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Re: [amibroker] New portfolio testing numbers



PureBytes Links

Trading Reference Links

Yuki,

You may also see this link:
http://www.tufts.edu/~gdallal/slr.htm

or any other that you may get if you go to www.google.com
and search for "linear regression standard error"

Best regards,
Tomasz Janeczko
amibroker.com
----- Original Message ----- 
From: "Tomasz Janeczko" <amibroker@xxxxxx>
To: <amibroker@xxxxxxxxxxxxxxx>
Sent: Sunday, October 05, 2003 12:23 PM
Subject: Re: [amibroker] New portfolio testing numbers


> Hello,
> 
> Shortly on Standard Error figure:
> standard error is a part of linear regression analysis.
> For simple description see this:
> http://www.numericalmathematics.com/least_squares.htm
> 
> Standard error of equity describes how much equity line
> fluctuates around linear regression of it.
> 
> Note that standard error grows with your initial capital.
> If the same system is tested usgin 10x more initial capital
> then standard error will grow also 10x (assuming % commissions).
> 
> So you get high figures because your starting capital expressed
> in YEN is high. You may prefer to divide standard error by starting capital
> to get some more resonable values and to be able to compare
> figures when you are using different initial capital.
> 
> Best regards,
> Tomasz Janeczko
> amibroker.com
> ----- Original Message ----- 
> From: "Yuki Taga" <yukitaga@xxxxxxxxxxxxx>
> To: <amibroker@xxxxxxxxxxxxxxx>
> Sent: Sunday, October 05, 2003 8:54 AM
> Subject: [amibroker] New portfolio testing numbers
> 
> 
> > Here are of some of the new numbers that this new portfolio testing
> > is throwing my way.  I do have a very rudimentary knowledge (stress
> > on 'very') about some of these numbers, but certainly not a fraction
> > as deep as some of you guys on this list.  Mainly, until this past
> > year or so, I have been primarily a discretionary trader, one who has
> > recently been looking seriously for a system, something that would
> > attempt to trade systematically in a close approximation of what I
> > have usually tried to do on a discretionary basis.
> > 
> > The data for this test goes back to 1/1/99, so it covers some strong
> > bull, bear, and chop periods in Tokyo.  To me, the performance looks
> > pretty darn good. The max. system DD is less than I expected (less
> > than the number given by the old back tester, which means I'm getting
> > some benefit from diversification), and easily tolerable. I'd sure
> > like opinions on this, particularly on some of the numbers like UI
> > and UPI and K-Ratio and Standard Error.  Recovery factor, for
> > example, is something I think I might have a decent idea about, but I
> > have never come across the actual statistical explanation.
> > 
> > So who would be inclined to use a system producing these numbers?
> > Who would not? And why or why not, based on the performance numbers
> > and about 5 years of data? Winners are 65.1 percent, long profit is
> > about 52 percent of total versus about 48 percent for short profit.
> > Clearly the long side is the better side over the test period, but
> > the short side appears to me to be too good to ignore. (Long trade
> > winners are about 36 percent of all trades, and short trade winners
> > about 29 percent.) Testing this over 5 one-year periods shows very
> > little variation in the numbers below, so I think they are
> > representative of what I might expect.  But I really don't know the
> > best way to determine that.
> > 
> > The size of the Standard Error numbers startles me.  I know standard
> > deviation a bit, but not standard error, nor what it is actually
> > telling me here.
> > 
> > Recovery Factor          16.42    12.68      4.57
> > CAR/MaxDD                3.15     2.73       0.77
> > RAR/MaxDD                24.59    35.94      8.43
> > Profit Factor            2.41     3.08       1.94
> > Payoff Ratio             1.29     1.36       1.27
> > Standard Error           3112548.91          1569285.92     2911269.84
> > Risk-Reward Ratio        4.62     5.29       2.09
> > Ulcer Index              2.36     1.89       5.30
> > UlcerPerformance Index   11.04    9.10       2.02
> > Sharpe Ratio of trades   3.57     4.74       2.60
> > K-Ratio                  6.34     7.25       2.87
> > 
> > Yuki
> > 
> > 
> > 
> > 
> > Send BUG REPORTS to bugs@xxxxxxxxxxxxx
> > Send SUGGESTIONS to suggest@xxxxxxxxxxxxx
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> > 
> > Your use of Yahoo! Groups is subject to http://docs.yahoo.com/info/terms/ 
> > 
> > 
> > 
> 
> 
> Send BUG REPORTS to bugs@xxxxxxxxxxxxx
> Send SUGGESTIONS to suggest@xxxxxxxxxxxxx
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> 
> 

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