Estimating and testing non-linear models using instrumental variables
By: Lance Lochner, Enrico Moretti
Contributors: Moretti, Enrico; National Bureau of Economic Research
Series: NBER working paper series -- working paper 17039; Working paper series (National Bureau of Economic Research : Online) -- working paper no. 17039.
Publisher: National Bureau of Economic Research
Published: 2011
Place of publication: Cambridge, MA
Language: eng
Format: [electronic resource] /
Description: "In many empirical studies, researchers seek to estimate causal relationships using instrumental variables.  When only one valid instrumental variable is available, researchers are limited to estimating linear models, even when the true model may be non-linear.  In this case, ordinary least squares and instrumental variable estimators will identify different weighted averages of the underlying marginal causal effects even in the absence of endogeneity.  As such, the traditional Hausman test for endogeneity is uninformative.  We build on this insight to develop a new test for endogeneity that is robust to any form of non-linearity.  Notably, our test works well even when only a single valid instrument is available.  This has important practical applications, since it implies that researchers can estimate a completely unrestricted non-linear model by OLS, and then use our test to establish whether those OLS estimates are consistent.  We re-visit a few recent empirical examples to show how the test can be used to shed new light on the role of non-linearity"--National Bureau of Economic Research web site.
Notes: Title from PDF file as viewed on 8/2/2011.

Includes bibliographical references.

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Mode of access: World Wide Web.