IDEAS home Printed from https://ideas.repec.org/a/spr/soinre/v136y2018i1d10.1007_s11205-016-1541-9.html
   My bibliography  Save this article

Multidimensional Almost Dominance: Child Wellbeing in Egypt

Author

Listed:
  • T. El Sayed

    (Cairo University)

  • A. R. Zahran

    (Cairo University)

Abstract

A major drawback of First Order Stochastic Dominance approach is dominance indetermination. Levy and Leshno in 2002 suggested Almost Stochastic Dominance as a remedy in the uni-dimensional case. We introduce a Generalization of Almost First and second Order Dominance (MAFOD and MASOD) to the multidimensional case with application on child wellbeing in Egypt. We perform a multidimensional (FOD) analysis on seven deprivation indicators for three age-groups of children from Egypt 2014 Demographic and Health Survey (EDHS14). This methodology allows the ordinal ranking of regions and governorates of Egypt in terms of their children wellbeing based on their probability of domination. To solve the dominance indetermination we apply MAFOD and MASOD.

Suggested Citation

  • T. El Sayed & A. R. Zahran, 2018. "Multidimensional Almost Dominance: Child Wellbeing in Egypt," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 136(1), pages 283-304, February.
  • Handle: RePEc:spr:soinre:v:136:y:2018:i:1:d:10.1007_s11205-016-1541-9
    DOI: 10.1007/s11205-016-1541-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11205-016-1541-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s11205-016-1541-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Atkinson, A B, 1987. "On the Measurement of Poverty," Econometrica, Econometric Society, vol. 55(4), pages 749-764, July.
    2. Paolo Verme & Branko Milanovic & Sherine Al-Shawarby & Sahar El Tawila & May Gadallah & Enas Ali A. El-Majeed, 2014. "Inside Inequality in the Arab Republic of Egypt : Facts and Perceptions across People, Time, and Space," World Bank Publications - Books, The World Bank Group, number 17583.
    3. Nanivazo, Malokele, 2014. "First order dominance analysis: Child wellbeing in the Democratic Republic of Congo," WIDER Working Paper Series 025, World Institute for Development Economic Research (UNU-WIDER).
    4. Arndt, Channing & Distante, Roberta & Hussain, M. Azhar & Østerdal, Lars Peter & Huong, Pham Lan & Ibraimo, Maimuna, 2012. "Ordinal Welfare Comparisons with Multiple Discrete Indicators: A First Order Dominance Approach and Application to Child Poverty," World Development, Elsevier, vol. 40(11), pages 2290-2301.
    5. Malokele Nanivazo, 2015. "First Order Dominance Analysis: Child Wellbeing in the Democratic Republic of Congo," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 122(1), pages 235-255, May.
    6. Lipkovich, Ilya A. & Smith, Eric P., 2002. "Biplot and Singular Value Decomposition Macros for Excel©," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 7(i05).
    7. A. B. Atkinson & F. Bourguignon, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(2), pages 183-201.
    8. Moshe Leshno & Haim Levy, 2002. "Preferred by "All" and Preferred by "Most" Decision Makers: Almost Stochastic Dominance," Management Science, INFORMS, vol. 48(8), pages 1074-1085, August.
    9. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    10. Ulrich Kohler & Magdalena Luniak, 2005. "Data inspection using biplots," Stata Journal, StataCorp LP, vol. 5(2), pages 208-233, June.
    11. Sami Bibi, 2004. "Comparing Multidimensional Poverty between Egypt and Tunisia," Cahiers de recherche 0416, CIRPEE.
    12. Sabina Alkire, Maria Emma Santos, 2010. "Acute Multidimensional Poverty: A New Index for Developing Countries," OPHI Working Papers 38, Queen Elizabeth House, University of Oxford.
    13. Jean-Yves Duclos & David E. Sahn & Stephen D. Younger, 2006. "Robust Multidimensional Poverty Comparisons," Economic Journal, Royal Economic Society, vol. 116(514), pages 943-968, October.
    14. Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March.
    15. repec:aer:wpaper:198 is not listed on IDEAS
    16. Nyiwul Mabughi & Tarek Selim, 2006. "Poverty as social deprivation: a survey," Review of Social Economy, Taylor & Francis Journals, vol. 64(2), pages 181-204.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. T. El Sayed & A. R. Zahran, 2020. "Child Wellbeing in Egypt: a Weighted Multidimensional Almost Dominance Approach," Child Indicators Research, Springer;The International Society of Child Indicators (ISCI), vol. 13(3), pages 993-1022, June.
