Abstract
This note investigates the numerical performance of an existing asymptotic test for the null hypothesis of equality between the average treatment effect (ATE) and the group fixed-effect (FE) estimands based on the standardized difference between ATE and FE estimators. It shows that this test has a size distortion. This distortion has implications to empirical economic research. It can lead to erroneously confirm the relevance of heterogeneous responses to policy interventions.
Acknowledgement
I would like to thank Helene Turon, Chris Muris, and Yanos Zylberberg for useful suggestions.
References
Banerjee, A., and L. Iyer. 2005. “History, Institutions, and Economic Performance: The Legacy of Colonial Land Tenure Systems in India.” American Economic Review 95 (4): 1190–1213.10.1257/0002828054825574Search in Google Scholar
Elliot, G., U. Muller, and M. Watson. 2015. “Nearly Optimal Tests When a Nuisance Parameter is Present Under the Null Hypothesis.” Econometrica 83 (2): 771–811.10.3982/ECTA10535Search in Google Scholar
Gibbons, C., J. Suarez Serrato, and M. Urbancic. 2018. “Broken or Fixed Effects?” Journal of Econometric Methods. DOI: 10.1515/jem-2017-0002.Search in Google Scholar
©2019 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Research Articles
- 10.1515/jem-2017-0015
- 10.1515/jem-2018-0001
- On the Size Distortion of a Test for Equality between the ATE and FE Estimands
- Nonparametric estimation of natural direct and indirect effects based on inverse probability weighting
- 10.1515/jem-2016-0007
- 10.1515/jem-2016-0013
- Dif-in-Dif Estimators of Multiplicative Treatment Effects
- Broken or Fixed Effects?
- Misspecified Discrete Choice Models and Huber-White Standard Errors
- Review Article
- Local Average and Quantile Treatment Effects Under Endogeneity: A Review
Articles in the same Issue
- Research Articles
- 10.1515/jem-2017-0015
- 10.1515/jem-2018-0001
- On the Size Distortion of a Test for Equality between the ATE and FE Estimands
- Nonparametric estimation of natural direct and indirect effects based on inverse probability weighting
- 10.1515/jem-2016-0007
- 10.1515/jem-2016-0013
- Dif-in-Dif Estimators of Multiplicative Treatment Effects
- Broken or Fixed Effects?
- Misspecified Discrete Choice Models and Huber-White Standard Errors
- Review Article
- Local Average and Quantile Treatment Effects Under Endogeneity: A Review