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A Bivariate Ordered Probit Model with Truncation: Helmet Use and Motorcycle Injuries

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  • Andrew A. Weiss

Abstract

I consider an ordered probit model in which some of the observations in one of the categories are missing. The model can be estimated because of a second variable with a similar truncation scheme. The second variable has the effect of increasing the number of categories quadratically while only increasing the number of parameters linearly. This model arises in the analysis of the effectiveness of helmets in reducing the severity of head and neck injuries in motorcycle accidents. The problem is that accidents in which the rider did not receive a head or neck injury were observed only if the rider received a body injury, and vice versa. The results show that helmets are effective in reducing the severity of the worst head or neck injury but, because the worst overall injury that a rider receives is often a body injury, their effect on the severity of the worst overall injury is smaller.

Suggested Citation

  • Andrew A. Weiss, 1993. "A Bivariate Ordered Probit Model with Truncation: Helmet Use and Motorcycle Injuries," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 42(3), pages 487-499, September.
    • Handle: RePEc:bla:jorssc:v:42:y:1993:i:3:p:487-499
    DOI: 10.2307/2986327
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    Cited by:

    1. David Armstrong & Duncan McVicar, 2000. "Value added in further education and vocational training in Northern Ireland," Applied Economics, Taylor & Francis Journals, vol. 32(13), pages 1727-1736.
    2. Cherkashin, Ivan & Demidova, Svetlana & Imai, Susumu & Krishna, Kala, 2009. "The inside scoop: Acceptance and rejection at the journal of international economics," Journal of International Economics, Elsevier, vol. 77(1), pages 120-132, February.
    3. O'Neill, Terence J. & Barry, Simon C., 1995. "Group truncated ordinal regression," Statistics & Probability Letters, Elsevier, vol. 22(3), pages 195-203, February.
    4. 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.
    5. Elżbieta Macioszek & Paulina Świerk & Agata Kurek, 2020. "The Bike-Sharing System as an Element of Enhancing Sustainable Mobility—A Case Study based on a City in Poland," Sustainability, MDPI, vol. 12(8), pages 1-29, April.
    6. repec:qld:uq2004:508 is not listed on IDEAS
    7. S. C. Barry & T. J. O'Neill, 2000. "The Analysis of Group Truncated Binary Data with Random Effects: Injury Severity in Motor Vehicle Accidents," Biometrics, The International Biometric Society, vol. 56(2), pages 443-450, June.
    8. Waterman, David & Weiss, Andrew A., 1996. "The effects of vertical integration between cable television systems and pay cable networks," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 357-395.

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