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Quantifying Quantitative Literacy: Age Heaping and the History of Human Capital

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  • Baten, Jörg
  • Crayen, Dorothee
  • A'Hearn, Brian

Abstract

Age data frequently display excess frequencies at attractive numbers, such as multiples of five. We use this "age heaping" to measure cognitive ability in quantitative reasoning, or "numeracy". We construct a database of age heaping estimates with exceptional geographic and temporal coverage, and demonstrate a robust correlation of literacy and numeracy, where both can be observed. Extending the temporal and geographic range of our knowledge of human capital, we show that Western Europe had already diverged from the East and reached high numeracy levels by 1600, long before the rise of mass schooling or the onset of industrialization.

Suggested Citation

  • Baten, Jörg & Crayen, Dorothee & A'Hearn, Brian, 2009. "Quantifying Quantitative Literacy: Age Heaping and the History of Human Capital," CEPR Discussion Papers 7277, C.E.P.R. Discussion Papers.
    • Handle: RePEc:cpr:ceprdp:7277
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    1. Gary S. Becker & Kevin M. Murphy & Robert Tamura, 1994. "Human Capital, Fertility, and Economic Growth," NBER Chapters, in: Human Capital: A Theoretical and Empirical Analysis with Special Reference to Education, Third Edition, pages 323-350, National Bureau of Economic Research, Inc.
    2. Matteo Cervellati & Uwe Sunde, 2005. "Human Capital Formation, Life Expectancy, and the Process of Development," American Economic Review, American Economic Association, vol. 95(5), pages 1653-1672, December.
    3. Galor, Oded & Weil, David, 1998. "Population, Technology and Growth: From the Malthusian Regime to the Demographic Transition," CEPR Discussion Papers 1981, C.E.P.R. Discussion Papers.
    4. Kevin M. Murphy & Andrei Shleifer & Robert W. Vishny, 1991. "The Allocation of Talent: Implications for Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(2), pages 503-530.
    5. N. Gregory Mankiw & David Romer & David N. Weil, 1992. "A Contribution to the Empirics of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 407-437.
    6. Barro, Robert J. & Lee, Jong-Wha, 1994. "Sources of economic growth," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 40(1), pages 1-46, June.
    7. Duncan-Jones,Richard, 1990. "Structure and Scale in the Roman Economy," Cambridge Books, Cambridge University Press, number 9780521354776, October.
    8. Neal, Derek A & Johnson, William R, 1996. "The Role of Premarket Factors in Black-White Wage Differences," Journal of Political Economy, University of Chicago Press, vol. 104(5), pages 869-895, October.
    9. Levine, Ross & Renelt, David, 1992. "A Sensitivity Analysis of Cross-Country Growth Regressions," American Economic Review, American Economic Association, vol. 82(4), pages 942-963, September.
    10. Jerik Hanushek & Dennis Kimko, 2006. "Schooling, Labor-force Quality, and the Growth of Nations," Voprosy obrazovaniya / Educational Studies Moscow, National Research University Higher School of Economics, issue 1, pages 154-193.
    11. Murnane, Richard J & Willett, John B & Levy, Frank, 1995. "The Growing Importance of Cognitive Skills in Wage Determination," The Review of Economics and Statistics, MIT Press, vol. 77(2), pages 251-266, May.
    12. A'Hearn, Brian & Baten, Jörg & Crayen, Dorothee, 2009. "Quantifying Quantitative Literacy: Age Heaping and the History of Human Capital," The Journal of Economic History, Cambridge University Press, vol. 69(3), pages 783-808, September.
    13. Gabriel Tortella, 1994. "Patterns of economic retardation and recovery in south-western Europe in the nineteenth and twentieth centuries," Economic History Review, Economic History Society, vol. 47(1), pages 1-21, February.
    14. Robert C. Allen, 2003. "Progress and poverty in early modern Europe," Economic History Review, Economic History Society, vol. 56(3), pages 403-443, August.
    15. Barry R. Chiswick & Yew Liang Lee & Paul W. Miller, 2003. "Schooling, Literacy, Numeracy and Labour Market Success," The Economic Record, The Economic Society of Australia, vol. 79(245), pages 165-181, June.
    16. Oded Galor & David N. Weil, 1998. "Population, Technology, and Growth: From Malthusian Stagnation to the Demographic Transition," Working Papers 98-3, Brown University, Department of Economics, revised 19 Aug 1998.
    17. Robert Myers, 1976. "An instance of reverse heaping of ages," Demography, Springer;Population Association of America (PAA), vol. 13(4), pages 577-580, November.
    18. David N. Weil & Oded Galor, 2000. "Population, Technology, and Growth: From Malthusian Stagnation to the Demographic Transition and Beyond," American Economic Review, American Economic Association, vol. 90(4), pages 806-828, September.
    19. Samuel Preston & Irma Elo & Ira Rosenwaike & Mark Hill, 1996. "African-american mortality at older ages: Results of a matching study," Demography, Springer;Population Association of America (PAA), vol. 33(2), pages 193-209, May.
    20. Jörg Baten & Dorothee Crayen, 2008. "Global Trends in Numeracy 1820-1949 and its Implications for Long-Run Growth," CESifo Working Paper Series 2218, CESifo.
    21. Heckman, James J, 1995. "Lessons from the Bell Curve," Journal of Political Economy, University of Chicago Press, vol. 103(5), pages 1091-1120, October.
    22. Long, Jason, 2005. "Rural-Urban Migration and Socioeconomic Mobility in Victorian Britain," The Journal of Economic History, Cambridge University Press, vol. 65(1), pages 1-35, March.
    23. Peter J. Klenow & Mark Bils, 2000. "Does Schooling Cause Growth?," American Economic Review, American Economic Association, vol. 90(5), pages 1160-1183, December.
    24. Cormac Ó Gráda, 2006. "Dublin Jewish Demography a Century Ago," The Economic and Social Review, Economic and Social Studies, vol. 37(2), pages 123-147.
    25. Michael F. Charette & Ronald Meng, 1998. "Literacy and Numeracy," Canadian Journal of Economics, Canadian Economics Association, vol. 31(3), pages 495-517, August.
    26. Ross Finnie & Ronald Meng, 2001. "Cognitive skills and the youth labour market," Applied Economics Letters, Taylor & Francis Journals, vol. 8(10), pages 675-679.
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    More about this item

    Keywords

    Human capital; Age heaping; Literacy; Long-term growth; Europe;
    All these keywords.

    JEL classification:

    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity
    • I20 - Health, Education, and Welfare - - Education - - - General
    • N13 - Economic History - - Macroeconomics and Monetary Economics; Industrial Structure; Growth; Fluctuations - - - Europe: Pre-1913
    • O14 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Industrialization; Manufacturing and Service Industries; Choice of Technology
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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