IDEAS home Printed from https://ideas.repec.org/p/nbr/nberwo/14364.html
   My bibliography  Save this paper

Roy Model Sorting and Non-Random Selection in the Valuation of a Statistical Life

Author

Listed:
  • Thomas DeLeire
  • Christopher Timmins

Abstract

Wage-hedonics is used to recover the value of a statistical life by exploiting the fact that workers choosing riskier occupations will be compensated with a higher wage. However, Roy (1951) suggests that observed wage distributions will be distorted if individuals select into jobs according to idiosyncratic returns. We illustrate how this type of sorting may bias wage-hedonic VSL estimates and describe two estimators that correct for it. Using data from the CPS, we recover VSL estimates that are three to four times larger than those based on the traditional techniques, statistically significant, and robust to a wide array of specifications.

Suggested Citation

  • Thomas DeLeire & Christopher Timmins, 2008. "Roy Model Sorting and Non-Random Selection in the Valuation of a Statistical Life," NBER Working Papers 14364, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:14364
    Note: EEE LS
    as

    Download full text from publisher

    File URL: http://www.nber.org/papers/w14364.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Joseph E. Aldy & W. Kip Viscusi, 2008. "Adjusting the Value of a Statistical Life for Age and Cohort Effects," The Review of Economics and Statistics, MIT Press, vol. 90(3), pages 573-581, August.
    2. Dora L. Costa & Matthew E. Kahn, 2004. "Changes in the Value of Life, 1940--1980," Journal of Risk and Uncertainty, Springer, vol. 29(2), pages 159-180, September.
    3. Hersch, Joni & Pickton, Todd S, 1995. "Risk-Taking Activities and Heterogeneity of Job-Risk Tradeoffs," Journal of Risk and Uncertainty, Springer, vol. 11(3), pages 205-217, December.
    4. Heckman, James J & Honore, Bo E, 1990. "The Empirical Content of the Roy Model," Econometrica, Econometric Society, vol. 58(5), pages 1121-1149, September.
    5. Viscusi, W Kip, 2003. "Racial Differences in Labor Market Values of a Statistical Life," Journal of Risk and Uncertainty, Springer, vol. 27(3), pages 239-256, December.
    6. Patrick Bajari & Matthew E. Kahn, 2005. "Estimating Housing Demand With an Application to Explaining Racial Segregation in Cities," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 20-33, January.
    7. Scotton, Carol R. & Taylor, Laura O., 2011. "Valuing risk reductions: Incorporating risk heterogeneity into a revealed preference framework," Resource and Energy Economics, Elsevier, vol. 33(2), pages 381-397, May.
    8. Viscusi, W Kip & Aldy, Joseph E, 2003. "The Value of a Statistical Life: A Critical Review of Market Estimates throughout the World," Journal of Risk and Uncertainty, Springer, vol. 27(1), pages 5-76, August.
    9. Patrick Bajari & C. Lanier Benkard, 2005. "Demand Estimation with Heterogeneous Consumers and Unobserved Product Characteristics: A Hedonic Approach," Journal of Political Economy, University of Chicago Press, vol. 113(6), pages 1239-1276, December.
    10. Portney, Paul R., 1981. "Housing prices, health effects, and valuing reductions in risk of death," Journal of Environmental Economics and Management, Elsevier, vol. 8(1), pages 72-78, March.
    11. W. Kip Viscusi & Joni Hersch, 2001. "Cigarette Smokers As Job Risk Takers," The Review of Economics and Statistics, MIT Press, vol. 83(2), pages 269-280, May.
    12. Blomquist, Glenn C, 1979. "Value of Life Saving: Implications of Consumption Activity," Journal of Political Economy, University of Chicago Press, vol. 87(3), pages 540-558, June.
    13. Revesz, Richard L., 1999. "Environmental Regulation, Cost-Benefit Analysis, and the Discounting of Human Lives," Berkeley Olin Program in Law & Economics, Working Paper Series qt57q8284f, Berkeley Olin Program in Law & Economics.
    14. Orley Ashenfelter & Michael Greenstone, 2004. "Using Mandated Speed Limits to Measure the Value of a Statistical Life," Journal of Political Economy, University of Chicago Press, vol. 112(S1), pages 226-267, February.
