Comparing population distributions from bin-aggregated sample data: An application to historical height data from France
AbstractWe develop a methodology to estimate underlying (continuous) population distributions from bin-aggregated sample data 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 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 based on confidentiality concerns.
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Bibliographic InfoArticle provided by Elsevier in its journal Economics & Human Biology.
Volume (Year): 9 (2011)
Issue (Month): 4 ()
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Web page: http://www.elsevier.com/locate/inca/622964
Health and nutrition; Distributional analysis; France; Economic history; Height; Physical stature; Anthropometric history;
Other versions of this item:
- Jean-Yves Duclos & Josée Leblanc & David Sahn, 2009. "Comparing Population Distributions from bin-Aggregated Sample Data: an Application to Historical Height Data from France," Cahiers de recherche 0910, CIRPEE.
- Jean-Yves Duclos & Josée Leblanc & David Sahn, 2009. "Comparing population distributions from bin-aggregated sample data: An application to historical height data from France," UFAE and IAE Working Papers 771.09, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Jean-Yves Duclos & Josée Leblanc & David Sahn, 2009. "Comparing population distributions from bin-aggregated sample data: An application to historical height data from France," Working Papers 381, Barcelona Graduate School of Economics.
- N33 - Economic History - - Labor and Consumers, Demography, Education, Health, Welfare, Income, Wealth, Religion, and Philanthropy - - - Europe: Pre-1913
- I10 - Health, Education, and Welfare - - Health - - - General
- C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
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