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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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    References listed on IDEAS

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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. 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.
    4. William Greene, 2007. "Discrete Choice Modeling," Working Papers 07-6, New York University, Leonard N. Stern School of Business, Department of Economics.
    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. William Greene, 2014. "Models for ordered choices," Chapters, in: Stephane Hess & Andrew Daly (ed.), Handbook of Choice Modelling, chapter 15, pages 333-362, Edward Elgar Publishing.
    7. 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.

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    More about this item

    Keywords

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

    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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