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Measuring Health Inequality in US: A Composite Index Approach

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Abstract

In this paper, we use the standardized mortality rates for 21 mutual exclusive causes of death to propose a composite index of US county-level health performances in 1980–2014 interval. We aggregate mortality rates by the stochastic multi-criteria acceptability analysis (SMAA), in order to avoid any a priori judgement on the importance given to a specific cause of death. The total observed inequality among counties is then decomposed to estimate the variability between and within states by means of the Theil index on SMAA outcomes. On average, there has been a decrease in the Composite Index of mortality from 1980 to 2014, but while the majority of counties had an increase in health conditions, some counties have shown a decrease in health performances in the same interval. This may be the reason of a persistent increase of total inequality among counties, with inequality within states constantly higher than inequality between states, both responsible of the growing inequality levels of health performances in the period analysed.

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Notes

  1. DEA originates from the work of Farrel (1957) and it has been further developed by Charnes et al. (1978).

  2. DEA originates from the work of Farrel (1957) and further developed by Charnes et al. (1978).

  3. The complete list is available as supplementary material.

  4. As it is known, Lorenz curves have a correspondence with the Gini index of inequality. Provided that Lorenz curves do not intersect, they rank distributions in the same way as the Gini index. However, where Lorenz curves intersect they can provide only a partial information on how to rank distributions, and this rank may differ from that provided by the Gini index. The reason is that Lorenz curves may provide only partial rankings when they intersect, while the Gini index provides a complete ranking even in the case where Lorenz curves intersect.

  5. The correlation coefficient is 0.001 in 1980.

  6. The correlation coefficient is − 0.063 in 2014.

  7. Using equal weighting would amount to use an all-cause mortality index, as the single mortality rates would just add up to the overall mortality rate. However, in the Global Health Data Exchange used in this paper, the all-cause mortality rate is calculated by using an age-standardized technique that is different from the age-standardized technique used to calculate the single mortality rates. Thus, in the dataset, the equal weighting of the single indicators does not add up to the all-cause mortality rate.

References

  • Acevedo-Garcia, D. (2001). Zip code-level risk factors for tuberculosis: Neighborhood environment and residential segregation in New Jersey, 1985–1992. American Journal of Public Health,91(5), 734.

    Google Scholar 

  • Acevedo-Garcia, D., Lochner, K. A., Osypuk, T. L., & Subramanian, S. V. (2003). Future directions in residential segregation and health research: A multilevel approach. American Journal of Public Health,93(2), 215–221.

    Google Scholar 

  • Anderson, T. J., Saman, D. M., Lipsky, M. S., & Lutfiyya, M. N. (2015). A cross-sectional study on health differences between rural and non-rural US counties using the County Health Rankings. BMC Health Services Research,15(1), 441.

    Google Scholar 

  • Becker, Gary S., Philipson, Tomas J., & Soares, Rodrigo R. (2005). The quantity and quality of life and the evolution of world inequality. American Economic Review,95(1), 277–291.

    Google Scholar 

  • Bossert, W., Chakravarty, S. R., & D'Ambrosio, C. (2009). Multidimensional poverty and material deprivation. ECINEQ Working Paper 129.

  • Card, D. (1999). The causal effect of education on earnings. Handbook of labor economics, 3, 1801–1863.

    Google Scholar 

  • Charnes, A., Cooper, W. W., & Rhodes, E. (1978). Measuring the efficiency of decision making units. European Journal of Operational Research,2(6), 429–444.

    Google Scholar 

  • Cherchye, L., Moesen, W., Rogge, N., Van Puyenbroeck, T., Saisana, M., Saltelli, A., et al. (2008). Creating composite indicators with DEA and robustness analysis: The case of the Technology Achievement Index. Journal of the Operational Research Society,59(2), 239–251.

    Google Scholar 

  • Chetty, R., Stepner, M., Abraham, S., Lin, S., Scuderi, B., Turner, N., et al. (2016). The association between income and life expectancy in the United States, 2001–2014. JAMA,315(16), 1750–1766.

    Google Scholar 

  • Chowdhury, S., & Squire, L. (2006). Setting weights for aggregate indices: An application to the commitment to development index and human development index. Journal of Development Studies, 42(5), 761–771.

    Google Scholar 

  • Cooper, R. S. (2001). Social inequality, ethnicity and cardiovascular disease. International Journal of Epidemiology,30(suppl_1), S48.

    Google Scholar 

  • Cooper, R. S., Kennelly, J. F., Durazo-Arvizu, R., Oh, H. J., Kaplan, G., & Lynch, J. (2016). Relationship between premature mortality and socioeconomic factors in black and white populations of US metropolitan areas. Public Health Reports,116, 464–473.

