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[EquisMetaStock Group] Re: Hotelling Transform



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Thanks for the reply. You bring up very good points.
Thanks again.
Kev


--- In equismetastock@xxxxxxxxxxxxxxx, mgf_za_1999 <no_reply@xxxx> 
wrote:
> All of these relate to multiple dimensions.  You typically have a
> sample, say of gender vs age vs weight, and use this analysis to 
see
> if there is some relationship between the lot.  This is what I am
> after.  What are the dimensions you are working with.  Is it RSI 
vs MA
> vs Close vs Volume?  The image referred to in your other post has
> three dimensions at least - x, y and pixel color and makes a lot of
> sense to use.  If you are looking at historical closes, then you do
> not need Hotelling, just standardize it using
> 
>     z = [ x - mu ] / sigma
> 
> in MSFL, something like
> 
>     X = C / Ref(C,-1) - 1;
>     Z = ( X - Mov( X, 50, S ) / StdDev( X, 50 )
> 
> may do the trick, although this is OTC (off-the-cuff) and I am
> especially not sure that the StdDev function is correct.  You get 
what
> you pay for I guess, as super would say, I also guess....
> 
> Regards
> MG Ferreira
> TsaTsa EOD Programmer and trading model builder
> http://www.ferra4models.com
> http://fun.ferra4models.com 
> 
> 
> 
> --- In equismetastock@xxxxxxxxxxxxxxx, "formulaprimer"
> <formulaprimer@xxxx> wrote:
> > Also what about the following possiblity
> > Variance-Stabilizing Transformations of the Correlation 
Coefficient
> > Description
> > z.transform implements Fisher's (1921) first-order and 
Hotelling's 
> > (1953) second-order transformations to stabilize the 
distribution of 
> > the correlation coefficient. After the transformation the data 
> > follows approximately a normal distribution with constant 
variance 
> > (i.e. independent of the mean). 
> > 
> > Hotelling's transformation requires the specification of the 
degree 
> > of freedom kappa of the underlying distribution. This depends on 
the 
> > sample size n used to compute the sample correlation and whether 
> > simple ot partial correlation coefficients are considered. If 
there 
> > are p variables, with p-2 variables eliminated, the degree of 
> > freedom is kappa=n-p+1. 
> > 
> > 
> > --- In equismetastock@xxxxxxxxxxxxxxx, mgf_za_1999 
<no_reply@xxxx> 
> > wrote:
> > > Sorry, I am mixing up two things here, the Hotelling transform 
and 
> > the
> > > Hotelling T2 statistic.  Both are inherently multidimensional, 
> > which
> > > is why I am asking the context.  I think the Hotelling 
transform
> > > entails calculating the eigenvalues - there is this neat way 
of 
> > doing
> > > that.  You just keep on raising whatever matrix you are 
working 
> > with
> > > to higher powers and the eigenvalues sort of fall out.  It is 
> > called
> > > the power technique if I remember correctly.  I don't think it 
is
> > > doable in MS, since, being multidimensional, you need to work 
with
> > > matrices and so on.  But again, give the context and maybe I 
can 
> > help
> > > a bit.
> > > 
> > > Regards
> > > MG Ferreira
> > > TsaTsa EOD Programmer and trading model builder
> > > http://www.ferra4models.com
> > > http://fun.ferra4models.com 
> > > 
> > > --- In equismetastock@xxxxxxxxxxxxxxx, mgf_za_1999 
<no_reply@xxxx> 
> > wrote:
> > > > Could you give the context of the Hotelling transform?  I've 
> > never
> > > > seen the Hotelling T2 statistic used in technical analysis.  
I 
> > could
> > > > assist maybe, if I understand how it is used.  The Hotelling 
T2 
> > stat,
> > > > if this is what you refer to, is usually used in 
multivariate 
> > analysis
> > > > but there is a much simpler formula that works in one 
dimension.
> > > > 
> > > > Regards
> > > > MG Ferreira
> > > > TsaTsa EOD Programmer and trading model builder
> > > > http://www.ferra4models.com
> > > > http://fun.ferra4models.com 
> > > > 
> > > > 
> > > > --- In equismetastock@xxxxxxxxxxxxxxx, "formulaprimer"
> > > > <formulaprimer@xxxx> wrote:
> > > > > Does anyone have a code for Hotelling Transformfor small 
> > sample sizes 
> > > > > (e.g,: short period lengths  say n<25)
> > > > > 
> > > > > Please do not refer to a pay site for indicators. I am in 
a 
> > forum
> > > like 
> > > > > this to get free source codes.






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