An instrumental variable random coefficients model for binary outcomes

No CWP34/12, CeMMAP working papers from Centre for Microdata Methods and Practice, Institute for Fiscal Studies

Abstract: In this paper we study a random coefficient model for a binary outcome. We allow for the possibility that some or even all of the regressors are arbitrarily correlated with the random coefficients, thus permitting endogeneity. We assume the existence of observed instrumental variables Z that are jointly independent with the random coefficients, although we place no structure on the joint determination of the endogenous variable X and instruments Z, as would be required for a control function approach. The model fits within the spectrum of generalised instrumental variable models studied in Chesher and Rosen (2012a), and we thus apply identification results from that and related studies to the present context, demonstrating their use. Specifically, we characterize the identified set for the distribution of random coefficients in the binary response model with endogeneity via a collection of conditional moment inequalities, and we investigate the structure of these sets by way of numerical illustration.

Keywords: random coefficients; instrumental variables; endogeneity; incomplete models; set identification; partial identification; random sets (search for similar items in EconPapers)
JEL-codes: C10 C14 C50 C51 (search for similar items in EconPapers)
Date: 2012-10-23
New Economics Papers: this item is included in nep-ecm
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Related works:
Journal Article: An instrumental variable random‐coefficients model for binary outcomes (2014)
Working Paper: An instrumental variable random coefficients model for binary outcomes (2012)
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