Perhaps one should consider moving to the DF GLS (ERS) adjusted
statistic which has improved properties. The standard way to
implement an automatic lag selection procedure with this procedure
uses a modified AIC or SBC critereon. One can not use the current
method to determine an optimum lag when one is using the DF GLS
statistic. An appropriate reference is Ng and Perron(2001), Lag
length selection and the construction of unit root tests with good
size and power, Econometrica, Vol 69 (6) pp 1519-1554. Would it be
difficult to include the modified criteria as a selection procedure
that would work across all tests? Could one incorporate a default
maximum lag of
(integer part of 12 (T/100)^(1/4) )
as suggested by Schewert(1989) - See Hayashi page 594.
Best Regards
John
2009/2/20 Ignacio Diaz-Emparanza <ignacio.diaz-emparanza(a)ehu.es>:
El Friday 20 February 2009 03:54:50 Allin Cottrell escribió:
> On Wed, 18 Feb 2009, Olle Olsson wrote:
> > I can't find any reference in the manual about this so I'm
> > asking the question here: is anyone aware of literature on how
> > Gretl's automatic lag length selection for the ADF test perform
> > compared to lag selection by the AIC or BIC criteria?
>
> I'm not aware of any literature on that, but it wouldn't be
> difficult to write a gretl script to make the comparison.
> That's "left as an exercise" ;-)
>
> Hint: set up an artificial Data Generating Process with known lag
> length. Run gretl's automatic lag-selection procedure and also a
> scripted lag-selection procedure using $aic, $bic or $hqc. Wrap
> this in a loop with a few thousand interations and calculate
> appropriate statistics -- for example, at the simplest, the
> relative frequencies of cases where the selected lag order is "too
> short", "just right" and "too long", relative to the known
DGP,
> for gretl's automatic version and the alternatives.
>
> I suspect $aic will select an excessive lag order more often than
> the other criteria; other than that, I'm not sure what you'll
> find.
>
> Bonus: if you can show convincingly that an alternative method is
> better than what gretl does currently, we'll change the method.
>
> Allin Cottrell
> _______________________________________________
I remember that in the time when I was using RATS, there was an interesting
procedure "lagselect" which served to decide how to determine the lag.
You can have a look at it in
http://www.estima.com/procs_perl/500/lagselec.src
--
Ignacio Diaz-Emparanza
DEPARTAMENTO DE ECONOMÍA APLICADA III (ECONOMETRÍA Y ESTADÍSTICA)
UPV/EHU
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John C Frain
Trinity College Dublin
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