IDEAS home Printed from https://ideas.repec.org/p/zur/econwp/151.html
   My bibliography  Save this paper

A dynamic hurdle model for zero-inflated count data: with an application to health care utilization

Author

Listed:
  • Gregori Baetschmann
  • Rainer Winkelmann

Abstract

Excess zeros are encountered in many empirical count data applications. We provide a new explanation of extra zeros, related to the underlying stochastic process that generates events. The process has two rates, a lower rate until the first event, and a higher one thereafter. We derive the corresponding distribution of the number of events during a fixed period and extend it to account for observed and unobserved heterogeneity. An application to the socio-economic determinants of the individual number of doctor visits in Germany illustrates the usefulness of the new approach.

Suggested Citation

  • Gregori Baetschmann & Rainer Winkelmann, 2014. "A dynamic hurdle model for zero-inflated count data: with an application to health care utilization," ECON - Working Papers 151, Department of Economics - University of Zurich.
    • Handle: RePEc:zur:econwp:151
    as

    Download full text from publisher

    File URL: https://www.zora.uzh.ch/id/eprint/95040/1/econwp151.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Cameron,A. Colin & Trivedi,Pravin K., 2013. "Regression Analysis of Count Data," Cambridge Books, Cambridge University Press, number 9781107667273.
    2. Cameron, A Colin & Trivedi, Pravin K, 1986. "Econometric Models Based on Count Data: Comparisons and Applications of Some Estimators and Tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 1(1), pages 29-53, January.
    3. Mullahy, John, 1986. "Specification and testing of some modified count data models," Journal of Econometrics, Elsevier, vol. 33(3), pages 341-365, December.
    4. Pizer, Steven D. & Prentice, Julia C., 2011. "Time is money: Outpatient waiting times and health insurance choices of elderly veterans in the United States," Journal of Health Economics, Elsevier, vol. 30(4), pages 626-636, July.
    5. repec:bla:econom:v:47:y:1980:i:187:p:247-83 is not listed on IDEAS
    6. Rainer Winkelmann, 2008. "Econometric Analysis of Count Data," Springer Books, Springer, edition 0, number 978-3-540-78389-3, December.
    7. Hausman, Jerry & Hall, Bronwyn H & Griliches, Zvi, 1984. "Econometric Models for Count Data with an Application to the Patents-R&D Relationship," Econometrica, Econometric Society, vol. 52(4), pages 909-938, July.
    8. Nazmi Sari, 2009. "Physical inactivity and its impact on healthcare utilization," Health Economics, John Wiley & Sons, Ltd., vol. 18(8), pages 885-901, August.
    9. Schmitz, Hendrik, 2013. "Practice budgets and the patient mix of physicians – The effect of a remuneration system reform on health care utilisation," Journal of Health Economics, Elsevier, vol. 32(6), pages 1240-1249.
    10. Gert G. Wagner & Joachim R. Frick & Jürgen Schupp, 2007. "The German Socio-Economic Panel Study (SOEP) – Scope, Evolution and Enhancements," Schmollers Jahrbuch : Journal of Applied Social Science Studies / Zeitschrift für Wirtschafts- und Sozialwissenschaften, Duncker & Humblot, Berlin, vol. 127(1), pages 139-169.
    11. Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-333, March.
    12. Helmut Farbmacher & Joachim Winter, 2013. "Per‐Period Co‐Payments And The Demand For Health Care: Evidence From Survey And Claims Data," Health Economics, John Wiley & Sons, Ltd., vol. 22(9), pages 1111-1123, September.
    13. Michele Campolieti, 2002. "The recurrence of occupational injuries: estimates from a zero inflated count model," Applied Economics Letters, Taylor & Francis Journals, vol. 9(9), pages 595-600.
    14. Winkelmann, Rainer, 1995. "Duration Dependence and Dispersion in Count-Data Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(4), pages 467-474, October.
    15. 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.
    16. McShane, Blake & Adrian, Moshe & Bradlow, Eric T & Fader, Peter S, 2008. "Count Models Based on Weibull Interarrival Times," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 369-378.
    17. Street, Andrew & Jones, Andrew & Furuta, Aya, 1999. "Cost-sharing and pharmaceutical utilisation and expenditure in Russia," Journal of Health Economics, Elsevier, vol. 18(4), pages 459-472, August.
    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. Kevin E. Staub & Rainer Winkelmann, 2013. "Consistent Estimation Of Zero‐Inflated Count Models," Health Economics, John Wiley & Sons, Ltd., vol. 22(6), pages 673-686, June.
