, in line with transfer sensitivity axiom of poverty indices, is formalized by Mishra and Subramanian (2006) through two level-sensitive axioms in group differential measures. In addition, Mishra (2007) imposes an axiom of normalization. At a basic level it means that the group differential measure lies between zero and unity. However, at a fundamental level it should also mean that zero indicates no differential between the two sub-groups whereas unity indicates maximum differential between the two sub-groups. A group differential measure discussed in the above-mentioned two papers satisfied the level-sensitivity axioms but failed the normalization axiom at a fundamental level. Further, the comparison between two situations under this measure also happened to be dependent on the choice of some parameters. Both these problems are done away with in the measure proposed in this paper. Empirical illustration with infant mortality rate data for selected Indian states has also been given.

Keywords: indicator of failure; Level sensitivity (difference-based and ratio-based) (search for similar items in EconPapers)
JEL-codes: D63 O15 (search for similar items in EconPapers)
Date: 2008-01
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Citations: View citations in EconPapers (2)

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Working Paper: On measuring group differential: Some further results (2008)
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