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Ordered Response Models

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Author Info
Stefan Boes () (Socioeconomic Institute, University of Zurich)
Rainer Winkelmann () (Socioeconomic Institute, University of Zurich)

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Abstract

We discuss regression models for ordered responses, such as ratings of bonds, schooling attainment, or measures of subjective well-being. Commonly used models in this context are the ordered logit and ordered probit regression models. They are based on an underlying latent model with single index function and constant thresholds. We argue that these approaches are overly restrictive and preclude a flexible estimation of the effect of regressors on the discrete outcome probabilities. For example, the signs of the marginal probability effects can only change once when moving from the smallest category to the largest one. We then discuss several alternative models that overcome these limitations. An application illustrates the benefit of these alternatives.

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File URL: http://www.soi.uzh.ch/research/wp/2005/wp0507.pdf
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File Function: First version, 2005
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Publisher Info
Paper provided by University of Zurich, Socioeconomic Institute in its series Working Papers with number 0507.

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Length: 21 pages
Date of creation: Mar 2005
Date of revision:
Publication status: Published in Allgemeines Statistisches Archiv 90, 2006, pages 165-179
Handle: RePEc:soz:wpaper:0507

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Related research
Keywords: Marginal effects generalized threshold sequential model random coeffcients latent class analysis happiness

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Find related papers by JEL classification:
C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models
I29 - Health, Education, and Welfare - - Education - - - Other

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Yves Schneider & Peter Zweifel, 2004. "How Much Internalization of Nuclear Risk Through Liability Insurance?," Journal of Risk and Uncertainty, Springer, vol. 29(3), pages 219-240, December. [Downloadable!]
    Other versions:
  2. Ulf Olsson, 1979. "Maximum likelihood estimation of the polychoric correlation coefficient," Psychometrika, Springer, vol. 44(4), pages 443-460, December. [Downloadable!] (restricted)
  3. Boes, Stefan & Winkelmann, Rainer, 2004. "Income and Happiness: New Results from Generalized Threshold and Sequential Models," IZA Discussion Papers 1175, Institute for the Study of Labor (IZA). [Downloadable!]
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  4. Andreas Polk & Armin Schmutzler, 2003. "Lobbying against Environmental Regulation vs. Lobbying for Loopholes," Working Papers 0301, University of Zurich, Socioeconomic Institute. [Downloadable!]
    Other versions:
  5. Borek, Thomas & Bühler, Stefan & Schmutzler, Armin, 2003. "Weddings with Uncertain Prospects - Mergers under Asymmetric Information," CEPR Discussion Papers 3839, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  6. Bruno S. Frey & Simon Luechinger & Alois Stutzer, 2004. "Valuing Public Goods: The Life Satisfaction Approach," CREMA Working Paper Series 2004-11, Center for Research in Economics, Management and the Arts (CREMA). [Downloadable!]
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  7. Samuel Muehlemann & Juerg Schweri & Rainer Winkelmann & Stefan C. Wolter, 2005. "A Structural Model of Demand for Apprentices," Working Papers 0504, University of Zurich, Socioeconomic Institute. [Downloadable!]
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  8. Bühler, Stefan & Schmutzler, Armin, 2003. "Who Integrates?," CEPR Discussion Papers 4066, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  9. Zava Aydemir & Stefan Buehler, 2002. "Estimating Vertical Foreclosure in U.S. Gasoline Supply," Working Papers 0212, University of Zurich, Socioeconomic Institute. [Downloadable!]
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  10. Mahler, Philippe & Winkelmann, Rainer, 2004. "Single Motherhood and (Un)Equal Educational Opportunities: Evidence for Germany," IZA Discussion Papers 1391, Institute for the Study of Labor (IZA). [Downloadable!]
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  11. Bellemare, C. & Melenberg, B. & Soest, A. van, 2002. "Semi-parametric models for satisfaction with income," Discussion Paper 87, Tilburg University, Center for Economic Research. [Downloadable!]
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  12. Yves Schneider & Peter Zweifel, 2005. "Spatial Effects in Willingness-to-Pay: The Case of Two Nuclear Risks," Working Papers 0502, University of Zurich, Socioeconomic Institute, revised Sep 2007. [Downloadable!]
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Mallick, Debdulal, 2008. "Marginal and Interaction Effects in Ordered Response Models," MPRA Paper 9617, University Library of Munich, Germany. [Downloadable!]
  2. Daniel Halbheer & Ernst Fehr & Lorenz Goette & Armin Schmutzler, 2007. "Self-Reinforcing Market Dominance," Working Papers 0711, University of Zurich, Socioeconomic Institute. [Downloadable!]
  3. Andrew M. Jones & Stefanie Schurer, 2007. "How does heterogeneity shape the socioeconomic gradient in health satisfaction?," Health, Econometrics and Data Group (HEDG) Working Papers 07/05, HEDG, c/o Department of Economics, University of York. [Downloadable!]
    Other versions:
  4. Thomas Cornelißen & Christian Pfeifer, 2007. "The Impact of Participation in Sports on Educational Attainment : New Evidence from Germany," SOEPpapers 68, DIW Berlin, The German Socio-Economic Panel (SOEP). [Downloadable!]
    Other versions:
  5. Stefan Boes, 2007. "Nonparametric Analysis of Treatment Effects in Ordered Response Models," Working Papers 0709, University of Zurich, Socioeconomic Institute. [Downloadable!]
  6. Oscar Bernal & Jean-Yves Gnabo, 2007. "Talks, financial operations or both? Generalizing central banks’ FX reaction functions," Working Papers DULBEA 07-03.RS, Université libre de Bruxelles, Department of Applied Economics (DULBEA). [Downloadable!]
  7. Karolin Becker & Peter Zweifel, 2005. "Cost Sharing in Health Insurance: An Instrument for Risk Selection?," Working Papers 0513, University of Zurich, Socioeconomic Institute. [Downloadable!]
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