Ton,

You said "If you can help me to get things done in an objective way then I will 
be delighted to know how you want to do that"

What I was suggesting was:

1. Identify what measure you will use to judge the IS/OOS period sizes (i.e. in 
my case I used consistency of CAR).

2. Run walk forward with IS ranging from 1 year to 3 years and OOS ranging from 
1/8 to 1/3 of the IS period.

3. Calculate summary statistics for each IS/OOS combination for the measure 
that you decided upon in step 1 (i.e. in my case I calculated the average CAR 
and the standard deviation of CAR from the OOS samples). It may help to plot a 
distribution to visualize the data.

4. Observe whether one IS/OOS combination stands out as having the most 
normally distributed values.

Naturally, there is a limit to how many IS/OOS combinations we can try before 
we have curve fit our results. This is where I find Pardo's ratios to be 
helpful. By keeping within the suggested range, we are leaving untested many 
alternative combinations.

Mike

--- In [email protected], "Mike" <sfclimb...@...> wrote:
>
> Ton,
> 
> 1. Pardo disagrees with Aronson (and Bandy). Pardo suggests that a OOS to IS 
> ration of 25% - 35% is best, but that a good rule of thumb for empirical 
> testing is 1/8 to 1/3. 
> 
> 2. Yes, I suspect that each strategy will have its own best values for IS/OOS 
> and that other values will appear as useless. It is up to us to try and find 
> the best values.
> 
> With respect to your comment: "I am getting results that show a random 
> pattern", my question remains; What are you measuring? In other words, what 
> values appear random - your fitness value? CAR? Something else?
> 
> 3. I have done very much as you ask, except that I also varied my IS period. 
> I mostly kept my ratios within Pardo's suggested 1/8 to 1/3, but went as low 
> as 1/12 and as high as 1/2 just to be sure.
> 
> For example IS=1 year, IS=2 years, IS=3 years giving
> 
> IS1yr+OOS6mth, IS1yr+OOS3mth, IS1yr+OOS1mth
> IS2yr+OOS12mth, IS2yr+OOS6mth, IS2yr+OOS3mth
> IS3yr+OOS18mth, IS3yr+OOS12mth, IS3yr+OOS6mth
> 
> IS2yr+OOS6mth produced the most consistent CAR, even though a weighted UPI 
> was used as the fitness function for the actual walk forward.
> 
> I do not have a strong opinion as to whether or not there really is a 
> relationship between IS and OOS sizes. I found that Pardo's rule of thumb was 
> as good a starting place as any. I was happy that my values (25%) coincided 
> with what he advised. But, had my studies suggested a ratio outside of 
> Pardo's range, I would have still gone with what my results suggested, 
> despite Pardo's advice.
> 
> Mike
> 
> --- In [email protected], "Ton Sieverding" <ton.sieverding@> wrote:
> >
> > Hi Mike,
> > 
> > What I am saying is :
> > 
> > 1. That according to David Aronson "There is no theory that suggests what 
> > fraction of the data should be assigned to training ( IS ) and testing ( 
> > OOS )." and that "Results can be very sensitive to these choices ... ". I 
> > assume that he knows where he is talking about ...
> > 
> > 2. That when I am doing WalkFoward tests following the advice of Howard 
> > Bandy, Robert Pardo AND Van Tharp, I am getting results that show a random 
> > patron when changing the OOS en IS periods. So my conclusion is that 
> > WalkFoward is a subjective test ...
> > 
> > Therefore I have serious problems using WalkFoward tests. If you can help 
> > me to get things done in an objective way then I will be delighted to know 
> > how you want to do that. But for sure Van Tharp did not help me ...
> > 
> > Please do a simple WF test with OOS=1year and IS=1month...12months. So 
> > creating WF results for OOS1y+IS1m, OOS1y+IS2m etc. And see what you are 
> > getting. This is purely random. The result says nothing to me ...
> > 
> > Regards, Ton.
> > 
> > 
> > 
> >   ----- Original Message ----- 
> >   From: Mike 
> >   To: [email protected] 
> >   Sent: Monday, October 05, 2009 9:29 AM
> >   Subject: [amibroker] Re: Is the Walk forward study useful?
> > 
> > 
> >     Ton,
> > 
> >   Are you saying that you have not found an IS/OOS pair that works well? 
> > What measure are you using to judge "stability" of the walk forward process 
> > (i.e. what measure are you using to judge the process as random)?
> > 
> >   After testing with multiple IS periods, and with multiple OOS periods, I 
> > was able to identify "fixed" window lengths that proved more consistent 
> > than the others tested.
> > 
> >   I reached this conclusion by charting a distribution curve of CAR for the 
> > OOS results. My fitness function is currently based on UPI, and thus my 
> > walk forward is driven by that value. However, ultimately my interest is in 
> > how consistent CAR would be which is why I used that for evaluating the 
> > goodness of fit for the IS/OOS period lengths.
> > 
> >   In my case, over a 13 year period, a 2 year IS and 6 month OOS (for a 
> > total of 26 OOS data points) produced the most normal looking distribution 
> > of CAR results (i.e. central peak, smallest standard deviation). Excluding 
> > the results from all of 1999 and the first half of 2000 (during which 
> > results were abnormally strong), the distribution curve looks even better.
> > 
