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Granger Causality and Unit Roots. / Rodríguez-Caballero, Carlos Vladimir; Ventosa-Santaulària, Daniel.
In: Journal of Statistical and Econometric Methods, Vol. 3, No. 1, 2014, p. 97-114.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
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TY - JOUR
T1 - Granger Causality and Unit Roots
AU - Rodríguez-Caballero, Carlos Vladimir
AU - Ventosa-Santaulària, Daniel
PY - 2014
Y1 - 2014
N2 - The asymptotic behavior of the Granger-causality test under stochastic nonstationarity is studied. Our results confirm that the inference drawn from the test is not reliable when the series are integrated to the first order. In the presence of deterministic components, the test statistic diverges, eventually rejecting the null hypothesis, even when the series are independent of each other. Moreover, controlling for these deterministic elements (in the auxiliary regressions of the test) does not preclude the possibility of drawing erroneous inferences. Granger-causality tests should not be used under stochastic nonstationarity, a property typically found in many macroeconomic variables.
AB - The asymptotic behavior of the Granger-causality test under stochastic nonstationarity is studied. Our results confirm that the inference drawn from the test is not reliable when the series are integrated to the first order. In the presence of deterministic components, the test statistic diverges, eventually rejecting the null hypothesis, even when the series are independent of each other. Moreover, controlling for these deterministic elements (in the auxiliary regressions of the test) does not preclude the possibility of drawing erroneous inferences. Granger-causality tests should not be used under stochastic nonstationarity, a property typically found in many macroeconomic variables.
KW - Granger-causality
KW - Unit root
KW - Drift
M3 - Journal article
VL - 3
SP - 97
EP - 114
JO - Journal of Statistical and Econometric Methods
JF - Journal of Statistical and Econometric Methods
SN - 2241-0376
IS - 1
ER -