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Deviation

Standard Deviation Measurement ToolIf you like the script please come back and leave me a comment or find me on the interwebs. I get notified you "liked" it... but I have no idea if you actually use it. So, let me know =) The script uses the open price as the mean and calculates the standard deviation from the open price on a per candle basis - Goal: - To establish a mean based on the Open Price and calculate the standard deviation. The reason for this is if the Open is the mean, then the Standard deviation implies a standardized distance a given candle can be expected to travel from the open price - Edge: - If you know that there is a 68%/95%/99.7% probability that price will NOT move more than One Standard Deviation/Two Standard Deviations/Three Standard Deviations from the open price respectively you can set reasonable price targets that relate to those probabilities in a given timeframe. e.g. if you're on a 1h chart and your target is 3.5% from the open price, but 1 standard deviation of the hourly candle is equal to 0.78%. You can make assumptions on either: - The reasonableness of your target or - The holding period likely required for the trade. Also, Standard Deviation is a function of volatility and this tool provides a unique mechanism for measuring volatility as well on a candle by candle basis - Customization Options- - Set 3 independent upper and lower standard deviations. - Each set of standard deviations are on a switch so you can show 1, 2, or 3 sets of standard deviations - You can set the distribution width - Though it's not recommended, you can change the mean source. - There is a switch to show the standard deviation on only the real-time bar or real-time and historical bars. - How I Think About This Script - This strategy is predicated the same principle as Bollinger Bands: the reality that 68% of all data points will fall within one standard deviation of the mean, 96% of all data points will fall within two standard deviations, and 98% of al data points will fall within 3 standard deviations. By understanding the standard deviation, you can possibly infer an edge by understanding the probabilistic range price will be bound to the limits of standard deviation rules according to their probabilistic outcomes for the single candle on any given timeframe. Bollinger Bands are designed to provide this information with the mean being a 20-period moving average and this indicator. This indicator is designed to provide standard deviation information with the mean being based on the distance price travels away from the open of individual candles in the lookback period. If you use a strategy where you enter on major candle closes, this can be useful to set targets for those entries based on the intended hold period or at least add/remove validity to other target metrics. Example: Your target is at the 1.618 Fibonacci level and your confirmation triggers on the 4h candle close (H4 if that's your thing lol). You set up the indicator based on the standard deviation of price movement in 4h candles over the last week. Let's say the indicator shows that the 1.618 Fibonacci level is 3 standard deviations away. This being the case this statistically indicates that within the next 4 hours, you have a very low probability of achieving your target (>2%). This doesn't invalidate your target, but it does indicate a low probability of achieving it in the next 4hrs. With this information, you can infer that you are either going to be (a) really lucky (b) in this trade for a lot longer than 4hrs or (c) your target is unrealistic given your intended hold period. You can develop a more probabilistically favorable hold period calculation by looking at the standard deviation on a higher time frame (e.g. 1d-1w). Bonus feature: You'll find that the 2 and 3 standard deviations will often "cluster" and these clusters often provide future S/R levels. That's a pretty sweet feature no one things to look for. But, try it. Find a cluster of 2nd and 3rd stdevs that are in somewhat of a horizontal pattern (usually the result of a range) and you'll find that to be a good s/r area. Even better if you use the 3.2 standard deviation, you'll find that is a fantastic breakout signal! Summary So, you can use it for target setting, a confluence test, a reasonableness test, or just a measurement tool. This was the first TV script I ever wrong.. Got taken down. But, I've re-released it because there are other TV scripts that attempt to do this but are completely wrong. Please be careful about using other people's scripts. Always validate the math of the script before you use it if possible. Stay safe out there and I hope all your dreams come true.
