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Diagnosing Sample-Selection Bias in Historical Heights: A Reply to Komlos and A’Hearn

Published online by Cambridge University Press:  01 November 2019

Howard Bodenhorn
Affiliation:
Howard Bodenhorn is Professor, Clemson University 170 Sirrine Hall, Clemson, SC 29634 and NBER, Cambridge, MA. E-mail: BODNHRN@clemson.edu.
Timothy W. Guinnane
Affiliation:
Timothy W. Guinnane is Professor, Yale University, 27 Hillhouse, Room 12, New Haven, CT 06520. E-mail: timothy.guinnane@yale.edu.
Thomas A. Mroz
Affiliation:
Thomas A. Mroz is Professor, Andrew Young School, Georgia State University, 55 Park Place, Room 660, Atlanta, GA 30303 and the Federal Reserve Bank of Atlanta, Atlanta, GA. E-mail: tmroz@gsu.edu.

Abstract

Our 2017 article in this Journal stresses the pitfalls of using choice-based samples in economic history. A prominent example is the literature addressing the so-called antebellum puzzle. Heights researchers claim that Americans grew shorter in the first half of the nineteenth century, a period of robust economic growth. We argue that this result relies on choice-based samples. Without knowing the process that led to inclusion in the sample, researchers cannot properly estimate conditional mean heights. We proposed a diagnostic that can detect, but not correct for, selection bias. Komlos and A’Hearn’s interpretation of our analysis confuses diagnosis with cure. We dispute their view that selection bias has been appreciated in the heights literature.

Type
Article
Copyright
© The Economic History Association 2019 

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Footnotes

The views expressed are those of the authors’ and not necessarily those of the Federal Reserve Bank of Atlanta or the Federal Reserve System.

