Estimating and testing non-linear models using instrumental variables

Arbeitspapier

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.

Angaben zum Objekt

• Sprache: Englisch

Verweise und Beziehungen

• Erschienen in: Series: CIBC Working Paper ; No. 2011-2

Klassifikation und Themen

• Klassifikation: Wirtschaft
• Thema: Nichtlineares Verfahren ; Methode der kleinsten Quadrate ; Schätztheorie

Beteiligte, Orts- und Zeitangaben

• Ereignis: Geistige Schöpfung
• (wer): Lochner, Lance ; Moretti, Enrico
• Ereignis: Veröffentlichung
• (wer): The University of Western Ontario, CIBC Centre for Human Capital and Productivity
• (wo): London (Ontario)
• (wann): 2011

Weitere Informationen

• Handle: http://hdl.handle.net/10419/70352
• Letzte Aktualisierung: 10.03.2025, 11:41 MEZ