IDEAS home Printed from https://ideas.repec.org/p/msh/ebswps/2015-6.html
   My bibliography  Save this paper

Nonparametric Kernel Estimation of the Impact of Tax Policy on the Demand for Private Health Insurance in Australia

Author

Listed:
  • Xiaodong Gong
  • Jiti Gao

Abstract

This paper is motivated by our attempt to answer an empirical question: how is private health insurance take-up in Australia affected by the income threshold at which the Medicare Levy Surcharge (MLS) kicks in? We propose a new difference de-convolution kernel estimator for the location and size of regression discontinuities. We also propose a bootstrapping procedure for estimating confidence bands for the estimated discontinuity. Performance of the estimator is evaluated by Monte Carlo simulations before it is applied to estimating the effect of the income threshold of Medicare Levy Surcharge on the take-up of private health insurance in Australia using contaminated data.

Suggested Citation

  • Xiaodong Gong & Jiti Gao, 2015. "Nonparametric Kernel Estimation of the Impact of Tax Policy on the Demand for Private Health Insurance in Australia," Monash Econometrics and Business Statistics Working Papers 6/15, Monash University, Department of Econometrics and Business Statistics.
  • Handle: RePEc:msh:ebswps:2015-6
    as

    Download full text from publisher

    File URL: http://business.monash.edu/econometrics-and-business-statistics/research/publications/ebs/wp06-15.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kang, Kee-Hoon & Koo, Ja-Yong & Park, Cheol-Woo, 2000. "Kernel estimation of discontinuous regression functions," Statistics & Probability Letters, Elsevier, vol. 47(3), pages 277-285, April.
    2. Delaigle, A. & Gijbels, I., 2004. "Practical bandwidth selection in deconvolution kernel density estimation," Computational Statistics & Data Analysis, Elsevier, vol. 45(2), pages 249-267, March.
    3. H.E. Frech Iii & Sandra Hopkins & Garry Macdonald, 2003. "The Australian Private Health Insurance Boom: Was It Subsidies Or Liberalised Regulation?," Economic Papers, The Economic Society of Australia, vol. 22(1), pages 58-64, March.
    4. Jonathan Gruber & James M. Poterba, 1993. "Tax Incentives and the Decision to Purchase Health Insurance: Evidence from the Self-Employed," NBER Working Papers 4435, National Bureau of Economic Research, Inc.
    5. Alfons Palangkaraya & Jongsay Yong & Elizabeth Webster & Peter Dawkins, 2009. "The income distributive implications of recent private health insurance policy reforms in Australia," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 10(2), pages 135-148, May.
    6. Delaigle, Aurore & Meister, Alexander, 2007. "Nonparametric Regression Estimation in the Heteroscedastic Errors-in-Variables Problem," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 1416-1426, December.
    7. A. Delaigle & I. Gijbels, 2004. "Bootstrap bandwidth selection in kernel density estimation from a contaminated sample," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 56(1), pages 19-47, March.
    8. Stavrunova, Olena & Yerokhin, Oleg, 2014. "Tax incentives and the demand for private health insurance," Journal of Health Economics, Elsevier, vol. 34(C), pages 121-130.
    9. Hahn, Jinyong & Todd, Petra & Van der Klaauw, Wilbert, 2001. "Identification and Estimation of Treatment Effects with a Regression-Discontinuity Design," Econometrica, Econometric Society, vol. 69(1), pages 201-209, January.
    10. Alfons Palangkaraya & Jongsay Yong, 2005. "Effects of Recent Carrot‐and‐Stick Policy Initiatives on Private Health Insurance Coverage in Australia," The Economic Record, The Economic Society of Australia, vol. 81(254), pages 262-272, September.
    11. Jonathan Gruber & James Poterba, 1994. "Tax Incentives and the Decision to Purchase Health Insurance: Evidence from the Self-Employed," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 701-733.
    12. David S. Lee & Thomas Lemieux, 2010. "Regression Discontinuity Designs in Economics," Journal of Economic Literature, American Economic Association, vol. 48(2), pages 281-355, June.
    13. Randall Ellis & Elizabeth Savage, 2008. "Run for cover now or later? The impact of premiums, threats and deadlines on private health insurance in Australia," International Journal of Health Economics and Management, Springer, vol. 8(4), pages 257-277, December.
    14. Delaigle, A. & Gijbels, I., 2006. "Data-driven boundary estimation in deconvolution problems," Computational Statistics & Data Analysis, Elsevier, vol. 50(8), pages 1965-1994, April.
    15. Irene Gijbels & Peter Hall & Aloïs Kneip, 1999. "On the Estimation of Jump Points in Smooth Curves," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 51(2), pages 231-251, June.
    16. Thomas C. Buchmueller & John DiNardo & Robert G. Valletta, 2011. "The Effect of an Employer Health Insurance Mandate on Health Insurance Coverage and the Demand for Labor: Evidence from Hawaii," American Economic Journal: Economic Policy, American Economic Association, vol. 3(4), pages 25-51, November.
    17. Finkelstein, Amy, 2002. "The effect of tax subsidies to employer-provided supplementary health insurance: evidence from Canada," Journal of Public Economics, Elsevier, vol. 84(3), pages 305-339, June.
