IDEAS home Printed from
   My bibliography  Save this paper

On measuring group differential: Some further results


  • Hippu Salk Kristle Nathan

    () (Indira Gandhi Institute of Devleopment Research)

  • Srijit Mishra

    () (Indira Gandhi Institute of Development Research)


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.

Suggested Citation

  • Hippu Salk Kristle Nathan & Srijit Mishra, 2008. "On measuring group differential: Some further results," Indira Gandhi Institute of Development Research, Mumbai Working Papers 2008-002, Indira Gandhi Institute of Development Research, Mumbai, India.
  • Handle: RePEc:ind:igiwpp:2008-002

    Download full text from publisher

    File URL:
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    1. Kakwani, N., 1993. "Performance in living standards : An international comparison," Journal of Development Economics, Elsevier, vol. 41(2), pages 307-336, August.
    2. Srijit Mishra, 2008. "On measuring group-differentials displayed by socio-economic indicators: an extension," Applied Economics Letters, Taylor & Francis Journals, vol. 15(12), pages 935-938.
    3. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-231, March.
    4. Udaya Mishra & S. Subramanian, 2006. "On measuring group-differentials displayed by socioeconomic indicators," Applied Economics Letters, Taylor & Francis Journals, vol. 13(8), pages 519-521.
    Full references (including those not matched with items on IDEAS)


    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.

    Cited by:

    1. Udaya S. Mishra, 2016. "Measuring Progress Towards MDGs in Child Health: Should Base Line Sensitivity and Inequity Matter?," Working Papers id:10705, eSocialSciences.
    2. Mishra, Udaya S., 2016. "Measuring progress towards MDGs in child health: Should base level sensitivity and inequity matter?," Evaluation and Program Planning, Elsevier, vol. 58(C), pages 70-81.

    More about this item


    Indicator of failure; Level sensitivity (difference-based and ratio-based); Normalization;

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • O15 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Economic Development: Human Resources; Human Development; Income Distribution; Migration

    NEP fields

    This paper has been announced in the following NEP Reports:


    Access and download statistics


    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ind:igiwpp:2008-002. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Shamprasad M. Pujar). General contact details of provider: .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.