Javier García schrieb:
Then how is it that the nule hypothesis r = 0 and r = 1 are both
accepted to the two contrasts? the only consistent hypothesis with the
results is that both nule hypothesis is that the rank (pi) minor or
equal to "r", because the rank can't be 0 and 1 at the same time.
Ok this has nothing to do with gretl anymore, but anyway:
You can interpret each test individually as having <= in the null
hypothesis, no problem. However, to determine the rank (which normally
is what you want), you have to do a sequence of tests. Then, after
rejecting r=0 in a first test, the second test should better be
interpreted to have null hypothesis r=1. It does not make much sense to
postulate H_0: r<=1 for the second test, because you already rejected
r=0, so all that's left is r=1. (Of course, for the calculation of the
test statistics, it doesn't make any difference anyway.)
But, if you have already accepted the hypothesis of r=0 (against r>0),
then why on earth are you testing a rank of 1 against r>1? That is not a
consistent rank determination procedure.
HTH, Sven