IDEAS home Printed from https://ideas.repec.org/p/ucd/wpaper/201135.html
   My bibliography  Save this paper

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

Author

Listed:
  • Mullahy, John

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

Abstract

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
    as

    Download full text from publisher

    File URL: http://www.ucd.ie/geary/static/publications/workingpapers/gearywp201135.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Fichera, Eleonora & Sutton, Matt, 2011. "State and self investments in health," Journal of Health Economics, Elsevier, vol. 30(6), pages 1164-1173.
    2. Christofides, L. N. & Hardin, J. W. & Stengos, T., 2000. "Corrigendum to "On the calculation of marginal effects in the bivariate probit model" [Econ. Lett. 54, (1997) 203-208]," Economics Letters, Elsevier, vol. 68(3), pages 339-339, September.
    3. Hajivassiliou, Vassilis & McFadden, Daniel & Ruud, Paul, 1996. "Simulation of multivariate normal rectangle probabilities and their derivatives theoretical and computational results," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 85-134.
    4. Greene,William H. & Hensher,David A., 2010. "Modeling Ordered Choices," Cambridge Books, Cambridge University Press, number 9780521142373, September.
    5. Greene,William H. & Hensher,David A., 2010. "Modeling Ordered Choices," Cambridge Books, Cambridge University Press, number 9780521194204, September.
    6. Christofides, Louis N. & Stengos, Thanasis & Swidinsky, Robert, 1997. "On the calculation of marginal effects in the bivariate probit model," Economics Letters, Elsevier, vol. 54(3), pages 203-208, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Johanna K. Loy & Nicki-Nils Seitz & Elin K. Bye & Paul Dietze & Carolin Kilian & Jakob Manthey & Kirsimarja Raitasalo & Renate Soellner & Björn Trolldal & Jukka Törrönen & Ludwig Kraus, 2021. "Changes in Alcoholic Beverage Choice and Risky Drinking among Adolescents in Europe 1999–2019," IJERPH, MDPI, vol. 18(20), pages 1-25, October.
    2. Almada, Lorenzo & McCarthy, Ian M., 2017. "It's a cruel summer: Household responses to reductions in government nutrition assistance," Journal of Economic Behavior & Organization, Elsevier, vol. 143(C), pages 45-57.
    3. Fu, Shengfei & Florkowski, Wojciech J., 2016. "Changing Dairy Consumption in an Emerging Economy: An Application of a Multivariate Two-part Model," 2016 Annual Meeting, July 31-August 2, Boston, Massachusetts 235625, Agricultural and Applied Economics Association.
    4. Kim, Changjoo & Parent, Olivier, 2016. "Modeling individual travel behaviors based on intra-household interactions," Regional Science and Urban Economics, Elsevier, vol. 57(C), pages 1-11.
    5. 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.
    6. Hayo Bernd & Caris Tobias, 2013. "Female Labour Force Participation in the MENA Region: The Role of Identity," Review of Middle East Economics and Finance, De Gruyter, vol. 9(3), pages 271-292, December.
    7. 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.
    8. Ian M. McCarthy, 2015. "Putting the Patient in Patient Reported Outcomes: A Robust Methodology for Health Outcomes Assessment," Health Economics, John Wiley & Sons, Ltd., vol. 24(12), pages 1588-1603, December.
    9. Us, Anna & Florkowski, Wojciech J. & Klepacka, Anna M., 2015. "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), vol. 2015(5), October.
    10. Florkowski, Wojciech & Juszczuk, Grzegorz & Golawska, Olga, 2015. "Attitudes and Perceptions of Common European Currency Among Residents of Northern Lubelskie Province," Roczniki (Annals), Polish Association of Agricultural Economists and Agribusiness - Stowarzyszenie Ekonomistow Rolnictwa e Agrobiznesu (SERiA), vol. 2015(6), December.
    11. Dang,Hai-Anh H. & Lanjouw,Peter F., 2013. "Measuring poverty dynamics with synthetic panels based on cross-sections," Policy Research Working Paper Series 6504, The World Bank.
    12. Giovanni Bruno & Orietta Dessy, 2014. "Average partial effects in multivariate probit models with latent heterogeneity: Monte Carlo experiments and an application to immigrants' ethnic identity and economic performance," Italian Stata Users' Group Meetings 2014 10, Stata Users Group.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. John Mullahy, 2011. "Marginal Effects in Multivariate Probit and Kindred Discrete and Count Outcome Models, with Applications in Health Economics," NBER Working Papers 17588, National Bureau of Economic Research, Inc.
