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Research Article

Inferring inequality: Testing for median-preserving spreads in ordinal data

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References

  • Abul Naga, R. H., Stapenhurst, C. (2015). Estimation of inequality indices of the cumulative distribution function. Economics Letters 130:109–112. doi:10.1016/j.econlet.2015.03.004.
  • Abul Naga, R., Stapenhurst, C., Yalonetzky, G. (2020). Asymptotic versus bootstrap inference for inequality indices of the cumulative distribution function. Econometrics 8(1):8. doi:10.3390/econometrics8010008.
  • Abul Naga, R. H., Yalcin, T. (2008). Inequality measurement for ordered response health data. Journal of Health Economics 27(6):1614–1625. doi:10.1016/j.jhealeco.2008.07.01518838185.
  • Allison, R. A., Foster, J. E. (2004). Measuring health inequality using qualitative data. Journal of Health Economics 23(3):505–524. doi:10.1016/j.jhealeco.2003.10.00615120468.
  • Apouey, B. (2007). Measuring health polarization with self-assessed health data. Health Economics 16(9):875–894. doi:10.1002/hec.128417705333.
  • Balestra, C. and N. Ruiz (2015). Scale-invariant measurement of inequality and welfare in ordinal achievements: an application to subjective well-being and education in oecd countries. Social Indicators Research 123(2):479–500.
  • Berger, R. L. (1982). Multiparameter hypothesis testing and acceptance sampling. Technometrics 24(4):295. doi:10.2307/1267823.
  • Chakravarty, S. R., Maharaj, B. (2012). Ethnic polarization orderings and indices. Journal of Economic Interaction and Coordination 7(1):99–123. doi:10.1007/s11403-011-0084-z
  • Chakravarty, S. R., Maharaj, B. (2015). Generalized gini polarization indices for an ordinal dimension of human well-being. International Journal of Economic Theory 11(2):231–246. doi:10.1111/ijet.12062
  • Davidson, R., Duclos, J.-Y. (2013). Testing for restricted stochastic dominance. Econometric Reviews 32(1):84–125. doi:10.1080/07474938.2012.690332
  • Davidson, R., MacKinnon, J. G. (1998). Graphical methods for investigating the size and power of hypothesis tests. The Manchester School 66(1):1–26. doi:10.1111/1467-9957.00086
  • Davison, A., D., Hinkley, (1997). Bootstrap methods and their applications. In Cambridge Series on Statistical and Probabilistic Mathematics, Vol. 1, Cambridge: Cambridge University Press.
  • Dutta, I., Foster, J. (2013). Inequality of happiness in the U. S.: 1972–2010. Review of Income and Wealth 59(3):393–415. doi:10.1111/j.1475-4991.2012.00527.x
  • Gunawan, D., Griffiths, W. E., Chotikapanich, D. (2018). Bayesian inference for health inequality and welfare using qualitative data. Economics Letters 162:76–80. doi:10.1016/j.econlet.2017.11.005
  • Kass, R., P., Voss, (1997). Geometrical Foundations of Asymptotic Inference. New York: John Wiley & Sons.
  • Kobus, M. (2015). Polarisation measurement for ordinal data. Journal of Economic Inequality 13(2), 275–97.
  • Kobus, M., MiloŚ, P. (2012). Inequality decomposition by population subgroups for ordinal data. Journal of Health Economics 31(1):15–21. doi:10.1016/j.jhealeco.2011.11.00522277283.
  • Latham, K., Peek, C. W. (2013). Self-rated health and morbidity onset among late midlife U.S. adults. The Journals of Gerontology. Series B, Psychological Sciences and Social Sciences 68(1):107–116. doi:10.1093/geronb/gbs10423197340.
  • Lazar, ADI., Silber, J. (2013). On the cardinal measurement of health inequality when only ordinal information is available on individual health status. Health Economics 22(1):106–113. doi:10.1002/hec.182122144048.
  • Lehmann, E., Romano, J. (2005). Testing Statistical Hypotheses. New York: Springer.
  • Liu, Y., Du, Z., Li, Y., Lu, S., Tang, S., Guo, L. (2024). Improving linolenic acid content in rapeseed oil by overexpression of CsFAD2 and CsFAD3 genes. Molecular Breeding: New Strategies in Plant Improvement 44(2):9. doi:10.1007/s11032-024-01445-0. PMC: 38298744.
  • Madden, D. (2010). Ordinal and cardinal measures of health inequality: An empirical comparison. Health Economics 19(2):243–250. doi:10.1002/hec.147219301418.
  • Mendelson, H. (1987). Quantile-preserving spread. Journal of Economic Theory 42(2):334–351. doi:10.1016/0022-0531(87)90091-3
  • Mood, A., Graybill, F., Boes, D., ( 1974). Introduction to the theory of statistics. In McGraw-Hill Series in Probability and Statistics. Kogakusha: McGraw-Hill.
  • Reardon, S., ( 2009). Measures of ordinal segegation. In: Fluckiger, Y., Reardon, S., Silber, J., eds., Occupational and Residential Segregation, Vol. 17. Research on Economic Inequality. Leeds: Emerald Group Publishing Limited.
  • Rothschild, M., Stiglitz, J. E. (1970). Increasing risk: I. A definition. Journal of Economic Theory 2(3):225–243. doi:10.1016/0022-0531(70)90038-4
  • Silber, J., Yalonetzky, G. (2021). Measuring welfare, inequality and poverty with ordinal variables. In: Zimmermann, K., ed., Handbook of Labor, Human Resources and Population Economics. Cham: Springer.
  • Stevens, S. S. (1946). On the theory of scales of measurement. Science (New York, N.Y.) 103(2684):677–680. doi:10.1126/science.103.2684.67717750512.
  • Yalonetzky, G. (2013). Stochastic dominance with ordinal variables: Conditions and a test. Econometric Reviews 32(1):126–163. doi:10.1080/07474938.2012.690653

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