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Modelling Tobacco Consumption with a Zero-Inflated Ordered Probit Model

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Author Info
Xueyan Zhao
Mark Harris

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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

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Paper provided by Econometric Society in its series Econometric Society 2004 Australasian Meetings with number 363.

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Date of creation: 11 Aug 2004
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Handle: RePEc:ecm:ausm04:363

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Related research
Keywords: Ordered outcomes; discrete data; drug consumption; zero-inflated responses.;

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A - General Economics and Teaching

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Young, Trevor, 1983. "The Demand for Cigarettes: Alternative Specifications of Fujii's Model," Applied Economics, Taylor and Francis Journals, vol. 15(2), pages 203-11, April.
  2. 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. [Downloadable!] (restricted)
  3. Heckman, James J, 1979. "Sample Selection Bias as a Specification Error," Econometrica, Econometric Society, vol. 47(1), pages 153-61, January. [Downloadable!] (restricted)
  4. 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 207-23, June. [Downloadable!] (restricted)
  5. 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. [Downloadable!]
  6. Philip DeCicca & Donald Kenkel & Alan Mathios, 2002. "Putting Out the Fires: Will Higher Taxes Reduce the Onset of Youth Smoking?," Journal of Political Economy, University of Chicago Press, vol. 110(1), pages 144-169, February. [Downloadable!] (restricted)
  7. Stigler, George J & Becker, Gary S, 1977. "De Gustibus Non Est Disputandum," American Economic Review, American Economic Association, vol. 67(2), pages 76-90, March.
  8. Hausman, Jerry A, 1978. "Specification Tests in Econometrics," Econometrica, Econometric Society, vol. 46(6), pages 1251-71, November. [Downloadable!] (restricted)
  9. William H. Greene, 1994. "Accounting for Excess Zeros and Sample Selection in Poisson and Negative Binomial Regression Models," Working Papers 94-10, New York University, Leonard N. Stern School of Business, Department of Economics.
  10. Mullahy, John, 1986. "Specification and testing of some modified count data models," Journal of Econometrics, Elsevier, vol. 33(3), pages 341-365, December. [Downloadable!] (restricted)
  11. Frank J. Chaloupka, 1991. "Rational Addictive Behavior and Cigarette Smoking," NBER Working Papers 3268, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  12. 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. [Downloadable!]
  13. 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.
  14. Becker, Gary S & Murphy, Kevin M, 1988. "A Theory of Rational Addiction," Journal of Political Economy, University of Chicago Press, vol. 96(4), pages 675-700, August. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  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. [Downloadable!]
  2. 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. [Downloadable!]
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