Mishra, SK (2012): A note on the indeterminacy and arbitrariness of pena’s method of construction of synthetic indicators.
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In this paper we demonstrate that Pena’s method of construction of a synthetic indicator is very sensitive to the order in which the constituent variables (whose linear aggregation yields the synthetic indicator) are arranged. Since m number of constituent variables may be arranged in m-factorial ways, even a moderately large m can give rise to a very large number of synthetic indicators from which one cannot choose the one which best represents the constituent variables. Given that an analyst has too little information as to the order in which a sizeable number of constituent variables must be arranged so as to obtain the best representative synthetic indicator, Pena’s method can give only an arbitrary synthetic indicator whose representativeness is indeterminate and uncertain.
|Item Type:||MPRA Paper|
|Original Title:||A note on the indeterminacy and arbitrariness of pena’s method of construction of synthetic indicators|
|Keywords:||Synthetic indicators, Composite Indices, Human development, NP-Hard problem|
|Subjects:||C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics > C43 - Index Numbers and Aggregation
O - Economic Development, Technological Change, and Growth > O1 - Economic Development > O15 - Human Resources; Human Development; Income Distribution; Migration
|Depositing User:||Sudhanshu Kumar Mishra|
|Date Deposited:||21. Mar 2012 16:45|
|Last Modified:||24. Feb 2013 15:47|
1. Martína, J.A.R. & Fernández, J.A.S. (2011) “An index of maternal and child health in the least developed countries of Asia”, Gac Sanit. 2011 [in press]; doi:10.1016/j.gaceta.2011.05.021.
2. Mishra, S. K. (2007) “A Note on Human Development Indices with Income Equalities”, http://ssrn.com/abstract=992854 or http://dx.doi.org/10.2139/ssrn.992854.
3. Mishra, S.K. (2009) "On Construction of Robust Composite Indices by Linear Aggregation", ICFAI University Journal of Computational Mathematics, 2(3), 2009, pp. 24-44.
4. Mishra, SK (2010): "Construction of an Index: A New Method", in Nayak, P. (ed) Growth and Human Development in North-East India, Oxford University Press, pp. 24-35.
5. Montero, J.M., Chasco, C. & Lanaz, B. (2010) “Building an environmental quality index for a big city: a spatial interpolation approach combined with a distance indicator”, J. Geogr. Syst. 12: 435-459.
6. Munda, G. & Nardo, M (2005) “Constructing Consistent Composite Indicators: The Issue of Weights”, EUR 21834 EN, Institute for the Protection and Security of the citizen, European Commission, Luxembourg.
7. Pena, J. B. (1977). Problemas de la medicio´n del bienestar y conceptos afines. Una aplicacio´n al Caso Espan˜ol. (I.N.E.: Madrid).
8. Sarker, S., Biswas, B. & Soundrs, P.J. (2006) “Distribution-Augmented Human Development Index: A Principal Component Analysis”, GSP, College of Business, Utah State Univ., USA. www.usu.edu/cob/econ/graduatestudents/documents/papers/developmentpaper.pdf. (visited on April1 24, 2007).
9. Somarriba, N. & Pena, B. (2009) “Synthetic Indicators of Quality of Life in Europe”, Soc. Indic. Res. 94:115–133.
10. Zarzosa, P. (1996) Aproximacio´n a la medicio´n del bienestar social. Valladolid: Secretario de Publicaciones.
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