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Binary Response Models: Logits, Probits and Semiparametrics

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  • Joel L. Horowitz
  • N. E. Savin
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    Abstract

    A binary-response model is a mean-regression model in which the dependent variable takes only the values zero and one. This paper describes and illustrates the estimation of logit and probit binary-response models. The linear probability model is also discussed. Reasons for not using this model in applied research are explained and illustrated with data. Semiparametric and nonparametric models are also described. In contrast to logit and probit models, semi- and nonparametric models avoid the restrictive and unrealistic assumption that the analyst knows the functional form of the relation between the dependent variable and the explanatory variables.

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    File URL: http://www.aeaweb.org/articles.php?doi=10.1257/jep.15.4.43
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    Bibliographic Info

    Article provided by American Economic Association in its journal Journal of Economic Perspectives.

    Volume (Year): 15 (2001)
    Issue (Month): 4 (Fall)
    Pages: 43-56

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    Handle: RePEc:aea:jecper:v:15:y:2001:i:4:p:43-56

    Note: DOI: 10.1257/jep.15.4.43
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    1. Pakes, Ariel & Pollard, David, 1989. "Simulation and the Asymptotics of Optimization Estimators," Econometrica, Econometric Society, vol. 57(5), pages 1027-57, September.
    2. Hardle, W., 1992. "Applied Nonparametric Methods," Discussion Paper 1992-6, Tilburg University, Center for Economic Research.
    3. Horowitz, Joel L, 1992. "A Smoothed Maximum Score Estimator for the Binary Response Model," Econometrica, Econometric Society, vol. 60(3), pages 505-31, May.
    4. Amemiya, Takeshi, 1981. "Qualitative Response Models: A Survey," Journal of Economic Literature, American Economic Association, vol. 19(4), pages 1483-1536, December.
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    6. John Geweke & Michael Keane & David Runkle, 1994. "Alternative computational approaches to inference in the multinomial probit model," Staff Report 170, Federal Reserve Bank of Minneapolis.
    7. Geweke, John F. & Keane, Michael P. & Runkle, David E., 1997. "Statistical inference in the multinomial multiperiod probit model," Journal of Econometrics, Elsevier, vol. 80(1), pages 125-165, September.
    8. Oliver LINTON, . "Applied nonparametric methods," Statistic und Oekonometrie 9312, Humboldt Universitaet Berlin.
    9. Manski, Charles F., 1985. "Semiparametric analysis of discrete response : Asymptotic properties of the maximum score estimator," Journal of Econometrics, Elsevier, vol. 27(3), pages 313-333, March.
    10. Rosa L. Matzkin, 1988. "Nonparametric and Distribution-Free Estimation of the Binary Choice and the Threshold-Crossing Models," Cowles Foundation Discussion Papers 889, Cowles Foundation for Research in Economics, Yale University.
    11. Daniel McFadden, 1977. "Quantitative Methods for Analyzing Travel Behaviour of Individuals: Some Recent Developments," Cowles Foundation Discussion Papers 474, Cowles Foundation for Research in Economics, Yale University.
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    Cited by:
    1. Topitzes, James & Mersky, Joshua P. & Dezen, Kristin A. & Reynolds, Arthur J., 2013. "Adult resilience among maltreated children: A prospective investigation of main effect and mediating models," Children and Youth Services Review, Elsevier, vol. 35(6), pages 937-949.
    2. Paul Koster & Hans Koster, 2013. "Analysing Heterogeneity in the Value of Travel Time and Reliability: A Semiparametric Estimation Approach," ERSA conference papers ersa13p1032, European Regional Science Association.
    3. Horowitz, Joel L. & Lee, Sokbae, 2005. "Nonparametric Estimation of an Additive Quantile Regression Model," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 1238-1249, December.
    4. Colubi, Ana & González-Rodri­guez, Gil & Domi­nguez-Cuesta, Mari­a José & Jiménez-Sánchez, Montserrat, 2008. "Favorability functions based on kernel density estimation for logistic models: A case study," Computational Statistics & Data Analysis, Elsevier, vol. 52(9), pages 4533-4543, May.
    5. Doran, Justin & Jordan, Declan & O'Leary, Eoin, 2012. "The effects of national and international interaction on innovation: evidence from the Irish CIS: 2004-6," MPRA Paper 48268, University Library of Munich, Germany.
    6. Paul Koster & Hans Koster, 2013. "Commuters' Preferences for Fast and Reliable Travel," Tinbergen Institute Discussion Papers 13-075/VIII, Tinbergen Institute, revised 24 Jun 2013.
    7. Geweke, J. & Joel Horowitz & Pesaran, M.H., 2006. "Econometrics: A Bird’s Eye View," Cambridge Working Papers in Economics 0655, Faculty of Economics, University of Cambridge.
    8. Petri Böckerman, 2004. "Perception of Job Instability in Europe," Social Indicators Research, Springer, vol. 67(3), pages 283-314, July.
    9. Geenens, Gery & Simar, Léopold, 2010. "Nonparametric tests for conditional independence in two-way contingency tables," Journal of Multivariate Analysis, Elsevier, vol. 101(4), pages 765-788, April.
    10. Horowitz, Joel L., 2004. "Comments on "Size Matters"," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 33(5), pages 551-554, November.
    11. Coussement, Kristof & Benoit, Dries Frederik & Van den Poel, Dirk, 2009. "Improved Marketing Decision Making in a Customer Churn Prediction Context Using Generalized Additive Models," Working Papers 2009/18, Hogeschool-Universiteit Brussel, Faculteit Economie en Management.
    12. Pere Riera & Raúl Brey & Guillermo Gándara, 2008. "Bid design for non-parametric contingent valuation with a single bounded dichotomous choice format," Hacienda Pública Española, IEF, vol. 186(3), pages 43-60, October.
    13. Agnello, Luca & Schuknecht, Ludger, 2011. "Booms and busts in housing markets: Determinants and implications," Journal of Housing Economics, Elsevier, vol. 20(3), pages 171-190, September.
    14. Peter Davis & Pasquale Schiraldi, 2013. "The flexible coefficient multinomial logit (FC-MNL) model of demand for differentiated products," LSE Research Online Documents on Economics 54252, London School of Economics and Political Science, LSE Library.
    15. Gregory Connor & Thomas Flavin, 2013. "Irish Mortgage Default Optionality," Economics, Finance and Accounting Department Working Paper Series n243-13.pdf, Department of Economics, Finance and Accounting, National University of Ireland - Maynooth.
    16. repec:dgr:uvatin:2013075 is not listed on IDEAS

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