The identification power of smoothness assumptions in models with counterfactual outcomes

Arbeitspapier

In this paper, we investigate what can be learned about average counterfactual outcomes when it is assumed that treatment response functions are smooth. The smoothness conditions in this paper amount to assuming that the differences in average counterfactual outcomes are bounded under different treatments. We obtain a set of new partial identification results for the average treatment response by imposing smoothness conditions alone, by combining them with monotonicity assumptions, and by adding in- strumental variables assumptions to treatment responses. We give a numerical illustration of our findings by reanalyzing the return to schooling example of Manski and Pepper (2000) and demonstrate how one can conduct sensitivity analysis by varying the degrees of smoothness assumption. In addition, we discuss how to carry out inference based on the existing literature using our identification results and illustrate its usefulness by applying one of our identification results to the Job Corps Study dataset. Our empirical results show that there is strong evidence of the gender and race gaps among the less educated population.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: cemmap working paper ; No. CWP17/14

Classification and Topics

• Classification: Wirtschaft ; Semiparametric and Nonparametric Methods: General ; Methodological Issues: General ; Single Equation Models; Single Variables: Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions ; Single Equation Models: Single Variables: Instrumental Variables (IV) Estimation
• Subject: Bounds ; identification regions ; instrumental variables ; monotonicity ; partial identification ; sensitivity analysis ; treatment responses ; treatment selection

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Kim, Wooyoung ; Kwon, Koohyun ; Kwon, Soonwoo ; Lee, Sokbae
• Event: Veröffentlichung
• (who): Centre for Microdata Methods and Practice (cemmap)
• (where): London
• (when): 2014

Further information

• DOI: doi:10.1920/wp.cem.2014.1714
• Handle: http://hdl.handle.net/10419/97363
• Last update: 10.03.2025, 11:45 AM CET