Transcription of 1 Linear in Parameters Models IV versus Control …
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Imbens/Wooldridge, Lecture Notes 6, Summer 07 What s New in Econometrics?NBER,Summer 2007 Lecture 6,Tuesday,July 31st, amControl Function and Related MethodsThese notes review the Control function approach to handling endogeneity in Models linearin Parameters , and draws comparisons with standard methods such as 2 SLS. Certain nonlinearmodels with endogenous explanatory variables are most easily estimated using the CF method,and the recent focus on average marginal effects suggests some simple, flexible advances in semiparametric and nonparametric Control function method are covered,and an example for how one can apply CF methods to nonlinear panel data Models is Models :IV versus Control FunctionsMost Models that are Linear in Parameters are estimated using standard IV
Imbens/Wooldridge, Lecture Notes 6, Summer ’07 Standard CF approaches impose extra assumptions even in the simple model (1.1) if we allow y2 to have discreteness in its distribution. For example, suppose y2 is a binary response. Then the CF approach involves estimating
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