References

REFERENCES

A’Hearn, Brian. “The Antebellum Puzzle Revisited: A New Look at the Physical Stature of Union Army Recruits During the Civil War.” In The Biological Standard of Living in Comparative Perspective, edited by Komlos, John and Baten, Joerg, 250–67. Stuttgart, Germany: Steiner, 1998.Google Scholar
Bailey, Martha, Cole, Connor, Henderson, Morgan, and Massey, Catherine. “How Well Do Automated Linking Methods Perform in Historical Data? Evidence from New U.S. Ground Truth.” NBER Working Paper No. 24019, Cambridge, MA, November 2017.Google Scholar
Bodenhorn, Howard, Timothy, W. Guinnane, and Thomas, A. Mroz. “Problems of Sample-Selection Bias in the Historical Heights Literature: A Theoretical and Econometric Analysis.” Yale University, Economic Growth Center Discussion Paper No. 1023, New Haven, CT, 2013.Google Scholar
Bodenhorn, Howard, Timothy, W. Guinnane, and Thomas, A. Mroz. “Caveat Lector: Sample Selection in Historical Heights and the Interpretation of Early Industrializing Economies.” NBER Working Paper No. 19955, Cambridge, MA, March 2014.Google Scholar
Bodenhorn, Howard, Timothy, W. Guinnane, and Thomas, A. Mroz. “Sample-Selection Biases and the Industrialization Puzzle.Journal of Economic History 77, no. 1 (2017): 171207.CrossRefGoogle Scholar
Bodenhorn, Howard, Timothy, W. Guinnane, and Thomas, A. Mroz. “Replication: Diagnosing Sample-Selection Bias in Historical Heights: A Reply to Komlos and A’Hearn.” Ann Arbor, MI: Inter-university Consortium for Political and Social Research [distributor], 2019a. https://doi.org/10.3886/E112001V1.CrossRefGoogle Scholar
Bodenhorn, Howard, Timothy, W. Guinnane, and Thomas, A. Mroz. “Theory and Diagnostics for Selection Biases in Historical Height Samples.” In Research in Economic History vol. 35, edited by Wolcott, Susan and Hanes, Christopher, 59-89. Bingley, UK: Emerald Publishing Limited, 2019b.CrossRefGoogle Scholar
Bodenhorn, Howard, Moehling, Carolyn, and Gregory, N. Price. “Short Criminals: Stature and Crime in Early America.Journal of Law and Economics 55, no. 2 (2012): 393419.CrossRefGoogle Scholar
Broadberry, Stephen, Bruce, M. S. Campbell, Klein, Alexander, Overton, Mark, and van Leeuwen, Bas. British Economic Growth, 12701870. Cambridge: Cambridge University Press, 2015.Google Scholar
Craig, Lee A., and Weiss, Thomas. “Nutritional Status and Agricultural Surpluses in the Antebellum United States.” In The Biological Standard of Living in Comparative Perspective, edited by Komlos, John and Baten, Joerg, 190207. Stuttgart, Germany: Steiner, 1998.Google Scholar
Cuff, Timothy. “Variations and Trends in the Stature of Pennsylvanians, 1820-1860.” In The Biological Standard of Living in Comparative Perspective, edited by Komlos, John and Baten, Joerg, 208–35. Stuttgart, Germany: Steiner, 1998.Google Scholar
Fogel, Robert W., Dora, L. Costa, Haines, Michael, Lee, Chulhee, Nguyen, Louis, Pope, Clayne, Rosenberg, Irvin, Scrimshaw, Nevin, Trussell, James, Sven Wilson, Larry T. Wimmer, John Kim, Bassett, Julene, Burton, Joseph, and Yetter, Noelle. Aging of Veterans of the Union Army: Version M-5. Chicago: Center for Population Economics, University of Chicago Graduate School of Business, Department of Economics, Brigham Young University, and The National Bureau of Economic Research, 2000.Google Scholar
Gallman, Robert E.Dietary Change in Antebellum America.Journal of Economic History 56, no. 1 (1996): 193201.CrossRefGoogle Scholar
Gronau, Reuben. “Wage Comparisons-A Selectivity Bias.Journal of Political Economy 82, no. 6 (1974): 1119–44.CrossRefGoogle Scholar
Grubb, Farley. “Withering Heights: Did Indentured Servants Shrink from an Encounter with Malthus? A Comment on Komlos.Economic History Review 52, no. 4 (1999a): 714–29.CrossRefGoogle Scholar
Grubb, Farley. “Lilliputians and Brobdingnagians, Stature in British Colonial America: Evidence from Servants, Convicts, and Apprentices.” Research in Economic History 19 (1999b): 139204.Google Scholar
Haines, Michael R.Health, Height, Nutrition, and Mortality: Evidence on the ‘Antebellum Puzzle’ from Union Army Recruits for New York State and the United States.” In The Biological Standard of Living in Comparative Perspective, edited by Komlos, John and Baten, Joerg, 155–80. Stuttgart, Germany: Steiner, 1998.Google Scholar
