Abstract
In recent decades, econometric tools for handling instrumental-variable regressions characterized by many instruments have been developed. We introduce a command, mivreg, that implements consistent estimation and testing in linear instrumental-variables regressions with many (possibly weak) instruments. mivreg covers both homoskedastic and heteroskedastic environments, estimators that are both nonrobust and robust to error nonnormality and projection matrix limit, and parameter tests and specification tests both with and without correction for existence of moments. We also run a small simulation experiment using mivreg and illustrate how mivreg works with real data.
10 References
Anatolyev, S. 2019. Many instruments and/or regressors: A friendly guide. Journal of Economic Surveys 33: 689–726. Google Scholar | Crossref | |
Anatolyev, S., Gospodinov, N. 2011. Specification testing in models with many instruments. Econometric Theory 27: 427–441. Google Scholar | Crossref | |
Anatolyev, S., Yaskov, P. 2017. Asymptotics of diagonal elements of projection matrices under many instruments/regressors. Econometric Theory 33: 717–738. Google Scholar | Crossref | |
Angrist, J. D., Krueger, A. B. 2001. Instrumental variables and the search for identification: From supply and demand to natural experiments. Journal of Economic Perspectives 15: 69–85. Google Scholar | Crossref | |
Basmann, R. L. 1957. A generalized classical method of linear estimation of coefficients in a structural equation. Econometrica 25: 77–83. Google Scholar | Crossref | |
Bekker, P. A. 1994. Alternative approximations to the distributions of instrumental variable estimators. Econometrica 62: 657–681. Google Scholar | Crossref | |
Chao, J. C., Hausman, J. A., Newey, W. K., Swanson, N. R., Woutersen, T. 2014. Testing overidentifying restrictions with many instruments and heteroskedasticity. Journal of Econometrics 178: 15–21. Google Scholar | Crossref | |
Fuller, W. A. 1977. Some properties of a modification of the limited information estimator. Econometrica 45: 939–954. Google Scholar | Crossref | |
Hansen, C., Hausman, J., Newey, W. K. 2008. Estimation with many instrumental variables. Journal of Business & Economics Statistics 26: 398–422. Google Scholar | Crossref | |
Hausman, J. A., Newey, W. K., Woutersen, T., Chao, J. C., Swanson, N. R. 2012. Instrumental variable estimation with heteroskedasticity and many instruments. Quantitative Economics 3: 211–255. Google Scholar | Crossref | |
Lee, Y., Okui, R. 2012. Hahn–Hausman test as a specification test. Journal of Econometrics 167: 133–139. Google Scholar | Crossref | |
Mroz, T. A. 1987. The sensitivity of an empirical model of married women’s hours of work to economic and statistical assumptions. Econometrica 55: 765–799. Google Scholar | Crossref |