Sven,
I may have answered my own question. I found this: "A pvalue of less than or
equal to 0.05 is often used to indicate whether there is evidence against
the null hypothesis".
Would you agree with that in my case?
-----Original Message-----
From: Sven Schreiber [mailto:svetosch@gmx.net]
Sent: Monday, August 24, 2020 2:28 AM
To: gretl-users(a)gretlml.univpm.it
Subject: [Gretl-users] Re: Cointegration
Am 24.08.2020 um 02:34 schrieb Mike @me.com:
Hi All,
I am trying to determine if two time series (closing prices of two
securities)are cointegrated. The two pass the eyeball test.
I have conducted both the Johansen and Engle-Granger tests. The
results are attached.
I dont know how to interpret the results. I was hoping for a big
YES, NO or at least a LIKELY at the end of the tests.
Well, statistical tools such as gretl cannot draw the conclusions for you.
One (among many other) reason is that different people prefer different
significance levels.
If anyone would tell me which statistics I should be looking at and
how to interpret them, I would sure appreciate it.
However, in your case it seems pretty clear. (BTW it seems you chose the
"verbose" option, right? There are a lot of auxiliary results in the
output.)
If you look at the top of your page 2 for the Johansen output you find the
so-called Rank tests. You want to test the null of rank=0, so the first row.
The pvalue is below 0.001, so very clear rejection of H0, thus strong
evidence against absence of cointegration, probably as expected in this
case. (Non-statisticians would say evidence in favor of
CI.)
BTW, I would ignore the output "Corrected for sample size". The ad-hoc
method behind these numbers is outdated, maybe we should retire that. In
this case you do not have a small sample anyway. (But if you did, you would
have to use the contributed package "johansensmall" by yours truly.)
hth,
sven
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