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Deviation

Standard Deviation - Sum Of The Squares Minus Square Of The SumsIntroduction The standard deviation measure the dispersion of a data set, in short this metric will tell you if your data is on average closer or farther away from the mean. Its one of the most important tools in statistics and living without it is pretty much impossible, without it you can forget about Bollinger-bands, CCI, and even the LSMA (ouch this hurt) . Now i don't want to extend myself about the standard deviation since that would require a huge post but i want to show you how to calculate the standard deviation from the stdev pinescript function. Sum Of The Squares Minus Square Of The Sums Any metric calculated from a moving average can be classified as "running", this mean that the metric constantly update itself and is not constant, this is why it is better to say "running standard deviation" but its okay. If we use the standard calculation for the standard deviation which would be sqrt(sma(pow(close - sma,2))) we might get something totally different from the stdev function : In white the pine stdev function and in red the standard calculation of both period 4, its clear that both are not the same, one might try to use the Bessel's correction but that won't do either, this is because most technical analysis tools will calculate the square root of the "Sum Of The Squares Minus Square Of The Sums" method to estimate the standard deviation Another way is to use : a = sqrt(sma(pow(close,2),length) - pow(sma(close,length),2)) By returning the difference we might still see some errors : Nothing relevant of course. Conclusion Some of you might already be aware of this but a reminder is always good since it can be confusing to make what can be considered the good standard deviation formula and then have something totally different from the pine function, i hope this post will be useful and that you learned something from it. Thanks for reading :)
Pine Script™ indicator
by alexgrover
19
[RESEARCH] Mean Absolute DeviationHello traders and developers! I was wondering how built-in "dev" function in Pine is calculated so I made a little research. I examined 7 samples: 0) "dev" function itself 1) "dev" according to its description: series - sma(series) 2) Mean Absolute Deviation 3) ratio of the absolute difference from 1) divided by period 4) ratio of the difference from 1) divided by period 5) Median Absolute Deviation 6) tricky for-loop to calculate Mean Absolute Deviation The results of the null and sixth samples are identical. So, TV built-in "dev" function represents Mean Absolute Deviation and it's description is incorrect. Where it is used? For example: Commodity Channel Index. You can check its original formula and if you used simple standard deviation instead of MAD in your CCIs - well guys, you were wrong. Good luck!
Pine Script™ indicator
by everget
10
Relative Volatility IndexCorrected Relative Volatility Index. This indicator was originally developed by Donald Dorsey (Stocks & Commodities V.11:6 (253-256): The Relative Volatility Index). The indicator was revised by Dorsey in 1995 (Stocks & Commodities V.13:09 (388-391): Refining the Relative Volatility Index). I suggest the refined RVI with optional settings. If you disabled Wilder's Smoothing and Refined RVI you will get the original version of RVI (1993, as built-in). Also, you can choose an algorithm for calculating Standard Deviation.
Pine Script™ indicator
by everget
10
Moving average deviation rateMoving average deviation rate Simple moving average deviation rate and standard deviation. The bollinger band is momentum value standard devition. Bat the bollinger band is not normal distribution to close price. Moving average deviation rate is normal distribution. This indicator is draw Moving average deviation rate and fill area 2σ standard devition. If it exceeds 2σ, it is a trading opportunity. 移動平均かい離率と、２σのバンドです。 ボリンジャーバンドは移動量の標準偏差を描画しますが、終値はボリンジャーバンドに対して正規分布を描きません。 移動平均かい離率は、標準偏差に対して正規分布を示します。 かい離率２σを超えた場合、トレードチャンスです。
Pine Script™ indicator
by daisuke_gewinn
21
B3 ALMA PendulumB3 Pendulums, quick little indicators that do change print inside the current bar, so beware. It is good for anticipation, but it is important to make sure the current and next bars follow through. Ever wanted an indicator that really points out the micro term action in the form of a pendulum swing? This my attempt to show the market ups and downs in the smallest amount of lag possible. This indicator is designed to bounce back and forth from 100 to -100 as it shows you the price's relationship to ALMA. Really its just a simple deviance from mean study made to amplify the quick ups and downs, and kind of the neatest on Heikin Ashi setups. It looks like Arabic language at first glance, lol. This should be easy to template out to your own MA's. ~I hope you are enjoying the B3 scripts, that is now 9 open source shares and a couple protected ones. I still plan on a few more give-a-ways, as I prepare some of the algorithmic things I do for subscription. Feel free to comment about things you would like to see! ~B3
Pine Script™ indicator
by HammondB3
3
GEOMETRIC STANDARD DEVIATION BANDS v1 by @XeL_ArjonaGEOMETRIC STANDARD DEVIATION BANDS Ver.1 By Ricardo M Arjona @XeL_Arjona DISCLAIMER: The Following indicator/code IS NOT intended to be a formal investment advice or recommendation by the author, nor should be construed as such. Users will be fully responsible by their use regarding their own trading vehicles/assets. The embedded code and ideas within this work are FREELY AND PUBLICLY available on the Web for NON LUCRATIVE ACTIVITIES and must remain as is. WHAT'S THIS? This IS NOT the wheel "Re-Invention"... This is exactly what the name says: A pair of Envelope Bands to measure "volatility", constructed at statistical relation from within price series and their Rolling back MEAN (Simple Moving Average). YES, What Mr. Bollinger did and put it's name to this simple, cleaver and popular formula. This time, I took the time to make another simple mod, but seems to me to be quite functional in REAL VOLATILE assets like in the example chart: TO USE THEIR GEOMETRIC MODE!! Cheers! Any feedback or public modification(s) are quite welcome to the community....! @XeL_Arjona Apr 28 2016
Pine Script™ indicator
by xel_arjona
6
Triple Bollinger BandsI found myself using multiple bollinger bands a lot so I decided to add them all to one script and add the ability to adjust them by 0.2. It has helped me by not taking up as much space in the upper left corner as well as improving my in's and outs of trend continuation trades. If you manage to find a double top at +2 or greater deviation, and with a bearish divergence on the RSI as shown in this picture, GO SHORT SON! This was a fast and easy 35 - 40 pips and if you used your fibonacci for an exit you had little doubt of the final result and could have even been prepared for an immediate reversal knowing you were then at an oversold -2.8 deviation. I could go on and on........
Pine Script™ indicator
by TimeFliesBuy
8
Ergotic MDI (Mean Deviation Indicator) This is one of the techniques described by William Blau in his book "Momentum, Direction and Divergence" (1995). If you like to learn more, we advise you to read this book. His book focuses on three key aspects of trading: momentum, direction and divergence. Blau, who was an electrical engineer before becoming a trader, thoroughly examines the relationship between price and momentum in step-by-step examples. From this grounding, he then looks at the deficiencies in other oscillators and introduces some innovative techniques, including a fresh twist on Stochastics. On directional issues, he analyzes the intricacies of ADX and offers a unique approach to help define trending and non-trending periods.
Pine Script™ indicator
by HPotter