    15. R.D. Gill, 1980. "Censoring and Stochastic Integrals," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 34(2), pages 124-124, June.
    16. Thomas J. Kniesner & W. Kip Viscusi & Christopher Woock & James P. Ziliak, 2006. "Pinning Down the Value of Statistical Life," Center for Policy Research Working Papers 85, Center for Policy Research, Maxwell School, Syracuse University.
    17. V. Kerry Smith & Mary F. Evans & Hyun Kim & Donald H. Taylor, 2004. "Do the Near-Elderly Value Mortality Risks Differently?," The Review of Economics and Statistics, MIT Press, vol. 86(1), pages 423-429, February.
    18. Patrick Bayer & Shakeeb Khan & Christopher Timmins, 2011. "Nonparametric Identification and Estimation in a Roy Model With Common Nonpecuniary Returns," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(2), pages 201-215, April.
    19. Charles Brown, 1980. "Equalizing Differences in the Labor Market," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 94(1), pages 113-134.
    20. A. D. Roy, 1951. "Some Thoughts On The Distribution Of Earnings," Oxford Economic Papers, Oxford University Press, vol. 3(2), pages 135-146.
    21. Black, Dan A & Kniesner, Thomas J, 2003. "On the Measurement of Job Risk in Hedonic Wage Models," Journal of Risk and Uncertainty, Springer, vol. 27(3), pages 205-220, December.
    22. Thomas J. Kniesner & W. Kip Viscusi & Christopher Woock & James P. Ziliak, 2012. "The Value of a Statistical Life: Evidence from Panel Data," The Review of Economics and Statistics, MIT Press, vol. 94(1), pages 74-87, February.
    23. Ted Gayer & James T. Hamilton & W. Kip Viscusi, 2000. "Private Values Of Risk Tradeoffs At Superfund Sites: Housing Market Evidence On Learning About Risk," The Review of Economics and Statistics, MIT Press, vol. 82(3), pages 439-451, August.
    24. Donald W. K. Andrews, 2000. "Inconsistency of the Bootstrap when a Parameter Is on the Boundary of the Parameter Space," Econometrica, Econometric Society, vol. 68(2), pages 399-406, March.
    25. Thomas DeLeire & Helen Levy, 2004. "Worker Sorting and the Risk of Death on the Job," Journal of Labor Economics, University of Chicago Press, vol. 22(4), pages 925-954, October.
    26. Alberini, Anna & Cropper, Maureen & Krupnick, Alan & Simon, N.B.Nathalie B., 2004. "Does the value of a statistical life vary with age and health status? Evidence from the US and Canada," Journal of Environmental Economics and Management, Elsevier, vol. 48(1), pages 769-792, July.
    27. Jason F. Shogren & Tommy Stamland, 2002. "Skill and the Value of Life," Journal of Political Economy, University of Chicago Press, vol. 110(5), pages 1168-1197, October.
    28. Joni Hersch & W. Kip Viscusi, 1990. "Cigarette Smoking, Seatbelt Use, and Differences in Wage-Risk Tradeoffs," Journal of Human Resources, University of Wisconsin Press, vol. 25(2), pages 202-227.
    29. Savage, Ian, 1993. "An Empirical Investigation into the Effect of Psychological Perceptions on the Willingness-to-Pay to Reduce Risk," Journal of Risk and Uncertainty, Springer, vol. 6(1), pages 75-90, January.
    30. Heckman, James J, 1990. "Varieties of Selection Bias," American Economic Review, American Economic Association, vol. 80(2), pages 313-318, May.
    31. Atkinson, Scott E & Halvorsen, Robert, 1990. "The Valuation of Risks to Life: Evidence from the Market for Automobiles," The Review of Economics and Statistics, MIT Press, vol. 72(1), pages 133-136, February.
    32. Dreyfus, Mark K & Viscusi, W Kip, 1995. "Rates of Time Preference and Consumer Valuations of Automobile Safety and Fuel Efficiency," Journal of Law and Economics, University of Chicago Press, vol. 38(1), pages 79-105, April.
    33. Hwang, Hae-shin & Reed, W Robert & Hubbard, Carlton, 1992. "Compensating Wage Differentials and Unobserved Productivity," Journal of Political Economy, University of Chicago Press, vol. 100(4), pages 835-858, August.
    34. Patrick Bayer & Shakeeb Khan & Christopher Timmins, 2008. "Nonparametric Identification and Estimation in a Generalized Roy Model," NBER Working Papers 13949, National Bureau of Economic Research, Inc.
    35. repec:reg:rpubli:282 is not listed on IDEAS
