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Ordered Response Models


Boes, Stefan; Winkelmann, Rainer (2005). Ordered Response Models. Working paper series / Socioeconomic Institute No. 507, University of Zurich.

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.

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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Additional indexing

Item Type:Working Paper
Communities & Collections:03 Faculty of Economics > Department of Economics
Working Paper Series > Socioeconomic Institute (former)
Dewey Decimal Classification:330 Economics
JEL Classification:C25, I29
Language:English
Date:March 2005
Deposited On:29 Nov 2011 22:32
Last Modified:05 Apr 2016 15:11
Series Name:Working paper series / Socioeconomic Institute
Official URL:http://www.econ.uzh.ch/wp.html
Permanent URL: https://doi.org/10.5167/uzh-52204

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