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Comparing population distributions from bin-aggregated sample data: An application to historical height data from France

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This paper develops a methodology to estimate the entire population distributions from bin-aggregated sample data. We do this through the estimation of the parameters of mixtures of distributions that allow for maximal parametric flexibility. The statistical approach we develop enables comparisons of the full distributions of height data from potential army conscripts across France's 88 departments for most of the nineteenth century. These comparisons are made by testing for differences-of-means stochastic dominance. Corrections for possible measurement errors are also devised by taking advantage of the richness of the data sets. Our methodology is of interest to researchers working on historical as well as contemporary bin-aggregated or histogram-type data, something that is still widely done since much of the information that is publicly available is in that form, often due to restrictions due to political sensitivity and/or confidentiality concerns.

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File URL: http://pareto.uab.es/wp/2009/77109.pdf
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Paper provided by Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC) in its series UFAE and IAE Working Papers with number 771.09.

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Length: 43
Date of creation: 20 Apr 2009
Handle: RePEc:aub:autbar:771.09
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  1. Davidson, Russell & Duclos, Jean-Yves, 2006. "Testing for Restricted Stochastic Dominance," IZA Discussion Papers 2047, Institute for the Study of Labor (IZA).
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  4. Hatton, Timothy J. & Bray, Bernice E., 2010. "Long run trends in the heights of European men, 19th-20th centuries," Economics & Human Biology, Elsevier, vol. 8(3), pages 405-413, December.
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  6. Deaton, A., 2001. "Health, Inequality, and Economic Development," Papers 200, Princeton, Woodrow Wilson School - Development Studies.
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  9. Banerjee, Abhijit & Duflo, Esther & Postel-Vinay, Gilles & Watts, Tim, 2007. "Long Run Impacts of Income Shocks: Wine and Phylloxera in 19th Century France," CEPR Discussion Papers 6140, C.E.P.R. Discussion Papers.
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  13. Komlos, John & Hau, Michel & Bourginat, Nicolas, 2003. "An Anthropometric History of Early-Modern France," Discussion Papers in Economics 54, University of Munich, Department of Economics.
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  17. repec:pri:rpdevs:deaton_height_health_inequality_revised_ack_jan08.pdf is not listed on IDEAS
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  24. Weir, David R., 1993. "Parental Consumption Decisions and Child Health During the Early French Fertility Decline, 1790–1914," The Journal of Economic History, Cambridge University Press, vol. 53(02), pages 259-274, June.
  25. Nolte, Ellen & McKee, Martin, 2004. "Changing health inequalities in east and west Germany since unification," Social Science & Medicine, Elsevier, vol. 58(1), pages 119-136, January.
  26. Brian Goesling & Glenn Firebaugh, 2004. "The Trend in International Health Inequality," Population and Development Review, The Population Council, Inc., vol. 30(1), pages 131-146.
  27. Deaton, A., 1998. "Aging and Inequality in Income and Health," Papers 181, Princeton, Woodrow Wilson School - Development Studies.
  28. repec:pri:cheawb:deaton_height_health_inequality_revised_ack_jan08.pdf is not listed on IDEAS
  29. Heyberger, Laurent, 2007. "Toward an anthropometric history of provincial France, 1780-1920," Economics & Human Biology, Elsevier, vol. 5(2), pages 229-254, July.
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  33. repec:pri:rpdevs:deaton_height_health_and_inequality_the_distribution_of_adult_heights_in_ is not listed on IDEAS
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