two_leg_spread_returns_zscoreThis script helps assess the relative returns of each leg in a two-legged spread. It shows the z-score of each period's returns, along with a moving average of the difference between the two returns. A negative moving average implies that the second leg is strengthening, on a relative return basis, against the first leg, and vice versa. The inputs are:
- timeframe: the timeframe for the calculations. the default is five minutes.
- leg1_sym: the symbol for the first leg
- leg2_sym: the symbol for the second leg
- ma_length: the length of the moving average. by default it is 48, or the previous four hours, given the default timeframe.
The default symbols are RB and HO, simply as an example of an intercommodity spread.
Zscore
Improved Z-Score OverlayLast month I published an improved z-score script that goes underneath your chart, which helps to highlight overbought or oversold regimes. It is customizable, and allows changing the periods, whether smoothing capability is desired, whether to use simple or exponential moving averages, and which data source to use (open, high, low, close, ohlc4).
Some individuals may find that it is most useful not only to have the z-score visible underneath their price chart, but have the sigma values clearly visible on the chart itself to determine overbought or oversold levels.
Therefore, this improved z-score overlay script will place the centerline of price on the chart, and +3/+2/+1/0/-1/-2/-3 sigma.
These can be disabled if some values do not want to be shown, and the colors / opacity can be changed.
Additionally, you could also put this into a new pane below your chart and disable all of the +3 to -3 sigma values, and enable the "Z-Score" button. This will allow you to replicate the original Improved Z-Score Script.
If anyone has questions or would like to have any improvements made, let me know :)
- Jim Bosse
[Sidders]Std. Deviation from Mean/MA (Z-score)This indicator visualizes in a straight forward way the distance price is away from the mean in absolute standard deviations (Z-score) over a certain lookback period (can be configured). Additionally I've included a moving average of the distance, the MA type can be configured in the settings.
Personally using this indicator for some of my algo mean reversion strategies. Price reaching the extreme treshold (can be configured in settings, standard is 3) could be seen as a point where price will revert to the mean.
I've included alerts for when price crosses into extreme areas, as well as alerts for when crosses back into 'normal' territory again. Both are also plotted on the indicator through background coloring/shapes.
Since I've learned so much from other developers I've decided to open source the code. Let me know if you have any ideas on how to improve, I'll see if I can implement them.
Enjoy!
Candle Colored by Volume Z-score [Morty]This indicator colors the candles according to the z-score of the trading volume. You can easily see the imbalance on the chart. You can use it at any timeframe.
In statistics, the standard score (Z-score) is the number of standard deviations by which the value of a raw score (i.e., an observed value or data point) is above or below the mean value of what is being observed or measured. Raw scores above the mean have positive standard scores, while those below the mean have negative standard scores.
This script uses trading volume as source of z-score by default.
Due to the lack of volume data for some index tickers, you can also choose candle body size as source of z-score.
features:
- custom source of z-score
- volume
- candle body size
- any of above two
- all of above two
- custom threshold of z-score
- custom color chemes
- custom chart type
- alerts
default color schemes:
- green -> excheme bullish imbalance
- blue -> large bullish imbalance
- red -> excheme bearish imbalance
- purple -> large bearish imbalance
- yellow -> low volume bars, indicates "balance", after which volatility usually increases and tends to continue the previous trend
Examples:
* Personally, I use dark theme and changed the candle colors to black/white for down/up.
Volume as Z-score source
Any as Z-score source, more imbalances are showed
Z Score (Close + High and Low bands)Basic z score with High and Low bands.
If z is positive = uptrend.
If z is negative = downtrend.
If z > +3 or z < -3 = reverse is possible.
H lines can act as a support/resistance.
Disclaimer:
Trading success is all about following your trading strategy and the indicators should fit within your trading strategy, and not to be traded upon solely
The script is for informational and educational purposes only. Use of the script does not constitute professional and/or financial advice. You alone have the sole responsibility of evaluating the script output and risks associated with the use of the script. In exchange for using the script, you agree not to hold dgtrd TradingView user liable for any possible claim for damages arising from any decision you make based on use of the script
FX Multi ZScore PlotThis script was created to help me visualize the location of price within all main 7 averages at once (5,10,20,50,100,200,400)
It uses the Z Score function which basically tells you the distance between Price and a certain average in units of Standard Deviation.
