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.
Similar content being viewed by others
Notes
If dimensions are substitutes the marginal utility of one attribute decreases as the quantity of the other increases. If attributes are complements, an increase in the amount of one raises the marginal utility of the other (Njong 2010).
The Bristol indicators were originally developed by a team at the University of Bristol and presented in the report “The Distribution of Child Poverty in the Developing World”. These indicators are based on the “deprivation approach” to poverty (Gordon et al. 2003).
Net domination is the difference between row and column mean domination.
Unpublished.
Could be provided upon request.
Results for the other two age-groups could be provided upon request.
References
Alkire, S., & Santos, M. E. (2010). Acute Multidimensional poverty: A new index for developing countries. OPHI working paper 38, Oxford University.
Arndt, C., Distante, R., Hussain, M. A., Østerdal, L. P., Huong, P. L., & Ibraimo, M. (2011). Ordinal welfare comparisons with multiple discrete indicators: A first order dominance approach and application to child poverty. World Development, 40, 2290–2301.
Atkinson, A. B. (1970). On the measurement of inequality. Journal of Economic Theory, 2(3), 244–263.
Atkinson, A. B. (1987). On the measurement of poverty. Econometrica, 55(4), 749–764.
Atkinson, A. B., & Bourguignon, F. (1982). The comparison of multi-dimensioned distributions of economic status. Review of Economic Studies, 49(2), 183–201.
Bibi, S. (2004). Comparing Multidimensional Poverty between Egypt and Tunisia. In CIRPEE working paper number 0416, the annual conference of the center for the study of African economies. University of Oxford. http://www.cirpee.org/fileadmin/documents/Cahiers_2004/CIRPEE04-16.pdf.
Duclos, J. Y., Sahn, D. E., & Younger, S. D. (2006). Robust multidimensional poverty comparisons. The Economic Journal, 116(514), 943–968.
El Laithy, H., & Armanious, D. Towards a new definition of child poverty indicators in Egypt (sensitivity analysis) (unpublished).
Elton, E., Gruber, M., Brown, S., & Goetzmann, W. (2003). Modern portfolio theory and investment analysis (6th ed.). New Jersey: Wiley.
Gordon, D., Nandy, S., Pantazis, C., Pemberton, S., & Townsend, P. (2003). The distribution of poverty in the developing world. Report to UNICEF, University of Bristol, UK, Centre for International Poverty Research.
Hadar, J., & Russell, W. (1969). Rules for ordering uncertain prospects. American Economic Review, 59, 25–34.
Kohler, U., & Luniak, M. (2005). Data inspection using biplots. The STATA Journal, 5(2), 208–223.
Leshno, M., & Levy, H. (2002). Preferred by all” and preferred by “most” decision makers: Almost stochastic dominance. Management Science, 48, 1074–1085.
Levy, M. (2012). Almost stochastic dominance and efficient investment sets. American Journal of Operations Research, 2, 313–321.
Lipkovich, I., & Smith, E. P. (2002). Biplot and singular value decomposition macros for Excel. Journal of Statistical Software, 7(5), 1–15.
Mabughi, N., & Selim, T. (2006). Poverty as social deprivation: A survey. Review of Social Economy, 64(2), 181–204.
Ministry of Health and Population [Egypt], El-Zanaty and Associates [Egypt], and ICF International. (2014). Egypt demographic and health survey 2014. Retrieved from http://www.dhsprogram.com/data/available-datasets.cfm.
Nanivazo, M. (2015). First order dominance analysis: Child wellbeing in the Democratic Republic of Congo. Social Indicators Research, 122, 235–255.
Njong, A. M. (2010), Multidimensional spatial poverty comparisons in Cameroon. In African Economic Research Consortium (AERC), Nairobi, Research Paper 198.
Smith, W. F., Jr., & Cornell, J. A. (1993). Biplot displays for looking at multiple response data in mixture experiments. Technometrics, 35(4), 337–350.
Smith, A., & Townsend, B. P. (1965). “The poor and the poorest”, a new analysis of the ministry of labour’s family expenditure surveys of 1953–54 and 1960 (p. 2). London: G. Bell& Sons Ltd., York House.
UlHaq, M. (2003). The birth of the human development index. In Readings in human development (pp. 127–137). Oxford University Press.
UNDP (United Nation Development Programme) (1997). Egypt human development report.
Verme, P., Milanovic, B., Al-Shawarby, S., El-Tawila, S., Gadallah, M., & El-Majeed, E. A. (2014). Inside inequality in the Arab Republic of Egypt: Facts and perceptions across people, time, and space. Washington, DC: World Bank Studies, World Bank.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
El Sayed, T., Zahran, A.R. Multidimensional Almost Dominance: Child Wellbeing in Egypt. Soc Indic Res 136, 283–304 (2018). https://doi.org/10.1007/s11205-016-1541-9
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11205-016-1541-9