An Economic Analysis of Exclusion Restrictions for Instrumental Variable Estimation

43 Pages Posted: 26 Feb 2007

See all articles by Gerard J. van den Berg

Gerard J. van den Berg

University of Groningen; VU University Amsterdam - Department of Economics; Centre for Economic Policy Research (CEPR); IZA Institute of Labor Economics; Tinbergen Institute

Multiple version iconThere are 2 versions of this paper

Date Written: January 2007

Abstract

Instrumental variable estimation requires untestable exclusion restrictions. With policy effects on individual outcomes, there is typically a time interval between the moment the agent realizes that he may be exposed to the policy and the actual exposure or the announcement of the actual treatment status. In such cases there is an incentive for the agent to acquire information on the value of the IV. This leads to violation of the exclusion restriction. We analyze this in a dynamic economic model framework. This provides a foundation of exclusion restrictions in terms of economic behavior. The results are used to describe policy evaluation settings in which instrumental variables are likely or unlikely to make sense. For the latter cases we analyze the asymptotic bias. The exclusion restriction is more likely to be violated if the outcome of interest strongly depends on interactions between the agent's effort before the outcome is realized and the actual treatment status. The bias has the same sign as this interaction effect. Violation does not causally depend on the weakness of the candidate instrument or the size of the average treatment effect. With experiments, violation is more likely if the treatment and control groups are to be of similar size. We also address side-effects. We develop a novel economic interpretation of placebo effects and provide some empirical evidence for the relevance of the analysis.

Keywords: treatment, policy evaluation, information, selection effects, randomization, placebo effect

JEL Classification: C31, C21, D81, J68, D82, D83, D84, C35, C51

Suggested Citation

van den Berg, Gerard J., An Economic Analysis of Exclusion Restrictions for Instrumental Variable Estimation (January 2007). IZA Discussion Paper No. 2585, Available at SSRN: https://ssrn.com/abstract=964965 or http://dx.doi.org/10.2139/ssrn.964965

Gerard J. Van den Berg (Contact Author)

University of Groningen ( email )

P.O. Box 800
9700 AH Groningen, Groningen 9700 AV
Netherlands

VU University Amsterdam - Department of Economics ( email )

De Boelelaan 1105
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+31 20 444 6132 (Phone)
+32 20 444 6020 (Fax)

Centre for Economic Policy Research (CEPR)

London
United Kingdom

IZA Institute of Labor Economics

P.O. Box 7240
Bonn, D-53072
Germany

Tinbergen Institute

Burg. Oudlaan 50
Rotterdam, 3062 PA
Netherlands

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