2012
DOI: 10.1111/j.1540-5982.2012.01733.x
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Comparing features of convenient estimators for binary choice models with endogenous regressors

Abstract: We discuss the relative advantages and disadvantages of four types of convenient estimators of binary choice models when regressors may be endogenous or mismeasured, or when errors are likely to be heteroskedastic. For example, such models arise when treatment is not randomly assigned and outcomes are binary. The estimators we compare are the two stage least squares linear probability model, maximum likelihood estimation, control function estimators, and special regressor methods. We specifically focus on mode… Show more

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Cited by 175 publications
(113 citation statements)
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References 38 publications
(47 reference statements)
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“…First, we estimate a linear probability model (LPM) because linear models do not suffer much from incidental parameter bias (Greene, 2004). Furthermore Lewbel et al (2012) …”
Section: Econometric Estimationmentioning
confidence: 99%
“…First, we estimate a linear probability model (LPM) because linear models do not suffer much from incidental parameter bias (Greene, 2004). Furthermore Lewbel et al (2012) …”
Section: Econometric Estimationmentioning
confidence: 99%
“…Hence, they are 'true' instrumental variable estimators (Lewbel et al, 2012). Yet linear models also have a number of less convenient features when they are applied to dichotomous variables.…”
Section: Resultsmentioning
confidence: 99%
“…Papers discussing limiting distribution theory for special regressor based estimators include Lewbel (2000Lewbel ( , 2007a, Maurin (2007, 2008), Jacho-Chávez (2009), Khan and Tamer (2010), Nekipelov (2010a, 2010b), and Dong and Lewbel (2012). Lewbel, Dong, and Yang (2012) provide a comparison of special regressor models versus maximum likelihood estimation, control function estimators and linear probability models. They conclude that the greatest weakness of special regressor methods is the extent to which they rely on strong properties of just one regressor, some of which are difficult to verify, and the resulting sensitivity of estimates to this one regressor.…”
Section: Discussionmentioning
confidence: 99%
“…This is particularly useful for cases where some of the endogenous regressors are themselves discrete or limited. See Lewbel, Dong, and Yang (2012) for details.…”
Section: Regressorsmentioning
confidence: 99%
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