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On the validity of Durbin-Wu-Hausman tests for partial exogeneity with weak identification


Doko Tchatoka, F, On the validity of Durbin-Wu-Hausman tests for partial exogeneity with weak identification, International Journal of Statistics and Economics, 12, (3) pp. 1-17. ISSN 0973-7022 (2013) [Refereed Article]

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Copyright 2013 CESER Publications

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This paper investigates the size and power properties of the subset (Wu, 1973,1974) T2-test and (Hausman, 1978) test for partial exogeniety when instrumental variables (IVs) are weakly associated with endogenous regressors (weak identification). We provide a characterization of the limiting distributions of the test statistics under both the null hypothesis of partial exogeneity (size), and the alternaitve hypothesis of endogeneity (power). The results show that when identification is weak, all statistics have non-standard limiting distributions. Therefore, the use of the usual chi-squared critical values within inference may be misleading. Furthermore, test consistency does no longer hold with weak instruments, and a Monte Carlo experiment indicates that both tests have low power over a wid range of cases when identification is weak. We provide an empirical application which supports our theoretical findings.

Item Details

Item Type:Refereed Article
Keywords:partial exogeneity, weak identification, specification tests, size distortions
Research Division:Economics
Research Group:Applied economics
Research Field:Financial economics
Objective Division:Economic Framework
Objective Group:Macroeconomics
Objective Field:Fiscal policy
UTAS Author:Doko Tchatoka, F (Dr Firmin Doko Tchatoka)
ID Code:87602
Year Published:2013
Deposited By:Economics and Finance
Deposited On:2013-11-26
Last Modified:2017-09-15

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