    Google Scholar 

  • Costanza, R., Daly, L., Fioramonti, L., Giovannini, E., Kubiszewski, I., Mortensen, L. F., et al. (2016). Modelling and measuring sustainable wellbeing in connection with the UN sustainable development goals. Ecological Economics,130, 350–355.

    Google Scholar 

  • Cowell, F. A. (2000). Measurement of inequality. In A. B. Atkinson & F. Bourguignon (Eds.), Handbook of income distribution (Vol. 1, pp. 87–166). Amsterdam: Elsevier.

    Google Scholar 

  • Cutler, D. M., & Lleras-Muney, A. (2010). Understanding differences in health behaviors by education. Journal of Health Economics,29(1), 1–28.

    Google Scholar 

  • De Muro, P., Mazziotta, M., & Pareto, A. (2011). Composite indices of development and poverty: An application to MDGs. Social indicators research, 104(1), 1–18.

    Google Scholar 

  • Deaton, A., & Lubotsky, D. (2003). Mortality, inequality and race in American cities and states. Social Science and Medicine,56(6), 1139–1153.

    Google Scholar 

  • Decancq, K., & Lugo, M. A. (2013). Weights in multidimensional indices of wellbeing: An overview. Econometric Reviews,32(1), 7–34.

    Google Scholar 

  • Desai, M., & Shah, A. (1988). An econometric approach to the measurement of poverty. Oxford Economic Papers, 40(3), 505–522.

    Google Scholar 

  • Deutsch, J., & Silber, J. (2005). Measuring multidimensional poverty: An empirical comparison of various approaches. Review of Income and Wealth, 51(1), 145–174.

    Google Scholar 

  • Dwyer-Lindgren, L., Bertozzi-Villa, A., Stubbs, R. W., Morozoff, C., Kutz, M. J., Huynh, C., et al. (2016). US county-level trends in mortality rates for major causes of death, 1980–2014. JAMA,316(22), 2385–2401.

    Google Scholar 

  • Elbers, C., Lanjouw, P., Mistiaen, J. A., & Ozler, B. (2005). Re-interpreting sub-group inequality decompositions. Policy Research Working Paper Series 3687. The World Bank.

  • Eurobarometer, S. (2012). 77, Spring 2012. Public Opinion In the European Union (first results).

  • Foster, J., McGillivray, M., Seth, S. (2009) Rank robustness of composite indices. OPHI Working paper 26.

  • Fusco, A., & Dickes, P. (2008). The Rasch Model and Multidimensional Poverty Measurement. In N. Kakwani & J. Silber (Eds.), Quantitative Approaches to Multidimensional Poverty Measurement. London: Palgrave Macmillan.

    Google Scholar 

  • Ghirardato, P., Klibanoff, P., & Marinacci, M. (1998). Additivity with multiple priors. Journal of Mathematical Economics,30(4), 405–420.

    Google Scholar 

  • Goetz, E. (2011). Gentrification in black and white: The racial impact of public housing demolition in American cities. Urban Studies,48(8), 1581–1604.

    Google Scholar 

  • Greco, S., Ehrgott, M., & Figueira, J. (2016). Multiple criteria decision analysis: State of the art surveys. International series in operations research & management science (2nd ed.). New York: Springer.

    Google Scholar 

  • Greco, S., Ishizaka, A., Matarazzo, B., & Torrisi, G. (2017). Stochastic multi-attribute acceptability analysis (SMAA): An application to the ranking of Italian regions. Regional Studies. https://doi.org/10.1080/00343404.2017.1347612.

    Article  Google Scholar 

  • Greco, S., Ishizaka, A., Resce, G., & Torrisi, G. (2019). Measuring well-being by a multidimensional spatial model in OECD Better Life Index framework. Socio-Economic Planning Sciences. https://doi.org/10.1016/j.seps.2019.01.006.

    Article  Google Scholar 

  • Greco, S., Ishizaka, A., Tasiou, M., & Torrisi, G. (2018). On the methodological framework of composite indices: A review of the issues of weighting, aggregation, and robustness. Social Indicators Research,141, 61–94.

    Google Scholar 

  • Guio, A. C., Fusco, A., & Marlier, E. (2009). A European Union approach to material deprivation using EU-SILC and Eurobarometer data. Integrated Research Infrastructure in the Socio-economic Sciences (IRISS) Working Paper Series, 19, 2009.

  • Institute for Health Metrics and Evaluation (IHME). (2016). United States mortality rates by county 1980–2014. Seattle: Institute for Health Metrics and Evaluation (IHME).

    Google Scholar 

  • Ishizaka, A., & Nemery, P. (2013). Multi-criteria decision analysis: Methods and software. Chichester: Wiley.