If the indicator has a value above 0, it means price is currently trading above such average. If below 0, price is trading below.
By plotting all averages you have a wider view of where price is trading short, medium and long term.
If you have any questions/suggestions feel free to add a comment below
Alpha Trading - Alpha Volatility Zscore - Coder WolvesAlpha Trading Volatility Z-SCORE (AVZ)
Alpha Trading is a community built by traders, for traders. The development of our indicators follows this same premise. We make indicators that make trading more efficient. We are proud to bring you the Alpha Trading Volatility Z-Score (AVZ).
A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score. A Z-score of 1.0 would indicate a value that is one standard deviation from the mean. Z-scores may be positive or negative, with a positive value indicating the score is above the mean and a negative score indicating it is below the mean.
At Alpha Trading, we are always pushing ourselves. We have deployed Z -Score to the Mean of Returns (Rather than Price) in some of our other indicators.
On the AVZ we have applied a Z-Score to the Historic Volatility (HV), as a volatility model for HV we used the sample standard deviation of log returns. We have also added R (Correlation Coefficient) which allows the trader to turn this into a directional indicator. Can be used in a similar way to indicators such as the Alpha Volatility Radar, and the Coefficient of Variation on the Wolfsbane indicator.
Z-Score Plot - On the Z-Score plot we have added color gradient. Color grading is based on, how near/far the Z Score is from the Standard Deviation bands. Regular Z-Score plot is 2 colors, Blue shows the Z-Score, Pink shows when there is a Statistical Outlier on the Z-Score.
R - For the R (Displayed in Columns by default), this shows the the correlation between the asset you are trading and the Z-Score of Historic Volatility. This allows us to use the Alpha Trading Volatility and Correlation Scenarios.
We have added a customizable Deviation band and 3 confidence intervals, 90%, 95%, and 99% as well.
Basic Trade Signals
Volatility and Correlation Scenarios
• AVZ expansion + positive correlation = pump
• AVZ expansion + negative correlation = dump
• AVZ contraction + positive correlation = price moves down
• AVZ contraction + negative correlation = price moves up
• AVZ sideways + positive correlation = price moves down
• AVZ sideways + negative correlation = price moves up
Long - When Z-Score moves to the upside, which shows there is Volatility expansion, and the R is positively correlated.
Short – When Z-Score moves to the upside, which shows there is Volatility expansion, and the R is negatively correlated.
Refer to the above Volatility and Correlation Scenarios for other movements.
1st chart shows AVZ on regular mode without color grading and AVZ in line form. Chart also shows AVZ occurrences and the PA movement associated with it.
2nd chart shown AVZ on color grading mode and AVZ in stepline with diamonds form.
Kolmogorov-Smirnov TestThe Kolmogorov–Smirnov test aims to tell you if the distribution of prices (or log returns) tends to follow a normal distribution or not. You can read about this test on Wikipedia . It seems to be a basic but trusted measure in the quantitative trading world.
When KS-t columns are blue, then it's safe to assume normal distribution. When they are red, the normal distribution assumption is proven wrong by the magnitude of the KS-t value.
In the plotting tab of the script, you can activate another option that displays the probability of the distribution being actually normal. It's values are bounded between 0 and 1, like all probabilities.
This test can be useful when using statistical concepts for trading markets, like standard deviations, z-scores, etc because they all depend on the assumption of prices (or log returns) being normaly distributed.
If you see something wrong, don't hesitate to message me.
Happy trading to all.
FXBABATRADING ~ ZVOL DELTAOur ZVOL DELTA indicator is an outstanding Volume indicator to determine the strength of BUY vs SELLERS Volume in units of Standard Deviation from a set period average, that is, helps you visualize how much BUYERS/SELLERS VOLUME has deviated from the mean. This indicator is part of a bundle of 5 indicators which we call the ZScore Indicator Suite all based on the ZScore function of statistics.
In this particular mode (ZVOL DELTA) you can see whether BUYERS OR SELLERS VOLUME is above or below the mean average of it, a simple moving average (period of your choice) determined by a + or - value. The value itself represents a Standard Deviation multiplier. A reading below ZERO signifies VOLUME below such average while a reading above ZERO signifies VOLUME is above the average. How far up or down from the zero line signifies how many units of standard deviation is VOLUME deviated from the set moving average.
The indicator when used in combination with the others in the set can help confirm breakout moments such as in the case above when the ZVOL DELTA crossed above the upper level.
