This paper studies single equation instrumental variable models of ordered choice in which explanatory variables may be endogenous. The models are weakly restrictive, leaving unspecified the mechanism that generates endogenous variables. These incomplete models are set, not point, identifying for parametrically (e.g. ordered probit) or nonparametrically specified structural functions. The paper gives results on the properties of the identified set for the case in which potentially endogenous explanatory variables are discrete. The results are used as the basis for calculations showing the rate of shrinkage of identified sets as the number of classes in which the outcome is categorised increases.
Authors
![Andrew Chesher](/sites/default/files/styles/square_desktop/public/2022-07/Andrew_Chesher.jpg?itok=_w2THcSE)
Research Fellow University College London
Andrew is the Director of the ESRC Centre for Microdata Methods and Practice (cemmap) and Professor of Economics and Economic Measurement at UCL.
![Person graphic](/sites/default/files/styles/square_desktop/public/2022-06/IFS-person-graphic.png?itok=hWCtTSrz)
Working Paper details
- DOI
- 10.1920/wp.cem.2009.3709
- Publisher
- IFS
Suggested citation
Chesher, A and Smolinski, K. (2009). IV models of ordered choice. London: IFS. Available at: https://ifs.org.uk/publications/iv-models-ordered-choice (accessed: 30 June 2024).
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