    2. Rainer Winkelmann, 2014. "An Empirical Model of Health Care Demand under Non-linear Pricing," SOEPpapers on Multidisciplinary Panel Data Research 688, DIW Berlin, The German Socio-Economic Panel (SOEP).
    3. Rainer Winkelmann, 2015. "Counting on count data models," IZA World of Labor, Institute of Labor Economics (IZA), pages 148-148, May.
    4. Ulf‐ G. Gerdtham, 1997. "Equity in Health Care Utilization: Further Tests Based on Hurdle Models and Swedish Micro Data," Health Economics, John Wiley & Sons, Ltd., vol. 6(3), pages 303-319, May.
    5. Johannes S. Kunz & Rainer Winkelmann, 2017. "An Econometric Model of Healthcare Demand With Nonlinear Pricing," Health Economics, John Wiley & Sons, Ltd., vol. 26(6), pages 691-702, June.
    6. Markus Jochmann, 2013. "What belongs where? Variable selection for zero-inflated count models with an application to the demand for health care," Computational Statistics, Springer, vol. 28(5), pages 1947-1964, October.
    7. Rock, Steve & Sedo, Stanley & Willenborg, Michael, 2000. "Analyst following and count-data econometrics," Journal of Accounting and Economics, Elsevier, vol. 30(3), pages 351-373, December.
    8. Gregori Baetschmann & Rainer Winkelmann, 2012. "Modelling zero-inflated count data when exposure varies: with an application to sick leave," ECON - Working Papers 061, Department of Economics - University of Zurich.
    9. Christopher J. W. Zorn, 1998. "An Analytic and Empirical Examination of Zero-Inflated and Hurdle Poisson Specifications," Sociological Methods & Research, , vol. 26(3), pages 368-400, February.
    10. Johannes S. Kunz & Kevin E. Staub & Rainer Winkelmann, 2021. "Predicting individual effects in fixed effects panel probit models," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 184(3), pages 1109-1145, July.
    11. Kunz, J.S.; & Staub, K.E.; & Winkelmann, R.;, 2018. "Predicting fixed effects in panel probit models," Health, Econometrics and Data Group (HEDG) Working Papers 18/23, HEDG, c/o Department of Economics, University of York.
    12. Majo, M.C., 2010. "A microeconometric analysis of health care utilization in Europe," Other publications TiSEM 1cf5fd2f-8146-4ef8-8eb5-e, Tilburg University, School of Economics and Management.
    13. Sisira Sarma & Wayne Simpson, 2006. "A microeconometric analysis of Canadian health care utilization," Health Economics, John Wiley & Sons, Ltd., vol. 15(3), pages 219-239, March.
    14. Costa-Font, Joan & Jimenez-Martin, Sergi & Vilaplana, Cristina, 2018. "Does long-term care subsidization reduce hospital admissions and utilization?," Journal of Health Economics, Elsevier, vol. 58(C), pages 43-66.
    15. Meisner, Craig & Wang, Hua & Laplante, Benoit, 2006. "Welfare measurement bias in household and on-site surveying of water-based recreation : an application to Lake Sevan, Armenia," Policy Research Working Paper Series 3932, The World Bank.
    16. Hoong Chor Chin & Mohammed Abdul Quddus, 2003. "Modeling Count Data with Excess Zeroes," Sociological Methods & Research, , vol. 32(1), pages 90-116, August.
    17. Antonio Clavero Barranquero & Mª. Luz González Alvarez, 2005. "A survey of econometric models to analyze the demand and utilisation of health care," Hacienda Pública Española / Review of Public Economics, IEF, vol. 173(2), pages 129-162, June.
    18. Andr? Romeu-Santana & ?gel M. Vera-Hern?dez, "undated". "A Semi-Nonparametric Estimator For Counts With An Endogenous Dummy. Variable," UFAE and IAE Working Papers 452.00, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    19. Sergi Jiménez‐Martín & José M. Labeaga & Maite Martínez‐Granado, 2002. "Latent class versus two‐part models in the demand for physician services across the European Union," Health Economics, John Wiley & Sons, Ltd., vol. 11(4), pages 301-321, June.
    20. Niklas Elert, 2014. "What determines entry? Evidence from Sweden," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 53(1), pages 55-92, August.

    More about this item

    Keywords

    Excess zeros; Poisson process; exposure; hurdle model;
    All these keywords.

    JEL classification:

    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • I10 - Health, Education, and Welfare - - Health - - - General

    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:zur:econwp:151. 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: Severin Oswald (email available below). General contact details of provider: https://edirc.repec.org/data/seizhch.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.