    36. Lott, John R, Jr & Manning, Richard L, 2000. "Have Changing Liability Rules Compensated Workers Twice for Occupational Hazards? Earnings Premiums and Cancer Risks," The Journal of Legal Studies, University of Chicago Press, vol. 29(1), pages 99-130, January.
    37. Jahn K. Hakes & W. Kip Viscusi, 2007. "Automobile Seatbelt Usage and the Value of Statistical Life," Southern Economic Journal, John Wiley & Sons, vol. 73(3), pages 659-676, January.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Christoph M. Rheinberger & Felix Schläpfer & Michael Lobsiger, 2017. "A Novel Approach to Estimating the Demand Value of Road Safety," Working Papers 2017.15, Fondazione Eni Enrico Mattei.
    2. Bastian Ravesteijn & Hans van Kippersluis & Eddy van Doorslaer, 2018. "The wear and tear on health: What is the role of occupation?," Health Economics, John Wiley & Sons, Ltd., vol. 27(2), pages 69-86, February.
    3. Henry A. Roman & James K. Hammitt & Tyra L. Walsh & David M. Stieb, 2012. "Expert Elicitation of the Value per Statistical Life in an Air Pollution Context," Risk Analysis, John Wiley & Sons, vol. 32(12), pages 2133-2151, December.
    4. Shanjun Li, 2012. "Traffic safety and vehicle choice: quantifying the effects of the ‘arms race’ on American roads," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 27(1), pages 34-62, January.
    5. Lisa A. Robinson & James K. Hammitt, 2016. "Valuing Reductions in Fatal Illness Risks: Implications of Recent Research," Health Economics, John Wiley & Sons, Ltd., vol. 25(8), pages 1039-1052, August.
    6. Strulik, Holger, 2022. "A health economic theory of occupational choice, aging, and longevity," Journal of Health Economics, Elsevier, vol. 82(C).
    7. Joshua Graff Zivin & Matthew Neidell, 2013. "Environment, Health, and Human Capital," Journal of Economic Literature, American Economic Association, vol. 51(3), pages 689-730, September.
    8. Jonathan M. Lee & Laura O. Taylor, 2019. "Randomized Safety Inspections and Risk Exposure on the Job: Quasi-experimental Estimates of the Value of a Statistical Life," American Economic Journal: Economic Policy, American Economic Association, vol. 11(4), pages 350-374, November.
    9. W. Viscusi, 2010. "The heterogeneity of the value of statistical life: Introduction and overview," Journal of Risk and Uncertainty, Springer, vol. 40(1), pages 1-13, February.
    10. Lavin, Felipe Vasquez & Bratti, Luna & Orrego, Sergio & Barrientos, Manuel, 2020. "Assessing the Use of Pseudo-panels to Estimate the Value of Statistical Life in Developing Countries," EfD Discussion Paper 20-20, Environment for Development, University of Gothenburg.
    11. Kniesner, Thomas J. & Sullivan, Ryan & Viscusi, W. Kip, 2024. "The Military VSL," IZA Discussion Papers 17441, Institute of Labor Economics (IZA).
    12. Ketcham, Jonathan & Kuminoff, Nicolai & Saha, Nirman, 2023. "Valuing Statistical Life Using Seniors' Medical Spending," RFF Working Paper Series 23-16, Resources for the Future.
    13. Rheinberger, Christoph M. & Schläpfer, Felix & Lobsiger, Michael, 2018. "A novel approach to estimating the demand value of public safety," Journal of Environmental Economics and Management, Elsevier, vol. 89(C), pages 285-305.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Viscusi, W Kip & Aldy, Joseph E, 2003. "The Value of a Statistical Life: A Critical Review of Market Estimates throughout the World," Journal of Risk and Uncertainty, Springer, vol. 27(1), pages 5-76, August.
    2. Cropper, Maureen L. & Joiner, Emily & Krupnick, Alan, 2023. "Revisiting the Environmental Protection Agency's Value of a Statistical Life," RFF Working Paper Series 23-30, Resources for the Future.
    3. Thomas J. Kniesner & W. Kip Viscusi, 2023. "Compensating Differentials for Occupational Health and Safety Risks: Implications of Recent Evidence," Research in Labor Economics, in: 50th Celebratory Volume, volume 50, pages 83-116, Emerald Group Publishing Limited.
    4. James O’Brien, 2018. "Age, autos, and the value of a statistical life," Journal of Risk and Uncertainty, Springer, vol. 57(1), pages 51-79, August.
