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Marginal Effects in Multivariate Probit and Kindred Discrete and Count Outcome Models


  • Mullahy, John

    (Dept. of Population Health Science, University of Wisconsin-Madison)


Estimation of marginal or partial effects of covariates x on various conditional parameters or functionals is often the main target of applied microeconometric analysis. In the specific context of probit models, estimation of partial effects involving outcome probabilities will often be of interest. Such estimation is straightforward in univariate models, and Greene, 1996, 1998, has extended these results to cover the case of quadrant probability marginal effects in bivariate probit models. The first purpose of this paper is to extend these results to encompass the general !"!# multivariate probit (MVP) context for arbitrary orthant probabilities. It is suggested that such partial effects are broadly useful in situations wherein multivariate outcomes are of concern. The paper derives the general result on orthant probability partial effects, which contains Greene's bivariate result as a special case. These results are then extended to models that condition on subvectors of y, to count data structures that derive from the probability structure of y, to multivariate ordered probit data structures, and to the multinomial probit model whose marginal effects turn out to be a special case of those of the multivariate probit model. Numerical simulations suggest that use of the analytical formulae versus fully numerical

Suggested Citation

  • Mullahy, John, 2011. "Marginal Effects in Multivariate Probit and Kindred Discrete and Count Outcome Models," Working Papers 201135, Geary Institute, University College Dublin.
  • Handle: RePEc:ucd:wpaper:201135

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    References listed on IDEAS

    1. Fichera, Eleonora & Sutton, Matt, 2011. "State and self investments in health," Journal of Health Economics, Elsevier, vol. 30(6), pages 1164-1173.
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    Cited by:

    1. Us, Anna & Florkowski, Wojciech J. & Klepacka, Anna M., 5. "From Water To Biofuels: Knowledge And Attitudes Towards Renewable Energy Sources Among Rural Residents In Eastern Poland," Roczniki (Annals), Polish Association of Agricultural Economists and Agribusiness - Stowarzyszenie Ekonomistow Rolnictwa e Agrobiznesu (SERiA), issue 5.
    2. Angioloni, Simone & Kudabaev, Zarylbek & Ames, Glenn & Wetzstein, Michael, 2015. "Household Allocation of Microfinance Loans in Kyrgyzstan," 2015 Conference, August 9-14, 2015, Milan, Italy 210949, International Association of Agricultural Economists.
    3. Fu, Shengfei & Shonkwiler, John Scott, 2015. "A New Estimator for Multivariate Binary Data," 2015 AAEA & WAEA Joint Annual Meeting, July 26-28, San Francisco, California 204963, Agricultural and Applied Economics Association;Western Agricultural Economics Association.

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    multivariate probit; multinomial probit; marginal effects; orthant probability partial effects; count data;

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