A ridge-regularized jackknifed Anderson-Rubin test
We consider hypothesis testing in instrumental variable regression models with few included exogenous covariates but many instruments—possibly more than the number of observations. We show that a ridge-regularized version of the jackknifed Anderson and Rubin (henceforth AR) test controls asymptotic...
| Главные авторы: | , , |
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| Формат: | Journal article |
| Язык: | English |
| Опубликовано: |
Taylor & Francis
2024
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| _version_ | 1826313270971072512 |
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| author | Dovì, M-S Kock, AB Mavroeidis, S |
| author_facet | Dovì, M-S Kock, AB Mavroeidis, S |
| author_sort | Dovì, M-S |
| collection | OXFORD |
| description | We consider hypothesis testing in instrumental variable regression models with few included exogenous covariates but many instruments—possibly more than the number of observations. We show that a ridge-regularized version of the jackknifed Anderson and Rubin (henceforth AR) test controls asymptotic size in the presence of heteroscedasticity, and when the instruments may be arbitrarily weak. Asymptotic size control is established under weaker assumptions than those imposed for recently proposed jackknifed AR tests in the literature. Furthermore, ridge-regularization extends the scope of jackknifed AR tests to situations in which there are more instruments than observations. Monte Carlo simulations indicate that our method has favorable finite-sample size and power properties compared to recently proposed alternative approaches in the literature. An empirical application on the elasticity of substitution between immigrants and natives in the United States illustrates the usefulness of the proposed method for practitioners. |
| first_indexed | 2024-04-09T03:57:48Z |
| format | Journal article |
| id | oxford-uuid:5f44769e-2940-4fb1-bdb1-7746e08f018a |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-09-25T04:10:26Z |
| publishDate | 2024 |
| publisher | Taylor & Francis |
| record_format | dspace |
| spelling | oxford-uuid:5f44769e-2940-4fb1-bdb1-7746e08f018a2024-06-24T09:01:31ZA ridge-regularized jackknifed Anderson-Rubin testJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:5f44769e-2940-4fb1-bdb1-7746e08f018aEnglishSymplectic ElementsTaylor & Francis2024Dovì, M-SKock, ABMavroeidis, SWe consider hypothesis testing in instrumental variable regression models with few included exogenous covariates but many instruments—possibly more than the number of observations. We show that a ridge-regularized version of the jackknifed Anderson and Rubin (henceforth AR) test controls asymptotic size in the presence of heteroscedasticity, and when the instruments may be arbitrarily weak. Asymptotic size control is established under weaker assumptions than those imposed for recently proposed jackknifed AR tests in the literature. Furthermore, ridge-regularization extends the scope of jackknifed AR tests to situations in which there are more instruments than observations. Monte Carlo simulations indicate that our method has favorable finite-sample size and power properties compared to recently proposed alternative approaches in the literature. An empirical application on the elasticity of substitution between immigrants and natives in the United States illustrates the usefulness of the proposed method for practitioners. |
| spellingShingle | Dovì, M-S Kock, AB Mavroeidis, S A ridge-regularized jackknifed Anderson-Rubin test |
| title | A ridge-regularized jackknifed Anderson-Rubin test |
| title_full | A ridge-regularized jackknifed Anderson-Rubin test |
| title_fullStr | A ridge-regularized jackknifed Anderson-Rubin test |
| title_full_unstemmed | A ridge-regularized jackknifed Anderson-Rubin test |
| title_short | A ridge-regularized jackknifed Anderson-Rubin test |
| title_sort | ridge regularized jackknifed anderson rubin test |
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