2009
DOI: 10.1177/1536867x0900900304
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Implementing Weak-Instrument Robust Tests for a General Class of Instrumental-Variables Models

Abstract: We present a minimum distance approach for conducting hypothesis testing in the presence of potentially weak instruments. Under this approach, we propose size-correct tests for limited dependent variable models with endogenous explanatory variables such as endogenous tobit and probit models. Additionally, we extend weak-instrument tests for the linear instrumental-variables model by allowing for variance-covariance estimation that is robust to arbitrary heteroskedasticity or intracluster dependence. We invert … Show more

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Cited by 201 publications
(118 citation statements)
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“…The neurodevelopment rate function (second development measure) is estimated using two-stage least squares (2SLS) when treating smoking as endogenous. Given that the instrument F-statistics for smoking participation are less than 10 in the subsamples stratified by SES, we estimate 95% confidence bounds for the 2SLS smoking participation effects that are robust for weak instruments using the conditional Likelihood Ratio (CLR) statistic (Andrews, Moreira, and Stock 2006; Finaly and Magnusson 2009). Standard over-identification tests are employed in the IV probit and 2SLS models to evaluate if the instruments fit the over-identification restrictions.…”
Section: Methodsmentioning
confidence: 99%
“…The neurodevelopment rate function (second development measure) is estimated using two-stage least squares (2SLS) when treating smoking as endogenous. Given that the instrument F-statistics for smoking participation are less than 10 in the subsamples stratified by SES, we estimate 95% confidence bounds for the 2SLS smoking participation effects that are robust for weak instruments using the conditional Likelihood Ratio (CLR) statistic (Andrews, Moreira, and Stock 2006; Finaly and Magnusson 2009). Standard over-identification tests are employed in the IV probit and 2SLS models to evaluate if the instruments fit the over-identification restrictions.…”
Section: Methodsmentioning
confidence: 99%
“…In this case, weak-instrument robust confidence bounds are needed for accurate inference. Therefore, in addition to standard inference using the usual asymptotic standard errors, we estimate 95% confidence bounds that are robust for weak instruments using the conditional likelihood ratio (CLR) statistic, which has more statistical power than other tests (Finaly and Magnusson 2009; Andrews, Moreira, and Stock 2006). Furthermore, we also re-estimate the IV model using limited information maximum likelihood (LIML), which has been suggested to provide less biased estimates with weak-instruments compared to 2SLS (Stock, Wright, and Yogo 2002).…”
Section: Methodsmentioning
confidence: 99%
“…Both IVs were strongly associated with having an NP as a primary care provider (partial F test=83794.0, p<0.0001; partial F test= 3145.5, p<0.0001). Two different estimation methods, two stage residual inclusion (2SRI) and IV probit models (3032) were employed for the IV analyses. The 2SRI model estimates the effect of care by NPs on potentially preventable hospitalization by estimating residuals of prediction of having NP care from the first stage logistic regression model adjusted for covariates.…”
Section: Methodsmentioning
confidence: 99%