Testing for exogeneity in cointegrated panels

This paper proposes a test for the null that, in a cointegrated panel, the long-run correlation between the regressors and the error term is different from zero. As is well known, in such case the OLS estimator is T-consistent, whereas it is math formula-consistent when there is no endogeneity. Othe...

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Main Author: Trapani, Lorenzo
Format: Article
Published: Wiley 2015
Online Access:https://eprints.nottingham.ac.uk/49228/
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author Trapani, Lorenzo
author_facet Trapani, Lorenzo
author_sort Trapani, Lorenzo
building Nottingham Research Data Repository
collection Online Access
description This paper proposes a test for the null that, in a cointegrated panel, the long-run correlation between the regressors and the error term is different from zero. As is well known, in such case the OLS estimator is T-consistent, whereas it is math formula-consistent when there is no endogeneity. Other estimators can be employed, such as the FM-OLS, that are math formula-consistent irrespective of whether exogeneity is present or not. Using the difference between the former and the latter estimator, we construct a test statistic which diverges at a rate math formula under the null of endogeneity, whilst it is bounded under the alternative of exogeneity, and employ a randomization approach to carry out the test. Monte Carlo evidence shows that the test has the correct size and good power.
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spelling nottingham-492282020-05-04T20:08:03Z https://eprints.nottingham.ac.uk/49228/ Testing for exogeneity in cointegrated panels Trapani, Lorenzo This paper proposes a test for the null that, in a cointegrated panel, the long-run correlation between the regressors and the error term is different from zero. As is well known, in such case the OLS estimator is T-consistent, whereas it is math formula-consistent when there is no endogeneity. Other estimators can be employed, such as the FM-OLS, that are math formula-consistent irrespective of whether exogeneity is present or not. Using the difference between the former and the latter estimator, we construct a test statistic which diverges at a rate math formula under the null of endogeneity, whilst it is bounded under the alternative of exogeneity, and employ a randomization approach to carry out the test. Monte Carlo evidence shows that the test has the correct size and good power. Wiley 2015-08 Article PeerReviewed Trapani, Lorenzo (2015) Testing for exogeneity in cointegrated panels. Oxford Bulletin of Economics and Statistics, 77 (4). pp. 475-494. ISSN 1468-0084 http://onlinelibrary.wiley.com/doi/10.1111/obes.12072/full doi:10.1111/obes.12072 doi:10.1111/obes.12072
spellingShingle Trapani, Lorenzo
Testing for exogeneity in cointegrated panels
title Testing for exogeneity in cointegrated panels
title_full Testing for exogeneity in cointegrated panels
title_fullStr Testing for exogeneity in cointegrated panels
title_full_unstemmed Testing for exogeneity in cointegrated panels
title_short Testing for exogeneity in cointegrated panels
title_sort testing for exogeneity in cointegrated panels
url https://eprints.nottingham.ac.uk/49228/
https://eprints.nottingham.ac.uk/49228/
https://eprints.nottingham.ac.uk/49228/