> >   Also, have you tried working with different fitness functions? Perhaps 
> > your fitness function doesn't adequately identify the "signal" and thus 
> > misguides the walk forward, regardless of IS/OOS window lengths.
> > 
> >   I am in the process of running a new walk forward over the last 7.5 years 
> > using Van Tharp's System Quality Number (SQN) as my fitness function. I 
> > have kept the same 2 year IS/6 months OOS for a total of 15 OOS data 
> > points. My system strives to generate a minimum average of 2 trades per 
> > day, so each IS period generally has 1000 or more trades from which to 
> > calculate the fitness.
> > 
> >   It has not run to completion yet. But, for the periods that have produced 
> > results, the results look promising (at least with respect to the SQN of 
> > the OOS relative to the SQN of the IS, I have not yet created the 
> > distribution of CAR for OOS).
> > 
> >   Assuming that the remainder of the results are equally strong, I will 
> > walk forward further back in history to get the full 26 data points to 
> > compare against the results produced using my UPI fitness. If the CAR 
> > distribution is more normal using SQN as fitness, then I will officially 
> > start using SQN for generating optimal values for my next live OOS.
> > 
> >   If you are willing to share, I would be curious to hear if SQN as a 
> > fitness function was able to produce a more stable walk forward for you, 
> > and what measure you are using to judge "stable".
> > 
> >   Mike
> > 
> >   --- In [email protected], "Ton Sieverding" <ton.sieverding@> 
> > wrote:
> >   >
> >   > Hi Howard,
> >   > 
> >   > I still am struggling with the following sentence from David Aronson : 
> > "The decision about how to apportion the data between the IS and OOS 
> > subsets is arbitrary. There is no theory that suggests what fraction of the 
> > data should be assigned to training ( IS ) and testing ( OOS ). Results can 
> > be very sensitive to these choices ... ". Because this is exactly what I am 
> > seeing. WalkFoward results are more then sensitive to the IS/OOS relation 
> > and in many cases a pure random story. I am getting more and more the 
> > feeling that WalkForward is not the correct or better objective way to test 
> > trading systems. With all respect to Robert Pardo's idea's about this topic 
> > and what you are writing in QTS ...
> >   > 
> >   > Regards, Ton.
> >   > 
> >   > 
> >   > ----- Original Message ----- 
> >   > From: Howard B 
> >   > To: [email protected] 
> >   > Sent: Monday, October 05, 2009 12:48 AM
> >   > Subject: Re: [amibroker] Re: Is the Walk forward study useful?
> >   > 
> >   > 
> >   > Greetings all --
> >   > 
> >   > My point of view on the length of the in-sample and out-of-sample may 
> > be a little different.
> >   > 
> >   > The logic of the code has been designed to recognize some pattern or 
> > characteristic of the data. The length of the in-sample period is however 
> > long it takes to keep the model (the logic) in synchronization with the 
> > data. There is no one answer to what that length is. When the pattern 
> > changes, the model fits it less well. When the pattern changes 
> > significantly, the model must be re-synchronized. The only person who can 
> > say whether the length is correct or should be longer or shorter is the 
> > person running the tests.
> >   > 
> >   > The length of the out-of-sample period is however long the model and 
> > the data remain in sync. That must be some length of time beyond the 
> > in-sample period in order to make profitable trades. It could be a long 
> > time, in which case there is no need to modify the model at all during that 
> > period. There is no general relationship between the length of the 
> > in-sample period and the length of the out-of-sample period -- none. There 
> > is no general relationship between the performance in-sample and the 
> > performance out-of-sample. The greater the difference between the two, the 
> > better the system has been fit to the data over the in-sample period. But 
> > that does not necessarily mean that the out-of-sample results are less 
> > meaningful.
> >   > 
> >   > You can perform some experiments to see what the best in-sample length 
> > is. And then to see what the typical out-of-sample length is. Knowing these 
> > two, set up a walk forward run using those lengths. After the run is over, 
> > ignore the in-sample results. They have no value in estimating the future 
> > performance of the system. It is the out-of-sample results that can give 
> > you some idea of how the system might act when traded with real money. 
> >   > 
> >   > It is nice to have a lot of closed traded in the out-of-sample period, 
> > but you can run statistics on as few as 5 or 6. Having fewer trades means 
> > that it will be more difficult to achieve statistical significance. The 
> > number 30 is not magic -- it is just conventional. 
> >   > 
> >   > I think it helps to distinguish between the in-sample and out-of-sample 
> > periods this way -- in-sample is seeing how well the model can be made to 
> > fit the older data, out-of-sample is seeing how well it might fit future 
> > data.
> >   > 
> >   > Ignore the television ads where person after person exclaims 
