IDEAS home Printed from https://ideas.repec.org/p/nbr/nberte/0228.html
   My bibliography  Save this paper

Much Ado About Two: Reconsidering Retransformation and the Two-Part Model in Health Economics

Author

Listed:
  • John Mullahy

Abstract

In health economics applications involving outcomes (y) and covariates (x), it is often the case that the central inferential problems of interest involve E[y|x] and its associated partial effects or elasticities. Many such outcomes have two fundamental statistical properties: yò0; and the outcome y=0 is observed with sufficient frequency that the zeros cannot be ignored econometrically. Common approaches to estimation in such instances include Tobit, selection, and two-part models. This paper (1) describes circumstances where the standard two-part model with homoskedastic retransformation will fail to provide consistent inferences about important policy parameters; and (2) demonstrates some alternative approaches that are likely to prove helpful in applications.

Suggested Citation

  • John Mullahy, 1998. "Much Ado About Two: Reconsidering Retransformation and the Two-Part Model in Health Economics," NBER Technical Working Papers 0228, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberte:0228
    as

    Download full text from publisher

    File URL: http://www.nber.org/papers/t0228.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Manning, Willard G., 1998. "The logged dependent variable, heteroscedasticity, and the retransformation problem," Journal of Health Economics, Elsevier, vol. 17(3), pages 283-295, June.
    2. Manning, Willard G, et al, 1987. "Health Insurance and the Demand for Medical Care: Evidence from a Randomized Experiment," American Economic Review, American Economic Association, vol. 77(3), pages 251-277, June.
    3. Manning, W. G. & Duan, N. & Rogers, W. H., 1987. "Monte Carlo evidence on the choice between sample selection and two-part models," Journal of Econometrics, Elsevier, vol. 35(1), pages 59-82, May.
    4. Hay, Joel W & Leu, Robert & Rohrer, Paul, 1987. "Ordinary Least Squares and Sample-Selection Models of Health-Care Demand," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(4), pages 499-506, October.
    5. Davidson, Russell & MacKinnon, James G., 1993. "Estimation and Inference in Econometrics," OUP Catalogue, Oxford University Press, number 9780195060119, Decembrie.
    6. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 31(3), pages 129-137.
    7. Newhouse, Joseph P. & Phelps, Charles E. & Marquis, M. Susan, 1980. "On having your cake and eating it too : Econometric problems in estimating the demand for health services," Journal of Econometrics, Elsevier, vol. 13(3), pages 365-390, August.
    8. Wooldridge, Jeffrey M, 1992. "Some Alternatives to the Box-Cox Regression Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(4), pages 935-955, November.
    9. Winfried Pohlmeier & Volker Ulrich, 1995. "An Econometric Model of the Two-Part Decisionmaking Process in the Demand for Health Care," Journal of Human Resources, University of Wisconsin Press, vol. 30(2), pages 339-361.
    10. Hay, Joel W & Olsen, Randall J, 1984. "Let Them Eat Cake: A Note on Comparing Alternative Models of the Demand for Medical Care," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(3), pages 279-282, July.
    11. Cragg, John G, 1971. "Some Statistical Models for Limited Dependent Variables with Application to the Demand for Durable Goods," Econometrica, Econometric Society, vol. 39(5), pages 829-844, September.
    12. Duan, Naihua, et al, 1983. "A Comparison of Alternative Models for the Demand for Medical Care," Journal of Business & Economic Statistics, American Statistical Association, vol. 1(2), pages 115-126, April.
    13. Mullahy, John, 1986. "Specification and testing of some modified count data models," Journal of Econometrics, Elsevier, vol. 33(3), pages 341-365, December.
    14. Matthew J. Eichner & Mark B. McClellan & David A. Wise, 1997. "Health Expenditure Persistence and the Feasibility of Medical Savings Accounts," NBER Chapters, in: Tax Policy and the Economy, Volume 11, pages 91-128, National Bureau of Economic Research, Inc.
    15. Manning, Willard G. & Blumberg, Linda & Moulton, Lawrence H., 1995. "The demand for alcohol: The differential response to price," Journal of Health Economics, Elsevier, vol. 14(2), pages 123-148, June.
    16. Andrews, Donald W K, 1988. "Chi-Square Diagnostic Tests for Econometric Models: Theory," Econometrica, Econometric Society, vol. 56(6), pages 1419-1453, November.
    17. Pagan, Adrian & Vella, Frank, 1989. "Diagnostic Tests for Models Based on Individual Data: A Survey," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 4(S), pages 29-59, Supplemen.
    Full references (including those not matched with items on IDEAS)