Heckman, James J.Sample Selection Bias as a Specification Error.Econometrica 47, no. 1 (1979): 153–61.CrossRefGoogle Scholar
Heckman, James J., and MaCurdy, Thomas E.. “Labor Econometrics.” In Handbook of Econometrics, Vol. III, edited by Zvi Grilliches and Michael D. Intrilligator, 1917-77. Amsterdam, New York, Oxford, and Tokyo: North Holland, 1986.CrossRefGoogle Scholar
Komlos, John. “Shrinking in a Growing Economy? The Mystery of Physical Stature during the Industrial Revolution.Journal of Economic History 58, no. 3 (1998a): 779802.CrossRefGoogle Scholar
Komlos, John. “On the Biological Standard of Living of African-Americans: The Case of the Civil War Soldiers.” In The Biological Standard of Living in Comparative Perspective, edited by Komlos, John and Baten, Joerg, 236–49. Stuttgart, Germany: Steiner, 1998b.Google Scholar
Komlos, John. “How To (and How Not to) Analyze Deficient Height Samples.” Historical Methods: A Journal of Quantitative and Interdisciplinary History 37, no. 4 (2004): 160–73.CrossRefGoogle Scholar
Komlos, John. “Shrinking in a Growing Economy is Not So Puzzling after All.” Economics and Human Biology 32 (2019): 4055.CrossRefGoogle Scholar
Komlos, John, and Brian A’Hearn. “Clarifications of a Puzzle: The Decline in Nutritional Status at the Onset of Modern Economic Growth in the United States.” Journal of Economic History 79, no. 4 (2019): 1129–53.Google Scholar
Mangel, Marc, and Francisco, J. Samaniego. “Abraham Wald’s Work on Aircraft Survivability.Journal of the American Statistical Association 79, no. 386 (1984a): 259–67.CrossRefGoogle Scholar
Mangel, Marc, and Francisco, J. Samaniego. “Abraham Wald’s Work on Aircraft Survivability: Rejoinder.” Journal of the American Statistical Association 79, no. 386 (1984b): 270–71.CrossRefGoogle Scholar
Margo, Robert A., and Richard, H. Steckel. “Heights of Native-Born Whites During the Antebellum Period.Journal of Economic History 43, no. 1 (1983):167–74.CrossRefGoogle ScholarPubMed
Mokyr, Joel, and Cormac, Ó Gráda. “The Heights of the British and the Irish C. 18001815: Evidence from Recruits to the East India Company’s Army.” In Stature, Living Standards, and Economic Development: Essays in Anthropometric History, edited by Komlos, John, 6075. Chicago: University of Chicago Press, 1994.Google Scholar
Mokyr, Joel, and Cormac, Ó Gráda. “Height and Health in the United Kingdom 1815-1860: Evidence from the East India Company Army.” Explorations in Economic History 33, no. 2 (1996): 141–68.CrossRefGoogle Scholar
Pritchett, Jonathan B., and Freudenberger, Herman. “A Peculiar Sample: The Selection of Slaves for the New Orleans Market.Journal of Economic History 52, no. 1 (1992): 109–27.CrossRefGoogle Scholar
Rees, R., Komlos, John, Long, Ngo V., and Ulrich, Woitek. “Optimal Food Allocation in a Slave Economy.Journal of Population Economics 16, no. 1 (2003): 2136.CrossRefGoogle Scholar
Schmertmann, Carl. “Selectivity Bias Correction Methods in Polychotomous Sample Selection Models.Journal of Econometrics 62 (1994): 101–32.CrossRefGoogle Scholar
Squicciarini, Mara P., and Voigtländer, Nico. “Human Capital and Industrialization: Evidence from the Age of Enlightenment.Quarterly Journal of Economics 130, no. 4 (2015): 1825–83.CrossRefGoogle Scholar
Tunali, Insan. “A General Structure for Models of Double Selection and an Application to a Joint Migration/Earnings Process with Remigration.In Research in Labor Economics, Vol. 8, Part B, edited by Ehrenberg, R., 235–82. Greenwich, CT: JAI Press, 1986.Google Scholar
Vella, Francis. “Estimating Models with Sample Selection Bias: A Survey.Journal of Human Resources 33, no. 1 (1998): 127–69.CrossRefGoogle Scholar
Wallis, W. Allen. “The Statistical Research Group, 1942-1945.Journal of the American Statistical Association 75, no. 370 (1980a): 320–30.Google Scholar
Wallis, W. Allen. “The Statistical Research Group, 1942-1945: Rejoinder.” Journal of the American Statistical Association 75, no. 370 (1980b): 334–35.CrossRefGoogle Scholar
Zimran, Ariell. “Sample-Selection Bias and Height Trends in the Nineteenth-Century United States.Journal of Economic History 79, no. 1 (2019): 99138.CrossRefGoogle Scholar