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Thank you very much indeed. I hope you will also enjoy the part II. It will be released on line around Feb 15.

The study is under construction, stay tuned !! DT

These yellow points seem to appear at the end of a downtrend for various indexes.

You may see detailed formulas and codes in http://www.traders.com/Documentation/FEEDbk_docs/Abstracts_new/Tsokakis/tsokakis.html Dimitris Tsokakis

The GOOG H&S chart is i d e a l ! The stock reached the target line and reacted quite gently. We do not often see such accurate chart. [I used zig percentage 1%]

I have added a new, more detailed code in http://www.elitetrader.com/vb/showthread.php?s=&threadid=81457 The code searches for the optimal Zig change n, from n=3% up to n=10% [you may enlarge this range but for n>10 you will have very few Peaks]. For the last 10 years of the ^NDX, the 31% of...

It is interesting to see the Peak-To-Trough ratio for various Zig change values. The following Exploration/Commentary will select the most frequent range and give the long term statistics. //Peak-to-Trough Ratio Statistics, by D. Tsokakis function PTratio(n,Var,m,step) { z=Zig(Var,n)...

The Fib statistics is very poor. You may see http://www.elitetrader.com/vb/showthread.php?s=&threadid=81457 On the other side, no Fib website has ever presented any positive [or, at least attractive] statistics on Fib levels and their application, AFAIK.

The code is elementary and could be easily translated in any T/A software language. You only need Peak/Trough definition and the respected price when a Peak/Trough occurrs. I think these terms are available in any software...

The folowing code will give the statistics for the Fibonacian levels. We use n0=2 and this value will check the levels 0.382, 0.5, 0.618, 1, 1.618, 2.618 The tolerance was 0.05 for any Fibonacci number. For example, any value between 1.537 and 1.698 was considered as 1.618. /*Statistics...

The following code will check the Fibonaccian behavior of a stock/index in the past. // The Fibonaccian behavior, by D. Tsokakis, Nov 2006 n=Param("n",6,3,20,1);// Calibrate the Zig percentage Var1=C; z=Zig(Var1,n); PeakCondition=PeakBars(Var1,n)==0; p1=ValueWhen(PeakCondition,Var1,1)...

The closest approximation of the differential [in some EOD chart] is the ROC indicator, when you decrease the time interval down to 1 bar. It is quite fuzzy and never seen any use. A much better approach is my RELATIVE SLOPE indicator. See http://www.amibroker.com/library/detail.php?id=43 for...

See, among the others, http://www.candlestickchart.com/glossary.html http://www.tofuexp.com/vh/stockbose/ta/candlestick

AAPL example is worse. Not any of the 0.382, 0.500, 0.618, 0.786, 1.000 levels was enough to give a valid reaction. The stock is moving now to the 1.618 level, but, if we want to be serious, even the most fanatic Fib trader would give up, any Fib scenario is catastrophic. Far from attractive...

The recent DELL trend gives a quite clear example: The yellow lines are the recent Support [28.69] and Resistance [33.26]. After the Dec14 peak the downtrend began and the Fib traders were searching for the reaction level. The 0.500 level [red line, point A] was the wrong one, traders who...

The Fib sequence is given by the generic formula fib=(2/(sqrt(5)+1))^n n=integer For n=-5 to n=5 we have, for example, 11.090 6.854 4.236 2.618 1.618 1.000 0.618 0.382 0.236 0.146 This sequence will form a multi-level system, when multiplied by the last High [respectively the...

The problem is that Fibonacci levels form a multi-level system. It is the main reason of the trap. If you expect a reaction at 0.382 of the last High and it does not come, then you expect the 0.500 and then the 0.618. There is no fundamental [or statistical] reason to prefer 0.382 or the...

Well, it would be better to follow the advice of your software vendor.

I have posted in this forum the "last best-fit parabolic" in http://www.elitetrader.com/vb/showthread.php?s=&threadid=37727&highlight=parabolic It may be interesting for your SAR research.

Williams alligator is a mix of 3 delayed averages. The author attempts to introduce the Golden Ratio relations into T/A by using the numbers 3, 5, 8, 13. * Note also that he originally used Wilders MA, not the simple one. A ready-to-use formula is in...