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Ordered response models


Boes, Stefan; Winkelmann, Rainer (2006). Ordered response models. Allgemeines Statistisches Archiv, 90(1):167-181.

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.

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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Additional indexing

Item Type:Journal Article, refereed
Communities & Collections:03 Faculty of Economics > Department of Economics
Dewey Decimal Classification:330 Economics
Scopus Subject Areas:Physical Sciences > Statistics and Probability
Scope:Discipline-based scholarship (basic research)
Language:English
Date:19 October 2006
Deposited On:11 Feb 2008 12:21
Last Modified:01 Jul 2024 03:38
Publisher:Springer
ISSN:0002-6018
OA Status:Green
Publisher DOI:https://doi.org/10.1007/s10182-006-0228-y
Other Identification Number:merlin-id:1888
  • Content: Accepted Version