Alert signals are provided in the script but you can turn them off in settings.
Each indicator in the ZScore Suite has a particular function:
ZClassic: Measures the position of Price in relation to a set average in units of standard deviation.
ZRange: Measures the position of the Standard Deviation itself in relation to a set average, in units of standard deviation.
ZVolumeDelta: Measures the position of Volume Delta in relation to a set average, in units of standard deviation.
ZTrend: Its a custom mathematical function that allows to measure the strength and direction of the Trend in reference to a set average.
FXBABATRADING ~ ZCLASSICOur ZClassic indicator is an outstanding indicator to determine the position of price in units of Standard Deviation from a set period average, that is, helps you visualize how much price has deviated from the mean. This indicator is part of a bundle of 5 indicators which we call the ZScore Indicator Suite, all based on the ZScore function of statistics, when used together can form an entire system.
In this particular mode (ZClassic) you can see whether Price is above or below the mean average of Price, that is a simple moving average (period of your choice), determined by a + or - value. The value itself represents a Standard Deviation multiplier. A reading below ZERO signifies Price below such average while a reading above ZERO signifies Price trading above the average. How far up or down from the zero line signifies how many units of standard deviation is price deviated from the set moving average.
The indicator when used in combination with the others in the set can help identify breakout moments as well as mean reversal moments. In the image above, without the need of other indicators, we can see how Price was trending to the upside, thus when the ZClassic reached the lower Level it would have served as a mean reversal signal giving us a good entry at a low price. When ZClassic crossed above the upper level it gave us a breakout signal to add to our Long position.
Each indicator in the ZScore Suite has a particular function:
ZClassic: Measures the position of Price in relation to a set average in units of standard deviation.
ZRange: Measures the position of the Standard Deviation itself in relation to a set average, in units of standard deviation.
ZVolumeDelta: Measures the position of Volume Delta in relation to a set average, in units of standard deviation.
ZTrend: Is a custom mathematical function that allows to measure the strength and direction of the Trend in reference to a set average.
Z-Score of RSIA way to see whether RSI is overbought or oversold inside its Bollinger Bands in the form of an oscillator. Z-score tells you how far the data is from the mean in terms of standard deviations. The numbers shown in the indicator are the number of standard deviations away from the average or mean. Like Bollinger Bands, if it is above the standard deviation border lines then it is considered to be outside the distribution or Bollinger Band. If it is above the upper border line then is it is overbought, if it is below the lower border line then is is oversold.
Example of how standard deviation works: 1 standard deviation contains 68% of the data, 2 SD (the default for BB) contains 95% of data, 3 SD for 99%, etc. If the data goes past that, it is considered to be outside the distribution. In statistics, data that is within the distribution is considered to be "significant".
The z-score line is colored green if it is above zero and red if it is below zero. Above zero means that the RSI is above the average line or the middle line of the Bollinger Bands, and vice-versa if it is below. A red vertical bar is shown when the the z-score is above the upper border line to show that it is overbought and a green vertical bar is shown when the z-score is below the lower border line to show that it is oversold. This is the equivalent of when the RSI is above and below its Bollinger Bands.
[Max] Yojo VolatilityThis script represent short, mid and long term Zscores combined with an approximed VIX calculated on the asset that is tested.
You can play with sensitivity options.
Colors from low to high are : yellow orange dark orange pink purple red.
Like always, I take everyfeedbacks.
Have a nice day !
Max
Z-Score 'Bollinger Bands'The following script is an application of the Z-Score (previous script).
Z-Scores can be used in place of standard deviation (sigma) in 'Bollinger Bands'.
The average of the sample (x-bar) over 21 days (N)
21 average trading days per month, fixed value
The average of the population (mu) over 63 days (n)
63 days per quarter, default is set to 63
Z-Score is calculated by formula in previous script, and the absolute value is taken of "Z".
Z-High = absolute value of Z + (x-bar).
Z-Low = absolute value of Z - (x-bar).
Will update with Z from mu and Z from avg (working on UX and visualization details).
Z-Score The z-score is a way of counting the number of standard deviations between a given data value and the mean of the data set.
