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Testing identifying assumptions in bivariate probit models

Bibliographic Data

ID21653448
AuthorsSantiago Acerenza (Department of Economics Universidad ORT Uruguay Montevideo Uruguay), Otávio Bartalotti (0000-0001-5151-3277, Department of Economics Iowa State University Ames Iowa USA), Désiré Kédagni (0000-0001-5741-0797, Department of Economics University of North Carolina at Chapel Hill Chapel Hill NC USA, corresponding author)
Year2023
Volume38
Issue3
Pages407-422
Publication date2023-04-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueJournal of Applied Econometrics (JOURNAL)
Journal identifiersISSN: 1099-1255 • E-ISSN: 0883-7252
PublisherWiley (PUBLISHER • GB)
DOI10.1002/jae.2956
OpenAlexW3175583512
LanguageEN
Citations received1
References cited32

This paper considers the bivariate probit model's identifying assumptions: linear index specification, joint normality of errors, instrument exogeneity, and relevance. First, we develop sharp testable equalities that detect all possible observable violations of the assumptions. Second, we propose an easy‐to‐implement testing procedure for the model's validity using existing inference methods for intersection bounds. The test achieves correct empirical size and performs well in detecting violations of the conditions in simulations. Finally, we provide a road map on what to do when the bivariate probit model is rejected, including novel bounds for the average treatment effect that relax the normality assumption

Bivariate analysis · Econometrics · Endogeneity · Inference · Joint probability distribution · Multinomial probit · Multivariate probit model · Normality · Probit · Probit model · Statistics · Advanced Causal Inference Techniques · Computer Science · Health Systems, Economic Evaluations, Quality of Life · Mathematics · Statistical Methods in Clinical Trials · Artificial Intelligence

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Unique citing works1
Citations per year1
Citation span2025 - 2025 (1)
Citation velocityrecent
Highly citedNo
Citation typesNeutral: 1

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