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Fitting and interpreting Cragg's tobit alternative using Stata

Author

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  • William J. Burke

    (Department of Agricultural, Food, and Resource Economics, Michigan State University)

Abstract

In this article, I introduce the user-written command craggit, which simultaneously fits both tiers of Cragg’s (1971, Econometrica 39: 829–844) "two- tier" (sometimes called "two-stage" or "double-hurdle") alternative to tobit for corner-solution models. A key limitation to the tobit model is that the probability of a positive value and the actual value, given that it is positive, are determined by the same underlying process (i.e., the same parameters). Cragg proposed a more flexible alternative that allows these outcomes to be determined by separate processes through the incorporation of a probit model in the first tier and a truncated normal model in the second. Also, tobit is nested in craggit, making the latter a popular choice among "two-tier" models. In the article, I also present postestimation syntax to facilitate the understanding and interpretation of results.

Suggested Citation

  • William J. Burke, 2009. "Fitting and interpreting Cragg's tobit alternative using Stata," Stata Journal, StataCorp LLC, vol. 9(4), pages 584-592, December.
    • Handle: RePEc:tsj:stataj:v:9:y:2009:i:4:p:584-592
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    References listed on IDEAS

    as
    1. Cragg, John G, 1971. "Some Statistical Models for Limited Dependent Variables with Application to the Demand for Durable Goods," Econometrica, Econometric Society, vol. 39(5), pages 829-844, September.
    2. Christopher F Baum, 2006. "An Introduction to Modern Econometrics using Stata," Stata Press books, StataCorp LLC, number imeus, January.
    3. Peter Kennedy, 2003. "A Guide to Econometrics, 5th Edition," MIT Press Books, The MIT Press, edition 5, volume 1, number 026261183x, December.
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