A test for endogeneity in conditional quantile models
Tae-Hwan Kim (tae-hwan.kim@yonsei.ac.kr) and
Christophe Muller
No 2012rwp-49, Working papers from Yonsei University, Yonsei Economics Research Institute
Abstract:
In this paper we develop a test to detect the presence of endogeneity in conditional quantile models. The proposed test is a Hausman-type test in that it is based on the distance between two estimators in which one is consistent only under no endogeneity while the other estimator is consistent regardless of the presence of endogeneity in conditional quantile models. We derive the asymptotic distribution of the test statistic under the null hypothesis of no endogeneity. The finite sample properties of the test is investigated by Monte Carlo simulations and it is found that the test shows reasonably good size and power properties in finite samples. Finally, we apply our approach to test for endogeneity in a conditional quantile model for estimating Engel curves using the UK consumption and expenditure data. It is revealed that the pattern of endogeneity found in the Engel curve varies across different quantiles.
Keywords: regression quantile; endogeneity; two-stage estimation; Hausman test; Engel curve (search for similar items in EconPapers)
JEL-codes: C21 (search for similar items in EconPapers)
Pages: 19 pages
Date: 2012-05
New Economics Papers: this item is included in nep-ecm
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Persistent link: https://EconPapers.repec.org/RePEc:yon:wpaper:2012rwp-49
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