Heterogeneous treatment effects with mismeasured endogenous treatment
This paper studies the identifying power of an instrumental variable in the nonparametric heterogeneous treatment effect framework when a binary treatment is mismeasured and endogenous. Using a binary instrumental variable, I characterize the sharp identified set for the local average treatment effe...
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| Veröffentlicht in: | Quantitative economics Jg. 9; H. 3; S. 1335 - 1370 |
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| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
New Haven, CT
The Econometric Society
01.11.2018
John Wiley & Sons, Inc |
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| ISSN: | 1759-7331, 1759-7323, 1759-7331 |
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| Abstract | This paper studies the identifying power of an instrumental variable in the nonparametric heterogeneous treatment effect framework when a binary treatment is mismeasured and endogenous. Using a binary instrumental variable, I characterize the sharp identified set for the local average treatment effect under the exclusion restriction of an instrument and the deterministic monotonicity of the true treatment in the instrument. Even allowing for general measurement error (e.g., the measurement error is endogenous), it is still possible to obtain finite bounds on the local average treatment effect. Notably, the Wald estimand is an upper bound on the local average treatment effect, but it is not the sharp bound in general. I also provide a confidence interval for the local average treatment effect with uniformly asymptotically valid size control. Furthermore, I demonstrate that the identification strategy of this paper offers a new use of repeated measurements for tightening the identified set. |
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| AbstractList | This paper studies the identifying power of an instrumental variable in the nonparametric heterogeneous treatment effect framework when a binary treatment is mismeasured and endogenous. Using a binary instrumental variable, I characterize the sharp identified set for the local average treatment effect under the exclusion restriction of an instrument and the deterministic monotonicity of the true treatment in the instrument. Even allowing for general measurement error (e.g., the measurement error is endogenous), it is still possible to obtain finite bounds on the local average treatment effect. Notably, the Wald estimand is an upper bound on the local average treatment effect, but it is not the sharp bound in general. I also provide a confidence interval for the local average treatment effect with uniformly asymptotically valid size control. Furthermore, I demonstrate that the identification strategy of this paper offers a new use of repeated measurements for tightening the identified set. |
| Author | Ura, Takuya |
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| CitedBy_id | crossref_primary_10_1080_07350015_2021_1970573 crossref_primary_10_1002_jae_3079 crossref_primary_10_1016_j_jeconom_2021_01_012 crossref_primary_10_1177_1536867X241297916 crossref_primary_10_1017_S0266466621000451 crossref_primary_10_1080_07350015_2024_2415102 crossref_primary_10_1080_07474938_2018_1485833 crossref_primary_10_1002_jae_3116 crossref_primary_10_3982_QE1670 crossref_primary_10_1016_j_jeconom_2018_10_005 crossref_primary_10_1016_j_jeoa_2025_100569 crossref_primary_10_1111_obes_12581 crossref_primary_10_1177_1536867X241257347 crossref_primary_10_1016_j_jeconom_2019_01_007 crossref_primary_10_1017_S026646662000002X crossref_primary_10_1093_biomet_asz060 crossref_primary_10_1016_j_jeconom_2023_105556 crossref_primary_10_1016_j_jeconom_2025_106055 |
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| DOI | 10.3982/QE886 |
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| SubjectTerms | Averages C21 C26 Econometrics Economic models Endogenous endogenous measurement error instrumental variable Local average treatment effect Measurement Measurement errors nonclassical measurement error partial identification Power |
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| Title | Heterogeneous treatment effects with mismeasured endogenous treatment |
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