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Re: Standard Deviation help.



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Hi Harold 

Thanks for pointing that out.

You are right my calculation of the std was incorrect,
it should be 3.16. The illustration however remain the same,
just substitute 3.16 for 20.

My std is different to Excel's because after testing, I have found
that my trading plan is more effective when using the traditional
formula rather than the one in Excel.

Thanks again, Harold, and my apologies to anyone inconvenienced
by my error.

regards

ray

R Barros
101/25 Market Street
Sydney NSW 2000
Australia

Voice:   61 2 92673470  
Fax:       61 2 92673478
E-Mail:  rbarros@xxxxxxxxxxxxxxxxxx

----------
> From: Harold Gibbs <Haroldg@xxxxxxxxxxx>
> To: ramon <rbarros@xxxxxxxxxxxxxxxxxx>
> Subject: RE: Standard Deviation help.
> Date: Saturday, June 13, 1998 2:42 AM
> 
> 
> Ramon
> I'm afraid your description of Standard deviation is not correct.  The   
> standard deviation of 111, 114, 117, 118, 120 is 3.536, not 20.
> There are several ways of working out standard deviation, I prefer the   
> one used by MS Excel.  If you run excel, check the formula for StDev,   
> which is in the online help.
> Cheers
> Harold
> 
>  ----------
> From:  ramon[SMTP:rbarros@xxxxxxxxxxxxxxxxxx]
> Sent:  Thursday, 11 June 1998 17:25
> To:  realtraders@xxxxxxxxxxxxxx
> Subject:  Re: Standard Deviation help.
> 
> Hi Brent
> 
> 
>  ----------
> > From: BrentinUtahsDixie <brente@xxxxxxxxxxxx>
> > To: RealTraders Discussion Group <realtraders@xxxxxxxxxxxxxx>
> > Subject: Gen: Standard Deviation help.
> > Date: Thursday, June 11, 1998 3:57 PM
> >
> > RT's,
> >
> > I have one of those Statistics 101 questions(which I never took) about
> the
> > use and calculation of Standard Deviation. In my SuperCharts software
> there
> > is a StdDev function, it allows you to input variables for price and
> > length. I have checked out the definition of Standard Deviation and I
> know
> > it's something like the Square Root of the variance. Now I have seen or
> > read many times where the designation for Standard Deviations is a set
> > amount in relationship to something like price such as, 1 Standard
> > Deviation, 2 Standard Deviations, 3 Standard Deviations... what I don't
> get
> > is, is how this set amount is derived. Now if it is just the value of  

> the
> > last calculation(after a series of calculations) extended back in time
> I'd
> > like to know that, otherwise can anyone tell me how it works. Thanks.
> 
> 
> Standard deviation is calculated as follows on a given set of data:
> 
> 1 work out the average  of  the data.
> 
> e.g.  111, 114, 117, 118, 120 has an average of 116
> 
> 2 deduct difference of each reading from the mean
> keeping the +/- sign.
> 
> e.g. on the data above the differences are:
> 
>  -5,-2,1,2,4
> 
> 3 we can't take the mean of the deviations as they will always add
> up to 0. To overcome this problem, square the deviations to get rid of   
> the
> minus sign.
> 
> e.g.
> 
> 25,4,1,4,16
> 
> Now get the mean = 50/5=10; this mean is called the variance.
> 
> 4 so that we  can relate the variance to the same units of the data set,
> we take the square root of the sum of the variance and that's the   
> standard
> deviation.
> 
> e.g.
> 
> in this case sq.rt of sum of variance =20.
> 
> To use this we need to be aware that if the data set is a bell curve,
> then 68% the data set will achieve values of  (mean +1 std). In this   
> case,
> 
> 116 +/- 20= 68%
> 
> mean +2 is achieved 95.0%
> mean +3 is achieved 99.7%.
> 
> How to use in your trading?  Well let's say that in a 1 period monthly
> swing, the USD/DEM has a mean of 2533 points 75 days  with a
> std deviation of 1624. Once a mkt move  achieves
> mean +1 points, we know that the probability of the mkt continuing is 32%
> i.e. 100-68. We thus have an objective measurement of overbought
> rather than an arbitrary figure e.g. 14 days for an oscillator.
> 
> That's a brief and very crude example of the concept's applicability.
> 
> If you are interested in stats, I recommend "Statistics Without Tears" by
> Derek  Rowntree. Because of a misspent youth, I consider myself a
> maths dunce. If Derek can teach me Stats, anyone can! Even better
> the paperback should cost no more than US$10/$12
> 
> regards
> 
> ray
> 
> R Barros
> 101/25 Market Street
> Sydney NSW 2000
> Australia
> 
> Voice:   61 2 92673470
> Fax:       61 2 92673478
> E-Mail:  rbarros@xxxxxxxxxxxxxxxxxx
> 
> 
> 
> 
> 
>