Weak Identification in Discrete Choice Models

David T. Frazier, Eric Renault, Lina Zhang and Xueyan Zhao
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David T. Frazier: Department of Econometrics and Business Statistics, Monash University, and the Australian Center for Excellence in Mathematics and Statistics (ACEMS)
Eric Renault: Department of Economics, University of Warwick.
Lina Zhang: Department of Econometrics and Business Statistics, Monash University

The Warwick Economics Research Paper Series (TWERPS) from University of Warwick, Department of Economics

Abstract: We study the impact of weak identification in discrete choice models, and provide insights into the determinants of identification strength in these models. Using these insights, we propose a novel test that can consistently detect weak identification in commonly applied discrete choice models, such as probit, logit, and many of their extensions. Furthermore, we demonstrate that when the null hypothesis of weak identification is rejected, Wald-based inference can be carried out using standard formulas and critical values. A Monte Carlo study compares our proposed testing approach against commonly applied weak identification tests. The results simultaneously demonstrate the good performance of our approach and the fundamental failure of using conventional weak identification tests for linear models in the discrete choice model context. Furthermore, we compare our approach against those commonly applied in the literature in two empirical examples: married women labor force participation, and US food aid and civil conflicts.

Keywords: Discrete Choice Models; Weak Instruments; Weak identification; Identification Testing (search for similar items in EconPapers)
Date: 2021
New Economics Papers: this item is included in nep-dcm
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Working Paper: Weak Identification in Discrete Choice Models (2021)
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Persistent link: https://EconPapers.repec.org/RePEc:wrk:warwec:1336

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