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Modelling Tobacco Consumption with a Zero-Inflated Ordered Probit Model

Author

Listed:
  • Xueyan Zhao
  • Mark Harris

Abstract

It is quite often in economics that we wish to model a discrete ordered random variable, such as bond ratings, employment status, consumption levels and so on. However, traditional approaches to modelling such a discrete ordered random variable ignore both the potential build-up of zero obsersavtions typically observed and, relatedly, that these zeros might come from two distinct situations: non-participants and infrequent consumers. Analogously to the zero inflated (augmented) poisson (and negative binomial) count models, we propose a zero inflated Ordered Probit model. Monte Carlo results suggest that the new model performs well when the data is generated according to such a process and that a Likelihood Ratio-type statistic has good properties in selecting the correct model. Finally, the model is applied to a consumer choice problem of tobacco consumption

Suggested Citation

  • Xueyan Zhao & Mark Harris, 2004. "Modelling Tobacco Consumption with a Zero-Inflated Ordered Probit Model," Econometric Society 2004 Australasian Meetings 363, Econometric Society.
    • Handle: RePEc:ecm:ausm04:363
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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: Stephane Hess & Andrew Daly (ed.), 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.

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    JEL classification:

    • A - General Economics and Teaching

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