On Sat, 16 Jan 2016, Riccardo (Jack) Lucchetti wrote:

> On Sat, 16 Jan 2016, Sven Schreiber wrote:
>
>> Am 15.01.2016 um 20:39 schrieb Allin Cottrell:
>>> Following up Jack's comment at
>>> 
>>> http://lists.wfu.edu/pipermail/gretl-devel/2016-January/006467.html
>>> 
>>> in current git there's a basic "preview" of Julia support in gretl.
>> 
>> exciting!
>> 
>> 
>>> # NIST's certified coefficient values
>>> matrix nist_b = {-3482258.63459582, 15.0618722713733,
>>>     -0.358191792925910E-01, -2.02022980381683,
>>>     -1.03322686717359, -0.511041056535807E-01,
>>>      1829.15146461355}'
>>> 
>> 
>> Since I don't have it installed yet, could you comment on whether the
>> results match (between gretl/Julia/NIST)?
>
> These are the results I get
>
> <output>
> Log-relative errors, Longley coefficients:
>
>       gretl       julia
>      12.228      8.0224
>      10.920      7.5300
>      11.797      7.5697
>      12.528      8.1421
>      13.169      8.3801
>      11.770      7.2368
>      12.235      8.0333
>
> Column means
>      12.092      7.8449
>
> </output>
>
> So it would seem that the MultivariateStats julia module leaves a 
> bit to be desired for the moment, at lest in terms of precision.

My test was admittedly kinda silly, in that there's not really any 
reason to delegate to a "foreign" program stuff that gretl handles 
well natively. One would be more likely to get Julia to do MCMC or 
the like.

That said, among the various "foreign" programs on which I've tried 
the notorious Longley exercise, only numpy comes close to gretl for 
numerical precision. However, Anders makes a fair point in saying 
that the statistical error (and I would add, data error) swamps the 
numerical error for this sort of linear problem.

Allin

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