    5. Anna Alberini, 2017. "Measuring the economic value of the effects of chemicals on ecological systems and human health," OECD Environment Working Papers 116, OECD Publishing.
    6. Maureen Cropper & James K. Hammitt & Lisa A. Robinson, 2011. "Valuing Mortality Risk Reductions: Progress and Challenges," Annual Review of Resource Economics, Annual Reviews, vol. 3(1), pages 313-336, October.
    7. Chris Rohlfs & Ryan Sullivan & Thomas Kniesner, 2015. "New Estimates of the Value of a Statistical Life Using Air Bag Regulations as a Quasi-experiment," American Economic Journal: Economic Policy, American Economic Association, vol. 7(1), pages 331-359, February.
    8. Henrik Andersson & Nicolas Treich, 2011. "The Value of a Statistical Life," Chapters, in: André de Palma & Robin Lindsey & Emile Quinet & Roger Vickerman (ed.), A Handbook of Transport Economics, chapter 17, Edward Elgar Publishing.
    9. Andreas Kuhn & Oliver Ruf, 2009. "The Value of a Statistical Injury: New Evidence from the Swiss Labor Market," NRN working papers 2009-15, The Austrian Center for Labor Economics and the Analysis of the Welfare State, Johannes Kepler University Linz, Austria.
    10. Kuhn, Andreas & Ruf, Oliver, 2009. "The Value of a Statistical Injury: New Evidence from the Swiss Labor Market," IZA Discussion Papers 4409, Institute of Labor Economics (IZA).
    11. Thomas J. Kniesner & W. Kip Viscusi & Christopher Woock & James P. Ziliak, 2012. "The Value of a Statistical Life: Evidence from Panel Data," The Review of Economics and Statistics, MIT Press, vol. 94(1), pages 74-87, February.
    12. James Hammitt & Jin-Tan Liu, 2004. "Effects of Disease Type and Latency on the Value of Mortality Risk," Journal of Risk and Uncertainty, Springer, vol. 28(1), pages 73-95, January.
    13. Thomas J. Kniesner & W. Kip Viscusi & Christopher Woock & James P. Ziliak, 2006. "Pinning Down the Value of Statistical Life," Center for Policy Research Working Papers 85, Center for Policy Research, Maxwell School, Syracuse University.
    14. Christoph M. Rheinberger & Felix Schläpfer & Michael Lobsiger, 2017. "A Novel Approach to Estimating the Demand Value of Road Safety," Working Papers 2017.15, Fondazione Eni Enrico Mattei.
    15. Dionne, Georges & Lebeau, Martin, 2010. "Le calcul de la valeur statistique d’une vie humaine," L'Actualité Economique, Société Canadienne de Science Economique, vol. 86(4), pages 487-530, décembre.
    16. Jonathan M. Lee & Laura O. Taylor, 2019. "Randomized Safety Inspections and Risk Exposure on the Job: Quasi-experimental Estimates of the Value of a Statistical Life," American Economic Journal: Economic Policy, American Economic Association, vol. 11(4), pages 350-374, November.
    17. Kip Viscusi, W. & Aldy, Joseph E., 2007. "Labor market estimates of the senior discount for the value of statistical life," Journal of Environmental Economics and Management, Elsevier, vol. 53(3), pages 377-392, May.
    18. Glenn C. Blomquist, 2004. "Self-Protection and Averting Behavior, Values of Statistical Lives, and Benefit Cost Analysis of Environmental Policy," Review of Economics of the Household, Springer, vol. 2(1), pages 89-110, March.
    19. Lavin, Felipe Vasquez & Bratti, Luna & Orrego, Sergio & Barrientos, Manuel, 2020. "Assessing the Use of Pseudo-panels to Estimate the Value of Statistical Life in Developing Countries," EfD Discussion Paper 20-20, Environment for Development, University of Gothenburg.
    20. Cameron, Trudy Ann & DeShazo, J.R., 2013. "Demand for health risk reductions," Journal of Environmental Economics and Management, Elsevier, vol. 65(1), pages 87-109.

    More about this item

    JEL classification:

    • J17 - Labor and Demographic Economics - - Demographic Economics - - - Value of Life; Foregone Income
    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials
    • Q5 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics
    • Q51 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Valuation of Environmental Effects

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nbr:nberwo:14364. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/nberrus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.