    Google Scholar 

  • Judge, K. (1995). Income distribution and life expectancy: A critical appraisal. BMJ: British Medical Journal,311(7015), 1282.

    Google Scholar 

  • Kawachi, I., & Kennedy, B. P. (1997). The relationship of income inequality to mortality: Does the choice of indicator matter? Social Science and Medicine,45(7), 1121–1127.

    Google Scholar 

  • Kawachi, I., Kennedy, B. P., & Wilkinson, R. G. (1999). Crime: Social disorganization and relative deprivation. Social Science and Medicine,48(6), 719–731.

    Google Scholar 

  • Klasen, S. (2000). Measuring poverty and deprivation in South Africa. Review of income and wealth, 46(1), 33–58.

    Google Scholar 

  • Klomp, J., & de Haan, J. (2010). Measuring health: A multivariate approach. Social Indicators Research,96(3), 433–457.

    Google Scholar 

  • Krishnakumar, J., & Nagar, A. L. (2008). On exact statistical properties of multidimensional indices based on principal components, factor analysis, MIMIC and structural equation models. Social Indicators Research, 86(3), 481–496.

    Google Scholar 

  • Krumholz, H. M., Normand, S. L. T., & Wang, Y. (2018). Geographical health priority areas for older Americans. Health Affairs,37(1), 104–110.

    Google Scholar 

  • Lagravinese, R., Liberati, P., & Resce, G. (2019). Exploring health outcomes by stochastic multicriteria acceptability analysis: An application to Italian regions. European Journal of Operational Research,274(3), 1168–1179.

    Google Scholar 

  • Lahdelma, R., Hokkanen, J., & Salminen, P. (1998). SMAA—Stochastic multiobjective acceptability analysis. European Journal of Operational Research,106(1), 137–143.

    Google Scholar 

  • Lahdelma, R., Miettinen, K., & Salminen, P. (2003). Ordinal criteria in stochastic multicriteria acceptability analysis (SMAA). European Journal of Operational Research,147(1), 117–127.

    Google Scholar 

  • Lahdelma, R., & Salminen, P. (2001). SMAA-2: Stochastic multicriteria acceptability analysis for group decision making. Operations Research,49(3), 444–454.

    Google Scholar 

  • Lahdelma, R., & Salminen, P. (2006). Stochastic multicriteria acceptability analysis using the data envelopment model. European Journal of Operational Research,170(1), 241–252.

    Google Scholar 

  • Lopez, R. (2002). Segregation and black/white differences in exposure to air toxics in 1990. Environmental Health Perspectives,110(Suppl 2), 289.

    Google Scholar 

  • Lynch, J. W., Kaplan, G. A., Pamuk, E. R., Cohen, R. D., Heck, K. E., Balfour, J. L., et al. (1998). Income inequality and mortality in metropolitan areas of the United States. American Journal of Public Health,88(7), 1074–1080.

    Google Scholar 

  • Marsh, K., IJzerman, M., Thokala, P., Baltussen, R., Boysen, M., Kaló, Z., et al. (2016). Multiple criteria decision analysis for health care decision making—Emerging good practices: Report 2 of the ISPOR MCDA Emerging Good Practices Task Force. Value in Health,19(2), 125–137.

    Google Scholar 

  • Mascherini, M., & Hoskins, B. (2008). Retrieving expert opinion on weights for the active citizenship composite indicator. European Commission-Institute for the protection and security of the citizen–EUR JRC46303 EN.

  • Mathews, T. J., & MacDorman, M. F. (2013). Infant mortality statistics from the 2010 period linked birth/infant death data set. National Vital Statistics Reports,62(8), 1–26.

    Google Scholar 

  • Meara, E. R., Richards, S., & Cutler, D. M. (2008). The gap gets bigger: Changes in mortality and life expectancy, by education, 1981–2000. Health Affairs,27(2), 350–360.

    Google Scholar 

  • Mikulić, J., Kožić, I., & Krešić, D. (2015). Weighting indicators of tourism sustainability: A critical note. Ecological Indicators,48, 312–314.

    Google Scholar 

  • Murphy, K. M., & Topel, R. H. (2006). The value of health and longevity. Journal of political Economy, 114(5), 871–904.

    Google Scholar 

  • Noorbakhsh, F. (1998). The human development index: some technical issues and alternative indices. Journal of International Development, 10(5), 589–605.

    Google Scholar 

  • OECD. (2008). Handbook on constructing composite indicators: Methodology and user guide. Paris: OECD Publishing.

    Google Scholar 

  • OECD. (2019). How's Life? - Measuring Well-being. Paris.

