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Modelling Tobacco Consumption with a Zero-Inflated Ordered Probit Model

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  • Mark N. Harris

    ()

  • Xueyan Zhao

    ()

Abstract

Data for discrete ordered random variables are often characterised by "excessive" zero observations. Traditional ordered probit models have limited capacity in explaining the preponderance of zero observations, especially when the zeros may relate to two distinct situations of non-participation and infrequent participation (or consumption), for example. We propose a zero-inflated ordered probit (ZIOP) model using a double-hurdle combination of a split (probit) model and an ordered probit model which, potentially, relate to different sets of covariates. Monte Carlo results suggest that the new model performs well. Finally, the model is applied to a consumer choice problem of tobacco consumption.

Suggested Citation

  • Mark N. Harris & Xueyan Zhao, 2004. "Modelling Tobacco Consumption with a Zero-Inflated Ordered Probit Model," Monash Econometrics and Business Statistics Working Papers 14/04, Monash University, Department of Econometrics and Business Statistics.
  • Handle: RePEc:msh:ebswps:2004-14
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    File URL: http://www.buseco.monash.edu.au/ebs/pubs/wpapers/2004/wp14-04.pdf
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    References listed on IDEAS

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    3. Lisa Farrell & Tim R. L. Fry & Mark N. Harris, 2003. "“A Pack A Day For Twenty Years”:Smoking And Cigarette Pack Sizes," Department of Economics - Working Papers Series 887, The University of Melbourne.
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    5. Harris, Mark N & Loundes, Joanne & Webster, Elizabeth, 2002. "Determinants of Household Saving in Australia," The Economic Record, The Economic Society of Australia, vol. 78(241), pages 207-223, June.
    6. Jeffrey E. Harris & Sandra W. Chan, 1999. "The continuum-of-addiction: cigarette smoking in relation to price among Americans aged 15-29," Health Economics, John Wiley & Sons, Ltd., vol. 8(1), pages 81-86.
    7. J. Williams, 2004. "The effects of price and policy on marijuana use: what can be learned from the Australian experience?," Health Economics, John Wiley & Sons, Ltd., vol. 13(2), pages 123-137.
    8. Cameron, Lisa & Williams, Jenny, 2001. "Cannabis, Alcohol and Cigarettes: Substitutes or Complements?," The Economic Record, The Economic Society of Australia, vol. 77(236), pages 19-34, March.
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    Citations

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    Cited by:

    1. Kenneth W. Clements & Xueyan Zhao, 2005. "Economic Aspects of Marijuana," Economics Discussion / Working Papers 05-28, The University of Western Australia, Department of Economics.
    2. Harris, Mark N. & Zhao, Xueyan, 2007. "A zero-inflated ordered probit model, with an application to modelling tobacco consumption," Journal of Econometrics, Elsevier, vol. 141(2), pages 1073-1099, December.
    3. William Greene, 2014. "Models for ordered choices," Chapters,in: Handbook of Choice Modelling, chapter 15, pages 333-362 Edward Elgar Publishing.
    4. Brooks, Robert & Harris, Mark & Spencer, Christopher, 2007. "An Inflated Ordered Probit Model of Monetary Policy: Evidence from MPC Voting Data," MPRA Paper 8509, University Library of Munich, Germany.
    5. William H. Greene & David A. Hensher, 2008. "Modeling Ordered Choices: A Primer and Recent Developments," Working Papers 08-26, New York University, Leonard N. Stern School of Business, Department of Economics.
    6. Abdulbaki Bilgic & Wojciech Florkowski & Cuma Akbay, 2010. "Demand for cigarettes in Turkey: an application of count data models," Empirical Economics, Springer, vol. 39(3), pages 733-765, December.
    7. William Greene, 2007. "Discrete Choice Modeling," Working Papers 07-6, New York University, Leonard N. Stern School of Business, Department of Economics.

    More about this item

    Keywords

    Ordered outcomes; discrete data; drug consumption; zero-inflated responses.;

    JEL classification:

    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • D1 - Microeconomics - - Household Behavior
    • I1 - Health, Education, and Welfare - - Health

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