    2. Cho, Esther Yin-Nei & Yu, Fuk-Yuen, 2020. "A review of measurement tools for child wellbeing," Children and Youth Services Review, Elsevier, vol. 119(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. T. El Sayed & A. R. Zahran, 2020. "Child Wellbeing in Egypt: a Weighted Multidimensional Almost Dominance Approach," Child Indicators Research, Springer;The International Society of Child Indicators (ISCI), vol. 13(3), pages 993-1022, June.
    2. Malokele Nanivazo, 2015. "First Order Dominance Analysis: Child Wellbeing in the Democratic Republic of Congo," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 122(1), pages 235-255, May.
    3. Marcello Basili & Paulo Casaca & Alain Chateauneuf & Maurizio Franzini, 2017. "Multidimensional Pigou–Dalton transfers and social evaluation functions," Theory and Decision, Springer, vol. 83(4), pages 573-590, December.
    4. Satya R. Chakravarty & Pietro Muliere, 2004. "Welfare indicators: a review and new perspectives. 2. Measurement of poverty," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 247-281.
    5. Martin Ravallion, 2011. "On multidimensional indices of poverty," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(2), pages 235-248, June.
    6. Sonne-Schmidt, Christoffer & Tarp, Finn & Peter, Lars, 2011. "Ordinal multidimensional inequality: theory and application to the 2x2 case," MPRA Paper 72838, University Library of Munich, Germany.
    7. Christophe Muller & Asha Kannan & Roland Alcindor, 2016. "Multidimensional Poverty in Seychelles," Working Papers halshs-01264444, HAL.
    8. Rolf Aaberge & Andrea Brandolini, 2014. "Multidimensional poverty and inequality," Temi di discussione (Economic working papers) 976, Bank of Italy, Economic Research and International Relations Area.
    9. Christoffer Sonne-Schmidt & Finn Tarp & Lars Peter Østerdal, 2013. "Ordinal Multidimensional Inequality," WIDER Working Paper Series wp-2013-097, World Institute for Development Economic Research (UNU-WIDER).
    10. Martin Ravallion, 2012. "Mashup Indices of Development," The World Bank Research Observer, World Bank, vol. 27(1), pages 1-32, February.
    11. Sonne-Schmidt, Christoffer & Tarp, Finn & Østerdal, Lars Peter, 2013. "Ordinal Multidimensional Inequality," WIDER Working Paper Series 097, World Institute for Development Economic Research (UNU-WIDER).
    12. Christoffer Sonne-Schmidt & Finn Tarp & Lars Peter Østerdal, 2016. "Ordinal Bivariate Inequality: Concepts and Application to Child Deprivation in Mozambique," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 62(3), pages 559-573, September.
    13. Gordon Anderson, 2008. "The empirical assessment of multidimensional welfare, inequality and poverty: Sample weighted multivariate generalizations of the Kolmogorov–Smirnov two sample tests for stochastic dominance," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 6(1), pages 73-87, March.
    14. Alkire, Sabina & Santos, Maria Emma, 2014. "Measuring Acute Poverty in the Developing World: Robustness and Scope of the Multidimensional Poverty Index," World Development, Elsevier, vol. 59(C), pages 251-274.
    15. M. Azhar Hussain & Nikolaj Siersbæk & Lars Peter Østerdal, 2020. "Multidimensional welfare comparisons of EU member states before, during, and after the financial crisis: a dominance approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(4), pages 645-686, December.
    16. Sabina Alkire & James Foster, 2011. "Understandings and misunderstandings of multidimensional poverty measurement," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(2), pages 289-314, June.
    17. Pinar, Mehmet & Stengos, Thanasis & Topaloglou, Nikolas, 2020. "On the construction of a feasible range of multidimensional poverty under benchmark weight uncertainty," European Journal of Operational Research, Elsevier, vol. 281(2), pages 415-427.
    18. Duclos, Jean-Yves & Sahn, David E. & Younger, Stephen D., 2011. "Partial multidimensional inequality orderings," Journal of Public Economics, Elsevier, vol. 95(3), pages 225-238.
    19. Rolf Aaberge & François Bourguignon & Andrea Brandolini & Francisco H. G. Ferreira & Janet C. Gornick & John Hills & Markus Jäntti & Stephen P. Jenkins & Eric Marlier & John Micklewright & Brian Nolan, 2017. "Tony Atkinson and his Legacy," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 63(3), pages 411-444, September.
    20. Michel Denuit & Rachel Huang & Larry Tzeng, 2014. "Bivariate almost stochastic dominance," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(2), pages 377-405, October.

    Corrections

    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:spr:soinre:v:136:y:2018:i:1:d:10.1007_s11205-016-1541-9. See general information about how to correct material in RePEc.

    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 bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.