Z-score = (x̄ - μ) / (σ / √ n)
x̄ = sample mean (using the array.avg function = array(a,close ), where i = 1 to 21)
μ = population mean ( = avg(close, n))
σ = standard deviation of the population ( = stdev(close,n))
n = number of 'close' or trading day closes
n = input
... Note: The previous indicator is part of a larger series of indicators
Cumulative distribution function - Probability Cumulative distribution function (tScore and zScore)
This script provides the calculation of the cumulative distribution function (i.e., probability). The measure allows you to calculate the chances of a value of interest being above or below a hypothesized value over the measurement period—nothing fancy here, just good old statistics and mathematics. The closer you are to 0 or 1, the more significant your measurement. We’ve included a significance level highlighting feature. The ability to turn price and/or volume off.
We have included both the Z and T statistics. Where the ‘Z’ is looking at the difference of the current value, minus the mean, and divided by the standard deviation. This is usually pretty noisy on a single value, so a smoother is included. Nice shoutout to the Pinecoders Github Page with this function also. The t-statistic is measuring the difference between a short measurement, an extended measurement, and divided by the standard error (sigma/sqrt(n)). Both of these are neatly wrapped into a function, so please feel free to use them in your code. Add a bit of science to your guessing game. For the purists out there, we have chosen to use sigma in the t-statistic because we know the population's behavior (as opposed to the s-measure). We’ve also included two levels of the t-statistic cumulative distribution function if you are using a short sample period below 6.
Finally, because everyone loves choices, we’ve included the ability to measure the probability of:
the current value (Price and volume)
change
percent change
momentum (change over a period of time)
Acceleration (change of the change)
contribution (amount of the current bar over the sum)
volatility (natural log ratio of today and the previous bar)
Here is a chart example explaining some of the data for the function.
Here are the various options you have the print the different measurements
A comparison of the t-statistic and z-statistic (t-score and z-score)
And the coloring options
Statistical Histogram with configurable bins and Data WindowCreates a Histogram for Statistical Analysis of any source.
Input Parameters:
Sample Source: Select your source here, can be any numerical source.
Sample Period: Sample size for Mean and Standard Deviation Calculations.
Enable Cumulative Mode: Will attempt to calculate the bin for every sample in the entire dataset.
Window Period: Used only in Window Mode (Enable Cumulative Mode unchecked), Calculates the bin for the past Window Period sample size.
Bin Label Spacing: Adjust horizontal spacing of Bin Labels below the histogram for easier viewing.
Center Bin: Selects the center Bin, usually set to (0 - Bin Width) < Sample <= 0 standard deviations or (z_score)
Bin Width: Selects the Bin Width in standard deviations.
How you can use it:
View characteristics of dataset such as unimodal/bimodal and skewness to determine preferred statistical analysis.
Additional Reference:
en.wikipedia.org
en.wikipedia.org
Credits:
Thanks goes out to www.tradingview.com , for cleaning up some of the code and www.tradingview.com for the original idea.
Usage Tips:
When adjusting the bin parameters, center bin and bin width, verify that the total sum of the bins (Sum Frequency in the Data Window) is close to the Total Samples. If your Sum Frequency is drastically lower it means you need to adjust your center bin and/or bin width to capture more of the data available.
Z Score Enhanced Time Segmented Volume (Multi MA)**THIS VERSION HAS BEEN STANDARDIZED WITH A Z SCORE CALCULATION AND ALLOWS THE USER TO SELECT WHICH MOVING AVERAGE THEY WOULD LIKE TO UTILIZE FOR THE SIGNAL LINE**
Chart shows the Non-Standardized Enhanced Time Segmented Volume (Multi MA) with default settings on top and the Standardized version with default settings on the bottom.
Time Segmented Volume was developed by Worden Brothers, Inc to be a leading indicator by comparing various time segments of both price and volume . Essentialy it is designed to measure the amount of money flowing in and out of an instrument.
Time Segmented Volume was originally ported to TradingView by user @liw0 and later corrected by user @vitelot. I never quite understood how to read Time Segmented Volume until I ran across a version by user @storma where they indicated when price would be long or short, but that code also utilized the incorrect calculation from user @liw0.
In an effort to make Time Segmented Volume more accessible and easier to read, I have re-coded it here. The calculations are based on the code from @vitelot and I have added direction indicators below the chart.
If the histogram (TSV) is greater than zero and greater than the moving average, price should be moving long and there will be a green box below the chart.
If TSV falls below the moving average while still being greater than zero, the trend may be exhausting and has been coded to read Price Action Long - FAILURE with a black x below the chart.