    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. Mullahy, John, 1998. "Much ado about two: reconsidering retransformation and the two-part model in health econometrics," Journal of Health Economics, Elsevier, vol. 17(3), pages 247-281, June.
    2. Leung, Siu Fai & Yu, Shihti, 1996. "On the choice between sample selection and two-part models," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 197-229.
    3. Mocan, H. Naci & Tekin, Erdal & Zax, Jeffrey S., 2004. "The Demand for Medical Care in Urban China," World Development, Elsevier, vol. 32(2), pages 289-304, February.
    4. Kohei Enami & John Mullahy, 2009. "Tobit at fifty: a brief history of Tobin's remarkable estimator, of related empirical methods, and of limited dependent variable econometrics in health economics," Health Economics, John Wiley & Sons, Ltd., vol. 18(6), pages 619-628, June.
    5. Patrick Puhani, 2000. "The Heckman Correction for Sample Selection and Its Critique," Journal of Economic Surveys, Wiley Blackwell, vol. 14(1), pages 53-68, February.
    6. Kohei Enami & John Mullahy, 2008. "Tobit at Fifty: A Brief History of Tobin's Remarkable Estimator, of Related Empirical Methods, and of Limited Dependent Variable Econometrics in Health Economics," NBER Working Papers 14512, National Bureau of Economic Research, Inc.
    7. Valerie Albouy & Laurent Davezies & Thierry Debrand, 2009. "Dynamic Estimation of Health Expenditure: A new approach for simulating individual expenditure," Working Papers DT20, IRDES institut for research and information in health economics, revised Jan 2009.
    8. Jeonghoon Ahn, 2004. "Panel Data Sample Selection Model: an Application to Employee Choice of Health Plan Type and Medical Cost Estimation," Econometric Society 2004 Far Eastern Meetings 560, Econometric Society.
    9. Liu, Lei & Strawderman, Robert L. & Cowen, Mark E. & Shih, Ya-Chen T., 2010. "A flexible two-part random effects model for correlated medical costs," Journal of Health Economics, Elsevier, vol. 29(1), pages 110-123, January.
    10. Carol Rapaport & Christopher A. Trenholm, 2000. "What do we really know about trends in outpatient medical expenditures for children, 1977-1987?," Staff Reports 97, Federal Reserve Bank of New York.
    11. Martijn van Hasselt, 2005. "Bayesian Sampling Algorithms for the Sample Selection and Two-Part Models," Computing in Economics and Finance 2005 241, Society for Computational Economics.
    12. Donald S. Kenkel & Joseph V. Terza, 2001. "The effect of physician advice on alcohol consumption: count regression with an endogenous treatment effect," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(2), pages 165-184.
    13. Deb, Partha & Trivedi, Pravin K., 2002. "The structure of demand for health care: latent class versus two-part models," Journal of Health Economics, Elsevier, vol. 21(4), pages 601-625, July.
    14. Kevin E. Staub, 2014. "A Causal Interpretation of Extensive and Intensive Margin Effects in Generalized Tobit Models," The Review of Economics and Statistics, MIT Press, vol. 96(2), pages 371-375, May.
    15. van Doorslaer, Eddy & Wagstaff, Adam & van der Burg, Hattem & Christiansen, Terkel & De Graeve, Diana & Duchesne, Inge & Gerdtham, Ulf-G & Gerfin, Michael & Geurts, Jose & Gross, Lorna, 2000. "Equity in the delivery of health care in Europe and the US," Journal of Health Economics, Elsevier, vol. 19(5), pages 553-583, September.
    16. Matloob Piracha & Stephane Mahuteau & Massimiliano Tani, 2010. "Selection Policy and Immigrants’ Remittance Behaviour," Studies in Economics 1003, School of Economics, University of Kent.
    17. Manning, Willard G. & Mullahy, John, 2001. "Estimating log models: to transform or not to transform?," Journal of Health Economics, Elsevier, vol. 20(4), pages 461-494, July.
    18. John Mullahy, 2015. "In Memoriam: Willard G. Manning, 1946‐2014," Health Economics, John Wiley & Sons, Ltd., vol. 24(3), pages 253-257, March.
    19. Jianmei Zhao & Hai Zhong, 2015. "Medical expenditure in urban China: a quantile regression analysis," International Journal of Health Economics and Management, Springer, vol. 15(4), pages 387-406, December.
    20. Madden, David, 2008. "Sample selection versus two-part models revisited: The case of female smoking and drinking," Journal of Health Economics, Elsevier, vol. 27(2), pages 300-307, March.

    More about this item

    JEL classification:

    • I1 - Health, Education, and Welfare - - Health
    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables

    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:nberte:0228. 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.