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Marginal effects in the probit model with a triple dummy variable interaction term

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  • Cornelissen, Thomas
  • Sonderhof, Katja

Abstract

In non-linear regression models, such as the probit model, coefficients cannot be interpreted as marginal effects. The marginal effects are usually non-linear combinations of all regressors and regression coefficients of the model. This paper derives the marginal effects in a probit model with a triple dummy variable interaction term. A frequent application of this model is the regression-based difference-in-difference-in-differences estimator with a binary outcome variable. The formulae derived here are implemented in a Stata program called inteff3 which applies the delta method in order to compute also the standard errors of the marginal effects.

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File URL: http://diskussionspapiere.wiwi.uni-hannover.de/pdf_bib/dp-386.pdf
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Bibliographic Info

Paper provided by Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät in its series Hannover Economic Papers (HEP) with number dp-386.

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Length: 14 pages
Date of creation: Jan 2008
Date of revision:
Handle: RePEc:han:dpaper:dp-386

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Keywords: difference-in-difference-in-differences; probit model; interaction terms; marginal effects; Stata;

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  1. Ai, Chunrong & Norton, Edward C., 2003. "Interaction terms in logit and probit models," Economics Letters, Elsevier, vol. 80(1), pages 123-129, July.
  2. Edward C. Norton & Hua Wang & Chunrong Ai, 2004. "Computing interaction effects and standard errors in logit and probit models," Stata Journal, StataCorp LP, vol. 4(2), pages 154-167, June.
  3. Gruber, Jonathan, 1994. "The Incidence of Mandated Maternity Benefits," American Economic Review, American Economic Association, vol. 84(3), pages 622-41, June.
  4. Gruber, Jonathan & Poterba, James, 1994. "Tax Incentives and the Decision to Purchase Health Insurance: Evidence from the Self-Employed," The Quarterly Journal of Economics, MIT Press, vol. 109(3), pages 701-33, August.
  5. Thomas Cornelissen & Katja Sonderhof, 2008. "INTEFF3: Stata module to compute partial effects in a probit or logit model with a triple dummy variable interaction term," Statistical Software Components S456903, Boston College Department of Economics, revised 09 Jul 2009.
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