On Thu, 21 Dec 2006, I wrote:
First, the results you reported earlier:
Rank Eigenvalue trace p-value l-max p-value
0 0.11637 13.736 0.3151 11.01 0.2600
1 0.030163 2.726 0.6392 2.73 0.6380
Second, the guide from the gretl manual, adapted to the case of
just 2 variables:
Rank Trace test Lmax test
H0 H1 H0 H1
---------------------------------------
0 c = 0 c = 2 c = 0 c = 1
1 c = 1 c = 2 c = 1 c = 2
So, using alpha = 0.05 (or alpha = 0.10 for that matter):
Trace test:
H0: c = 0: p-value 0.3151, fail to reject (so stop here)
I'll add one more point here (sorry if I'm trying the patience of
some; I know this not in any way gretl-specific).
These are asymptotic tests, and in large samples you'd expect to
the see the p-values increasing monotonically as you read down the
"Trace test" column in the results. (Loosely, you should have a
better chance of rejecting c = 0 using an alternative of c = 1
than using an alternative of c = 2, and so on.)
However, in some small samples this can be inverted. If I
remember right, I've seen cases where it would seem that you'd
reject c = 0 against an alternative of c = 2, at some standard
significance level, but not against c = 1. If you see that sort
of thing, it really means that you need more data.
Allin.