Dear Nikola:
I'm not sure, but probably it would be possible to test for non-Granger
causality test as David Giles explains for Eviews using your option VEC
Granger Causality Test/ Block Exogeneity Wald Test with the VAR options in
Gretl.
https://davegiles.blogspot.com/2011/04/testing-for-granger-causality.html
Best regards
José Perles
University of Alicante
El mié, 19 abr 2023 a las 18:47, Sven Schreiber (<
sven.schreiber(a)fu-berlin.de>) escribió:
Am 19.04.2023 um 15:40 schrieb NIkola Radivojevic:
dear,
how to conduct the VEC Granger Causality Test/ Block Exogeneity Wald Test?
Hi, I'm interpreting your question as being about strong exogeneity of,
say, x with respect to y, such that no (lagged) terms involving x should
appear in the equation with y (or \Delta y) on the LHS.
I don't think this is natively available in the VECM context, and probably
for good reasons. Quoting Kilian & Lütkepohl (the SVAR book): "Granger
causality may be assessed within the VEC framework [...] but the asymptotic
distributions depend on nuisance parameters. [...] an easy cure for this
problem is to add a further lag to the VAR process and perform the test on
the first p lags of the lag-augmented VAR." (p. 49)
So I would recommend to just run a single-equation OLS regression for y
with p+1 lags of all involved variables (x as well as other conditioning
variables Z), and then perform an omission restriction on the lags 1...p of
x.
Of course this test will in practice be sensitive to the lag choice p, but
that is a general problem not specific to this question.
cheers
sven
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