Pine Script® indicator
by kurtsmock
45
Mean Deviation IndexThe Mean Deviation Index (MDX) is used to see how much price is deviating from the mean. This indicator takes both volatility and mean deviation in consideration. It uses the standard deviation of the ATR to filter an EMA, and uses this as the mean. It then only plots > or < 0 if price is more than one x ATR away from the mean. If index is positive, the background turns green, meaning price is more than 1 x ATR above the mean. If the index is negative, the background turns red, meaning price is more than 1 x ATR below the mean. This setting can be changed by changing the setting "ATR Multiplier", but the default is 1 x ATR. There are two main ways to use this index. 1. Use it aggressively to find trends (by combining it with other indicators) by entereding each time the background changes color to green for longs or red for shorts. 2. Use it spot breakouts, waiting for a pullback, and then entering on the next move in the same direction. In this context for a short, you wait for the background color to turn green, then wait for the index to pull back, and then enter once it starts moving up again.
Pine Script® indicator
by lejmer
17
Exponential Deviation Bands [ChuckBanger]This is Exponential Deviation Bands. It is a price band indicator based on exponential deviation rather than the more traditional standard deviation, as you find in the well-known Bollinger Bands calculation. As compared to standard deviation bands, exponential deviation bands apply more weight to recent data and generate fewer breakouts. There fore it is a much better tool to identifying trends. One strategy on the daily can be Buy next bar if closing price crosses below the lower bands Sell if price is equal to the current value of the upper bands
Pine Script® indicator
by ChuckBanger
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
Volume (Incremental) Weighted VOLATILITY BANDSDISCLAIMER: 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 following indicator was made for NON LUCRATIVE ACTIVITIES and must remain as is following TradingView's regulations. Use of indicator and their code are published by Invitation Only for work and knowledge sharing. All access granted over it, their use, copy or re-use should mention authorship(s) and origin(s). WARNING NOTICE! THE INCLUDED FUNCTION MUST BE CONSIDERED AS TESTING. The models included in the indicator have been taken from openly sources on the web, problems could occur at diverse data sceneries. WHAT'S THIS...? Work derived by previous own research for study: The given indicator is another VWAP analysis tool that contains openly procedures for rolling out time sessions as in other TradingView scripts . Some novelties are introduced in this version: INCREMENTAL WEIGHTED STANDARD DEVIATION BANDS: The calculation on this script are strictly based in regard of University of Cambridge Computing Service, February 2009 paper by Tony Finch publicly found at people.ds.cam.ac.uk . From the Abstract, he explain how to derive formulae for numerically stable calculation of the mean and standard deviation, which are also suitable for incremental on-line calculation. Then he generalize these formulae to weighted means and standard deviations. He unpick the difficulties that arise when generalizing further to normalized weights. Finally he shown that the exponentially weighted moving average is a special case of the incremental normalized weighted mean formula, and derive a formula for the exponentially weighted moving standard deviation. VOLUME WEIGHTED VOLATILITY ADAPTIVE MOVING AVERAGE & BANDS: Taking the INCREMENTAL WEIGHTED STANDARD DEVIATION already described and taking a specified anchor or Rolling procedure for a VWAP, I derive the variance against the price to use it as VOLATILITY PROXY for a normalization lambda to plot a First Order Impulse Response Filter or Adaptive Average . This idea have it's roots derived from Chaiyuth Padungsaksawasdi & Robert T. Daigler paper entitled "Volume weighted volatility: empirical evidence for a new realised volatility measure". NOTES: This version DO NOT INCLUDE ALERTS. This version DO NOT INCLUDE STRATEGY: Feedback are welcome. DERIVED WORK: Incremental calculation of weighted mean and variance by Tony Finch (fanf2@cam.ac.uk) (dot@dotat.at), 2009. Volume weighted volatility: empirical evidence for a new realised volatility measure by Chaiyuth Padungsaksawasdi & Robert T. Daigler, 2018. Multi-Timeframe VWAP by TradingView user @mortdiggidi CHEERS! @XeL_Arjona 2019.
Pine Script® indicator
by xel_arjona
1
Commodity Channel IndexI was checking the formula of built-in " cci " function and decided to publish a more customizable version of the Commodity Channel Index, so you can play with levels and a bunch of different sources. If someone doesn't know what is this: This indicator was originally developed by Donald R. Lambert ( "Commodities" magazine, 1980) to identify cyclical or seasonal price patterns in commodities. Now it is applied not only to commodities but to market indices, stocks and Forex. Good luck!
Pine Script® indicator
by everget
5
[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