    2. John Mullahy, 2017. "Marginal effects in multivariate probit models," Empirical Economics, Springer, vol. 52(2), pages 447-461, March.
    3. Francisco Rosas & Santiago Acerenza & Peter F. Orazem, 2020. "Optimal pricing strategies for a cluster of goods: own- and cross-price effects with correlated tastes," Applied Economics, Taylor & Francis Journals, vol. 52(7), pages 742-755, February.
    4. Giovanni Bruno & Orietta Dessy, 2014. "Average partial effects in multivariate probit models with latent heterogeneity: Monte Carlo experiments and an application to immigrants' ethnic identity and economic performance," Italian Stata Users' Group Meetings 2014 10, Stata Users Group.
    5. Pinka Chatterji & Heesoo Joo & Kajal Lahiri, 2010. "Beware of Unawareness: Racial/Ethnic Disparities in Awareness of Chronic Diseases," NBER Working Papers 16578, National Bureau of Economic Research, Inc.
    6. Dixon, Huw D. & Grimme, Christian, 2022. "State-dependent or time-dependent pricing? New evidence from a monthly firm-level survey: 1980–2017," European Economic Review, Elsevier, vol. 150(C).
    7. An, Wookhyun & Alarcón, Silverio, 2021. "Rural tourism preferences in Spain: Best-worst choices," Annals of Tourism Research, Elsevier, vol. 89(C).
    8. Stefan Boes, 2013. "Nonparametric analysis of treatment effects in ordered response models," Empirical Economics, Springer, vol. 44(1), pages 81-109, February.
    9. William H. Greene & Mark N. Harris & Rachel J. Knott & Nigel Rice, 2021. "Specification and testing of hierarchical ordered response models with anchoring vignettes," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 184(1), pages 31-64, January.
    10. Hanna Dudek & Joanna Landmesser, 2012. "Income satisfaction and relative deprivation," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 13(2), pages 321-334, June.
    11. Das, Ujjwal & Das, Kalyan, 2018. "Inference on zero inflated ordinal models with semiparametric link," Computational Statistics & Data Analysis, Elsevier, vol. 128(C), pages 104-115.
    12. Andrew Powell & Pilar Tavella, 2012. "Capital Inflow Surges in Emerging Economies: How Worried Should LAC Be?," Research Department Publications 4782, Inter-American Development Bank, Research Department.
    13. Kaili Wang & Sanjana Hossain & Khandker Nurul Habib, 2022. "A hybrid data fusion methodology for household travel surveys to reduce proxy biases and under-representation of specific sub-group of population," Transportation, Springer, vol. 49(6), pages 1801-1836, December.
    14. Ghimire, Ramesh & Green, Gary T. & Paudel, Krishna P. & Poudyal, Neelam C. & Cordell, H. Ken, 2017. "Visitors' Preferences for Freshwater Amenity Characteristics: Implications from the U.S. Household Survey," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 42(01), pages 1-24, January.
    15. Chappell, Henry W. & McGregor, Rob Roy, 2018. "Committee decision-making at Sweden's Riksbank," European Journal of Political Economy, Elsevier, vol. 53(C), pages 120-133.
    16. Päivi Karhunen & Svetlana Ledyaeva, 2021. "Is Chain Affiliation a Strategic Asset or Constraint in Emerging Economies? Competitive Strategies and Performance in the Russian Hotel Industry," Management International Review, Springer, vol. 61(3), pages 403-427, June.
    17. Charlie Tchinda & Marcus Dejardin, 2021. "Are Business Policy Measures in Response to the COVID-19 Pandemic to Be Equally Valued? An Exploration According to SMEs Owners’ Business Expectations," Sustainability, MDPI, vol. 13(21), pages 1-42, October.
    18. Ali Ardeshiri & Spring Sampson & Joffre Swait, 2019. "Seasonality Effects on Consumers Preferences Over Quality Attributes of Different Beef Products," Papers 1902.02419, arXiv.org.
    19. Patricia Cubí‐Mollá & Mireia Jofre‐Bonet & Victoria Serra‐Sastre, 2017. "Adaptation to health states: Sick yet better off?," Health Economics, John Wiley & Sons, Ltd., vol. 26(12), pages 1826-1843, December.
    20. Priscilla Twumasi Baffour & Festus Ebo Turkson, 2015. "Selection into Employment Sectors in Urban Ghana and Tanzania: The Role of Education," Research in World Economy, Research in World Economy, Sciedu Press, vol. 6(4), pages 78-92, December.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ucd:wpaper:201135. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Geary Tech (email available below). General contact details of provider: https://edirc.repec.org/data/geucdie.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.