Thank your Professor Cottrell. These explanations are very useful.
Best regards
Talha



On Sun, May 1, 2011 at 5:17 AM, Allin Cottrell <cottrell(a)wfu.edu> wrote:
> On Sun, 1 May 2011, Talha Yalta wrote:
>
>> I want to add a table which will show Johansen tests can give
>> different results in small samples when different parameters are used.
>> In the table, I just use the trace test results (since this is just to
>> prove a point) and choose lags 1, 2, and 3. I also use the default
>> case as well as the --ct option. This results in 6 combinations.
>>
>> Here is how I proceed:
>>
>> For a bivariate case, if the trace test rejects c=0 and does not
>> reject c=1, I report c=1.
>
> OK.
>
>> If it is the other way around, then I report c=0 as the test
>> result.
>
> On the trace test, that result would seem anomalous, and
> indicative of a small-sample problem. If there's "enough evidence"
> to reject c=1 (with an alternative of c=2), then concluding that
> c=0 is problematic.
>
>> As you know, sometimes the results can be contradictory so that c=0
>> and c=1 are rejected (or not rejected) simultaneously.
>
> That doesn't seem contradictory: if both c=0 and c=1 are rejected,
> that favors the hypothesis that both series are stationary. If
> neither c=0 nor c=1 is rejected that suggests they're both
> non-stationary, and not cointegrated.
>
> Allin Cottrell
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