If the histogram (TSV) is less than zero and less than the moving average, price should be moving short and there will be a red box below the chart.
If TSV rises above the moving average while still being less than zero, the trend may be exhausting and has been coded to read Price Action Short - FAILURE with a black x below the chart.
At times, the moving average may be above zero while TSV is below zero or vice versa. In these situations the chart will indicate long or short based on whether or not TSV is greater or less than zero. It is possible a new trend may be forming as the moving average obviously lags, but also possible price is consolidating with little volume and causing TSV to oscillate close to zero.
**Z Score // Standardized Option **
Thist Standardized code implements all of the above but also allows the user to select a threshold level that should not need to be adjusted for each instrument (since the output is standardized).
If the TSV value meets the long and short signal requirements above and TSV is greater than the threshold values a green or red box will print ABOVE the oscillator. The histogram will also change color based on which threshold TSV has met.
This calculation allows us to compare current volatility to the mean (moving average) of the population (Z-Length). The closer the TSV Z-Score is to the mean, the closer it will be to the Zero Line and therefore price is likely consolidating and choppy. The farther TSV Z-Score is from the mean, the more likely price is trending.
The MA Mode determines the Moving Average used to calculate TSV itself. The Z-Score is ALWAYS calculated with a simple moving average (as that is the standard calculation for Z-Score).
The Threshold Levels are the levels at which TSV Z-Score will change from gray to yellow, orange, green ( bullish ), or red ( bearish ).
Statistically speaking, confidence levels in relation to Z-Score are noted below. The built in Threshold Levels are the positive and negative values for 90%, 95%, and 99%. This would indicate when volatility is greater than these values they are out of the ordinary from the standard range. You may wish to adjust these levels for TSV Z-Score to be more responsive to your trading needs
80% :: 1.28
85% :: 1.44
90% :: 1.64
95% :: 1.96
99% :: 2.58
The Z Length is the period for which the Z Score is calculated
More information regarding Time Segmented Volume can be found here: www.worden.com
Original code ported by @liw0
Corrected by @vitelot
Updated/Enhancements by @eylwithsteph with inspiration from @storma
Multiple MA Options Credits to @Fractured and @lejmer
Bits and Pieces from @AlexGrover, @Montyjus, and @Jiehonglim
As always, trade at your own risk.
WhipLashThis is a study to determine if small candle bodies (little difference between open and close), regardless of overall candle length (high/low), can be used to filter choppy markets.
The indicator will calculate the selected average "MA Mode" of (close-open). To standardize this result and ensure any filters/thresholds do not need to be recalculated for each instrument the result will be used to calculate the Z Score.
The idea is that when candle bodies are small there is very little actual price movement, and therefore price is choppy. When considering the Z Score of that result, any outliers ie larger candle bodies, could show a potential trend forming. This indicator is similar to QStick but allows more customization by the user.
MA Mode determines which MA is used to smooth the results of (close-open)
Price Smoothing is the number of running periods the MA Mode is calculated for.
The three Thresholds are preset to the 90%, 95%, and 99% levels for Z Score. If these thresholds are altered you may wish to also alter the horizontal lines programmed for each level on the positive and negative sides.
The Z Length is the period for which the Z Score is calculated
Multiple MA Options Credits to @Fractured
Bits and Pieces from @AlexGrover, @Montyjus, and @Jiehonglim
As always, trade at your own risk.
TD Moon Cycle Standard Deviation Z Score AlertsHas alerts for the TD 9 function, also the black is Z score and blue is STD Dev
Also the moon functionality of Ichimoonku is built into this as well because sometimes I just want to see the cycles of moon with TD9 ; see that script (Ichimoonku) for more info on moon functionality.
Much love
Enjoy
GL HF
xoxo
Snoop
Quantile BandsMiddle quantile/band color is set by confluence of the outer quantiles and not by it's own slope. Optional MTF.
Profit Z Study Study version of the Profit Z strategy. Generates signals based on price and volume Z-Scores.
We updated this version to include more alerts, volume Z-scores, and an easily-adjustable stop-loss.
[RS]Normalized Standard SelectorEXPERIMENTAL:
market state, text says it all most of the time at least.
OBV Divergence Tracker StrategyThis strategy combines OBV Z Scores and price Z Scores to identify divergences and generate entry and exit signals.