> > "backtesting!" as though that is the key to system development. It is not. 
> > Backtesting by itself, without going on to walk forward testing, will give 
> > the trading system developer the impression that the system is good. 
> > In-sample results are always good. We do not stop fooling with the system 
> > until they are good. But in-sample results have no value in predicting 
> > future performance -- none. 
> >   > 
> >   > There are some general characteristics of trading systems that make 
> > them easier to validate. Those begin with having a positive expectancy -- 
> > no system can be profitable in the long term unless it has a positive 
> > expectancy. Then going on to include trade frequently, hold a short time, 
> > minimize losses. Of course, there have been profitable systems that trade 
> > infrequently, hold a long time, and suffer deep drawdowns. It is much 
> > harder to show that those were profitable because they were good rather 
> > than lucky.
> >   > 
> >   > There is more information about in-sample, out-of-sample, walk forward 
> > testing, statistical validation, objective functions, and so forth in my 
> > book, "Quantitative Trading Systems."
> >   > http://www.quantitativetradingsystems.com/ 
> >   > 
> >   > Thanks for listening,
> >   > Howard
> >   > 
> >   > 
> >   > 
> >   > On Sun, Oct 4, 2009 at 10:56 AM, Bisto <bistoman73@> wrote:
> >   > 
> >   > 
> >   > Yes, I believe that you should increase the IS period
> >   > 
> >   > as general rule is not true "the shortest the best" trying to catch 
> > every market change because it's possible that a too short IS period 
> > produces a too low number of trades with no statistical robustness --> you 
> > will find parameters that are more likely candidated to fail in OS
> >   > 
> >   > try a longer IS period and let's see what will happen
> >   > 
> >   > I read an interesting book on this issue: "The evaluation and 
> > optimization of trading strategies" by Pardo. Maybe he repeated too much 
> > times the same concepts nevertheless I liked it
> >   > 
> >   > if anyone could suggest a better book about this issue it would be very 
> > appreciated
> >   > 
> >   > 
> >   > 
> >   > Bisto
> >   > 
> >   > --- In [email protected], "Gonzaga" <gonzagags@> wrote:
> >   > >
> >   > > Oh, sorry, I am lost in translation ... ;-)
> >   > > Yes I meant trades of my IS period.
> >   > > I've got about 70 trades in my IS period, three months.
> >   > > BUT, I buy stocks in a multiposition way.This means, that my hole 
> > capital divides among several stocks purchased simultaneously.
> >   > > So, in my statistics, I use to average my trades. When I use 
> > maxopenpositions=7, I use to average my results every 7 trades.
> >   > > Considering that, my trades in three months are not 70, but less ( 
> > not exactly 70/7, but less than 70)
> >   > > 
> >   > > If I use maxopenposition=1, which is, invest all my capital every 
> > trade, in three months I would have about 29 trades.
> >   > > So I suppose I have to increase the IS period.. isn`t it?
> >   > > 
> >   > > 
> >   > > --- In [email protected], "Bisto" <bistoman73@> wrote:
> >   > > >
> >   > > > What do you mean with "I don't have many buyings and sellings"?
> >   > > > 
> >   > > > If you have less than 30 trades in an IS period, IMHO, you are 
> > using a too short period due to not statistical robustness --> WFA is 
> > misleading, try a longer IS period
> >   > > > 
> >   > > > Bisto
> >   > > > 
> >   > > > --- In [email protected], "Gonzaga" <gonzagags@> wrote:
> >   > > > >
> >   > > > > Thanks for the answers
> >   > > > > To Keith McCombs :
> >   > > > > 
> >   > > > > I use 3 months IS test and 1 month step, this is, 1 month OS 
> > test. My system is an end-of day-system, so I don't have many buyings and 
> > sellings.. 
> >   > > > > Perhaps I should make bigger the IS period?
> >   > > > > 
> >   > > > > anyway, my parameter behaves well in any period. Of course it is 
> > an optimized variable, but it doesn't fail in ten years, in none of those 
> > ten years, over 500 stocks.. a very long period..
> >   > > > > So, couldn't it be better, on the long run, than the parameters 
> > optimized with the WF study?
> >   > > > > (In fact, I am using it now, the optimized variable)
> >   > > > > That's my real question..
> >   > > > > 
> >   > > > > To dloyer123:
> >   > > > > I haven't understood the meaning of the Walk Forward Efficency, 
> > and seems interesting.
> >   > > > > can you explain it better, please..?
> >   > > > > 
> >   > > > > 
> >   > > > > 
> >   > > > > --- In [email protected], "dloyer123" <dloyer123@> wrote:
> >   > > > > >
> >   > > > > > I have had similar experiences. I like to use WFT to estimate 
> > what Pardo call's his "Walk Forward Efficency", or the ratio of the out of 
> > sample WF profits to just optimizing over the entire time period. 
> >   > > > > > 
> >   > > > > > A good system should have as high a WFE as posible. Systems 
> > with a poor WFE tend to do poorly in live trading.
> >   > > > > > 
> >   > > > > > If you have a parm set that works well over a long period of 
> > live trading, then you are doing well!
> >   > > > > >
> >   > > > >
> >   > > >
> >   > >
> >   >
> >
>


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