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Chesher, Andrew
Year of Publication: 
Series/Report no.: 
cemmap working paper CWP23/09
This paper studies single equation models for binary outcomes incorporating instrumental variable restrictions. The models are incomplete in the sense that they place no restriction on the way in which values of endogenous variables are generated. The models are set, not point, identifying. The paper explores the nature of set identification in single equation IV models in which the binary outcome is determined by a threshold crossing condition. There is special attention to models which require the threshold crossing function to be a monotone function of a linear index involving observable endogenous and exogenous explanatory variables. Identified sets can be large unless instrumental variables have substantial predictive power. A generic feature of the identified sets is that they are not connected when instruments are weak. The results suggest that the strong point identifying power of triangular control function models - restricted versions of the IV models considered here - is fragile, the wide expanses of the IV model's identified set awaiting in the event of failure of the triangular model's restrictions.
Binary Response
Control functions
Incomplete models
Index Restrictions
Instrumental variables
Probit Model
Set Identification
Threshold Crossing Models
Triangular Models
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

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