    18. Randall P. Ellis & Elizabeth Savage, 2008. "Run for Cover Now or Later? The impact of premiums, threats and deadlines on supplementary private health insurance in Australia," Boston University - Department of Economics - Working Papers Series wp2008-013, Boston University - Department of Economics.
    19. Delaigle, Aurore & Hall, Peter, 2006. "On optimal kernel choice for deconvolution," Statistics & Probability Letters, Elsevier, vol. 76(15), pages 1594-1602, September.
    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. Kettlewell, Nathan & Zhang, Yuting, 2023. "Financial Incentives and Private Health Insurance Demand on the Extensive and Intensive Margins," IZA Discussion Papers 16248, Institute of Labor Economics (IZA).
    2. Kettlewell, Nathan & Zhang, Yuting, 2024. "Financial incentives and private health insurance demand on the extensive and intensive margins," Journal of Health Economics, Elsevier, vol. 94(C).
    3. Judith Liu & Yuting Zhang, 2023. "Elderly responses to private health insurance incentives: Evidence from Australia," Health Economics, John Wiley & Sons, Ltd., vol. 32(12), pages 2730-2744, December.
    4. Stavrunova, Olena & Yerokhin, Oleg, 2014. "Tax incentives and the demand for private health insurance," Journal of Health Economics, Elsevier, vol. 34(C), pages 121-130.
    5. Cheng, Terence Chai, 2014. "Measuring the effects of reducing subsidies for private insurance on public expenditure for health care," Journal of Health Economics, Elsevier, vol. 33(C), pages 159-179.
    6. Yicheng Kang & Xiaodong Gong & Jiti Gao & Peihua Qiu, 2016. "Error-in-Variables Jump Regression Using Local Clustering," Monash Econometrics and Business Statistics Working Papers 13/16, Monash University, Department of Econometrics and Business Statistics.
    7. Buchmueller, Thomas C. & Cheng, Terence C. & Pham, Ngoc T.A. & Staub, Kevin E., 2021. "The effect of income-based mandates on the demand for private hospital insurance and its dynamics," Journal of Health Economics, Elsevier, vol. 75(C).
    8. Nathan Kettlewell & Yuting Zhang, 2024. "Age penalties and take‐up of private health insurance," Health Economics, John Wiley & Sons, Ltd., vol. 33(4), pages 636-651, April.
    9. Denise Doiron & Nathan Kettlewell, 2020. "Family formation and the demand for health insurance," Health Economics, John Wiley & Sons, Ltd., vol. 29(4), pages 523-533, April.
    10. Ha Trong Nguyen & Huong Thu Le & Luke Connelly & Francis Mitrou, 2023. "Accuracy of self‐reported private health insurance coverage," Health Economics, John Wiley & Sons, Ltd., vol. 32(12), pages 2709-2729, December.
    11. López Nicolás, Ángel & Vera-Hernández, Marcos, 2008. "Are tax subsidies for private medical insurance self-financing? Evidence from a microsimulation model," Journal of Health Economics, Elsevier, vol. 27(5), pages 1285-1298, September.
    12. Keegan, Conor, 2020. "The introduction of lifetime community rating in the Irish private health insurance market: Effects on coverage and plan choice," Social Science & Medicine, Elsevier, vol. 255(C).
    13. Michael Smart & Mark Stabile, 2005. "Tax credits, insurance, and the use of medical care," Canadian Journal of Economics, Canadian Economics Association, vol. 38(2), pages 345-365, May.
    14. H. E. Frech & Peter Zweifel, 2017. "Market Socialism and Community Rating in Health Insurance," Comparative Economic Studies, Palgrave Macmillan;Association for Comparative Economic Studies, vol. 59(3), pages 405-427, September.
    15. Randall Ellis & Elizabeth Savage, 2008. "Run for cover now or later? The impact of premiums, threats and deadlines on private health insurance in Australia," International Journal of Health Economics and Management, Springer, vol. 8(4), pages 257-277, December.
    16. Tracy L. Regan & Gulcin Gumus, 2006. "Tax Incentives as a Solution to the Uninsured: Evidence from the Self-Employed," Working Papers 0709, University of Miami, Department of Economics, revised Oct 2007.
    17. Porter, Jack & Yu, Ping, 2015. "Regression discontinuity designs with unknown discontinuity points: Testing and estimation," Journal of Econometrics, Elsevier, vol. 189(1), pages 132-147.
    18. Hao Dong & Taisuke Otsu & Luke Taylor, 2023. "Bandwidth selection for nonparametric regression with errors-in-variables," Econometric Reviews, Taylor & Francis Journals, vol. 42(4), pages 393-419, April.
    19. David Powell, 2019. "The Distortionary Effects of the Health Insurance Tax Exclusion," American Journal of Health Economics, University of Chicago Press, vol. 5(4), pages 428-464, Fall.
    20. Nathan Kettlewell, 2019. "Utilization and Selection in an Ancillaries Health Insurance Market," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 86(4), pages 989-1017, December.

    More about this item

    Keywords

    De-convolution kernel estimator; regression discontinuity; error-in-variables; demand for private health insurance.;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C29 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Other
    • I13 - Health, Education, and Welfare - - Health - - - Health Insurance, Public and Private

    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:msh:ebswps:2015-6. 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: Professor Xibin Zhang (email available below). General contact details of provider: https://edirc.repec.org/data/dxmonau.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.