On Thu, December 21, 2006 15:00, Sven Schreiber wrote:
javier garcia enriquez schrieb:
> r>r0), while others defend the following:
>
> Trace H0: r <= r0 H1: r>r0
> Lambda max H0: r =r0 H1: r>r0
>
As John already answered 2 months ago, the null hypotheses are the same
in principle. And as I answered 2 months ago, whether you posit <=0 or
=0 depends on your interpretation or previous test results. (Actually,
one could also argue that the alternative hypotheses are the same, but
that would probably cause still more confusion...)
>
> Is Gretl use either of them??
>
Gretl's output is very clear about this (it reports both), so where do
your doubts come from?
In my experience, a nice way to put this is to think of the trace and
\lambda_{max} tests as test for zero eigenvalues: the difference is that the
\lambda_{max} test checks if THAT PARTICULAR eigenvalue is 0, while the trace
test checks if all eigenvalues from a certain point on are 0 *jointly*. It's a
bit like a t-test vs an F-test.
Riccardo (Jack) Lucchetti
Dipartimento di Economia
Facoltà di Economia "G. Fuà"
Ancona