Identification region of the potential outcome distributions under instrument independence

Arbeitspapier

This paper examines identification power of the instrument exogeneity assumption in the treatment effect model. We derive the identification region: The set of potential outcome distributions that are compatible with data and the model restriction. The model restrictions whose identifying power is investigated are (i) instrument independence of each of the potential outcome (marginal independence), (ii) instrument joint independence of the potential outcomes and the selection heterogeneity, and (iii) instrument monotonicity in addition to (ii) (the LATE restriction of Imbens and Angrist (1994)), where these restrictions become stronger in the order of listing. By comparing the size of the identification region under each restriction, we show that the joint independence restriction can provide further identifying information for the potential outcome distributions than marginal independence, but the LATE restriction never does since it solely constrains the distribution of data. We also derive the tightest possible bounds for the average treatment effects under each restriction. Our analysis covers both the discrete and continuous outcome case, and extends the treatment effect bounds of Balke and Pearl (1997) that are available only for the binary outcome case to a wider range of settings including the continuous outcome case.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: cemmap working paper ; No. CWP30/09

Classification and Topics

• Classification: Wirtschaft ; Semiparametric and Nonparametric Methods: General ; Single Equation Models; Single Variables: Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions
• Subject: Partial Identification ; Program Evaluation ; Treatment Effects ; Instrumental Variables ; Nichtparametrisches Verfahren ; Schätztheorie ; Instrumentalvariablen-Schätzmethode ; Theorie

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Kitagawa, Toru
• Event: Veröffentlichung
• (who): Centre for Microdata Methods and Practice (cemmap)
• (where): London
• (when): 2009

Further information

• DOI: doi:10.1920/wp.cem.2009.3009
• Handle: http://hdl.handle.net/10419/64677
• Last update: 10.03.2025, 11:42 AM CET