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.sieverd...@...> 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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