  • Olshansky, S. J., Antonucci, T., Berkman, L., Binstock, R. H., Boersch-Supan, A., Cacioppo, J. T., et al. (2012). Differences in life expectancy due to race and educational differences are widening, and many may not catch up. Health Affairs,31(8), 1803–1813.

    Google Scholar 

  • Patrizii, V., Pettini, A., & Resce, G. (2017). The Cost of Well-Being. Social Indicators Research, 133(3), 985–1010.

    Google Scholar 

  • Permanyer, I. (2011). Assessing the robustness of composite indices rankings. Review of Income and Wealth,57(2), 306–326.

    Google Scholar 

  • Postmus, D., Tervonen, T., van Valkenhoef, G., Hillege, H. L., & Buskens, E. (2014). A multi-criteria decision analysis perspective on the health economic evaluation of medical interventions. The European Journal of Health Economics,15(7), 709–716.

    Google Scholar 

  • Ravallion, M. (1997). Good and bad growth: The human development reports. World Development, 25(5), 631–638.

    Google Scholar 

  • Ray, A. K. (2008). Measurement of social development: An international comparison. Social Indicators Research,86(1), 1–46.

    Google Scholar 

  • Ray, S. C., & Chen, L. (2015). Data envelopment analysis for performance evaluation: A child’s guide. In S. Ray, S. Kumbhakar, P. Dua (Ed.), Benchmarking for Performance Evaluation (pp. 75–116). New Delhi: Springer.

    Google Scholar 

  • Resce, G., & Maynard, D. (2018). What matters most to people around the world? Retrieving Better Life Index priorities on Twitter. Technological Forecasting and Social Change, 137, 61–75.

    Google Scholar 

  • Saaty, R. W. (1987). The analytic hierarchy process—what it is and how it is used. Mathematical modelling, 9(3–5), 161–176.

    Google Scholar 

  • Saisana, M., Tarantola, S., & Saltelli, A. (2005). Uncertainty and sensitivity techniques as tools for the analysis and validation of composite indicators. Journal of the Royal Statistical Society A,168(2), 307–323.

    Google Scholar 

  • Savaglio, E. (2006). Three approaches to the analysis of multidimensional inequality. In F. Farina & E. Savaglio (Eds.), Inequality and Economic Integration (pp. 264–277). London: Routledge.

    Google Scholar 

  • Sharpe, A. (2004). Literature review of frameworks for macro-indicators. Ottawa: Centre for the Study of Living Standards.

    Google Scholar 

  • Shen, Y., Hermans, E., Brijs, T., & Wets, G. (2013). Data envelopment analysis for composite indicators: A multiple layer model. Social Indicators Research, 114(2), 739–756.

    Google Scholar 

  • Shi, L., Macinko, J., Starfield, B., Politzer, R., & Xu, J. (2005). Primary care, race, and mortality in US states. Social Science and Medicine,61(1), 65–75.

    Google Scholar 

  • Stiglitz, J. E., Sen, A., & Fitoussi, J. P. (2010). Report by the commission on the measurement of economic performance and social progress. Paris: Commission on the Measurement of Economic Performance and Social Progress.

    Google Scholar 

  • Sturtevant, L. (2014). The new district of columbia: What population growth and demographic change mean for the city. Journal of Urban Affairs,36(2), 276–299.

    Google Scholar 

  • Sucoff, C. A., & Upchurch, D. M. (1998). Neighborhood context and the risk of childbearing among metropolitan-area black adolescents. American Sociological Review,63, 571–585.

    Google Scholar 

  • Tervonen, T., & Lahdelma, R. (2007). Implementing stochastic multicriteria acceptability analysis. European Journal of Operational Research,178, 500–513.

    Google Scholar 

  • Theil, H. (1967). Economics and information theory. Amsterdam: North-Holland.

    Google Scholar 

  • Wilkinson, R. G., & Pickett, K. E. (2006). Income inequality and population health: A review and explanation of the evidence. Social Science and Medicine,62(7), 1768–1784.

    Google Scholar 

  • Williams, D. R., & Collins, C. (2001). Racial residential segregation: A fundamental cause of racial disparities in health. Public Health Reports,116(5), 404.

    Google Scholar 

  • Williams, D. R., & Mohammed, S. A. (2009). Discrimination and racial disparities in health: Evidence and needed research. Journal of Behavioral Medicine,32(1), 20–47.

    Google Scholar 

  • Wilson, M., & Daly, M. (1997). Life expectancy, economic inequality, homicide, and reproductive timing in Chicago neighbourhoods. BMJ: British Medical Journal,314(7089), 1271.

    Google Scholar 

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Lagravinese, R., Liberati, P. & Resce, G. Measuring Health Inequality in US: A Composite Index Approach. Soc Indic Res 147, 921–946 (2020). https://doi.org/10.1007/s11205-019-02177-x

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