Z-Score Probability Indicator for ThinkOrSwim

samer800

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Upper Code created by me based on the lower code.

Author Message:
This is the Z-Score Probability indicator. As many people like my original Z-Score indicator and have expressed more interest in the powers of the Z, I decided to make this indicator which shows additional powers of the Z-Score.

Z-Score is not only useful for measuring a ticker or any other variable’s distance from the mean, it is also useful to calculate general probability in a normal distribution set. Not only can it calculate probability in a dataset, but it can also calculate the variables within said dataset by using the Standard Deviation and the Mean of the dataset.

Using these 2 aspects of the Z-Score, you can, In principle, have an indicator that operates similar to Fibonacci retracement levels with the added bonus of being able to actually ascertain the realistic probability of said retracement.

more details: https://www.tradingview.com/script/zrc6tWT4-Z-Score-Probability-Indicator/

Upper CODE:

CSS:
# creatred by Sam4Cok@Samer800 based on © Steversteves code
#https://www.tradingview.com/v/zrc6tWT4/
#// © Steversteves
#indicator("Z-Score Probability Indicator")

input source = close;
input showLabel       = yes;        # "Show Z-Table"
input HighlightLevels = yes;
input ShowSignals     = yes;
input LookbackLength     = 75;         # "Lookback Length"
input chartStyle         = {Default "Levels", "Band", "Levels & Band", "Don't Show"};
input showMovAvgLine     = yes;        # "Show SMA"
input movAvgType         = {default SMA, EMA, WMA, HullMA, VWMA, RMA, TEMA};
input movAvgLength       = 14;         # "SMA Length"
input onChartPriceProbaiblity = {"Bubbles", "Lines",Default "Bubbles & Lines", "Don't Show"};
input priceBubbleLocatation = 5;


def na = Double.NaN;
def n = priceBubbleLocatation;
def last = isNaN(close);
def loc = last[n] and !last[n+1];
def lines = chartStyle==chartStyle."Levels" or chartStyle==chartStyle."Levels & Band";
def band  = chartStyle==chartStyle."Band" or chartStyle==chartStyle."Levels & Band";
def propLines = onChartPriceProbaiblity==onChartPriceProbaiblity."Lines" or
                onChartPriceProbaiblity==onChartPriceProbaiblity."Bubbles & Lines";
def propBubbles = onChartPriceProbaiblity==onChartPriceProbaiblity."Bubbles" or
                  onChartPriceProbaiblity==onChartPriceProbaiblity."Bubbles & Lines";
#get_ma(src, ma_type, len) =>
script get_ma {
    input ma_type = "TEMA";
    input src = close;
    input len = 100;
    def hullma = HullMovingAvg(src, len);
    def vwma = Average(src * volume, len) / Average(volume, len);
    def ema1 = ExpAverage(src, len);
    def ema2 = ExpAverage(ema1, len);
    def ema3 = ExpAverage(ema2, len);
    def tema = 3 * (ema1 - ema2) + ema3;
    def ma = if ma_type == "SMA" then Average(src, len) else
        if ma_type == "EMA" then ExpAverage(src, len)   else
            if ma_type == "WMA" then WMA(src, len) else
                if ma_type == "HullMA" then hullma else
                    if ma_type == "VWMA" then vwma else
                        if ma_type == "RMA" then WildersAverage(src, len) else tema;
    plot out = ma;
}
def cl_sma = Average(source, LookbackLength);
def cl_sd = StDev(source, LookbackLength);
def z = (source - cl_sma) / cl_sd;

#// Logical Assessments ///
def "0"  = 0;
def "1"  = 1;
def "2"  = 2;
def "3"  = 3;
def "-1" = -1;
def "-2" = -2;
def "-3" = -3;

def negThree = z < "-3";
def negTwo   = z <= "-2" and z >= "-3";
def negOne   = z <  "0" and z > "-1";
def zero     = z >= "1" and z <= "-1";
def posOne   = z >= "0" and z < "1";
def posTwo   = z >= "2" and z <= "3";
def posThree = z > "3";

#/// Price Level Calculations ///
def bar_index = AbsValue(CompoundValue(1, BarNumber(), 0));
#def loc = ShowPriceProbaiblity and last and !last[1];
def neutral_price = (cl_sma) + ("0" * cl_sd);
def onesd_price = (cl_sma) + ("1" * cl_sd);
def twosd_price = (cl_sma) + ("2" * cl_sd);
def threesd_price = (cl_sma) + ("3" * cl_sd);
def neg_onesd_price = (cl_sma) + ("-1" * cl_sd);
def neg_twosd_price = (cl_sma) + ("-2" * cl_sd);
def neg_threesd_price = (cl_sma) + ("-3" * cl_sd);

def zero1;
def posOne1;
def posTwo1;
def posThree1;
def negOne1;
def negTwo1;
def negThree1;

if bar_index >= LookbackLength {
    negThree1 = neg_threesd_price;
    negTwo1   = neg_twosd_price;
    negOne1   = neg_onesd_price;
    zero1     = neutral_price;
    posOne1   = onesd_price;
    posTwo1   = twosd_price;
    posThree1 = threesd_price;
    } else {
    zero1     = na;
    posOne1   = na;
    posTwo1   = na;
    posThree1 = na;
    negOne1   = na;
    negTwo1   = na;
    negThree1 = na;
}
def zsma = get_ma(movAvgType, zero1, movAvgLength);
def z_sma = if showMovAvgLine then zsma else na;
def falling = zsma <= lowest(zsma, 3);
def rising  = zsma >= highest(zsma,3);

plot avgZscore = z_sma;
avgZscore.AssignValueColor(if rising then Color.CYAN else Color.MAGENTA);
avgZscore.SetLineWeight(2);

def negThree11 = inertiaAll(highestAll(inertiaAll(negThree1, 2)), LookbackLength+1);
def negTwo11   = inertiaAll(highestAll(inertiaAll(negTwo1, 2)), LookbackLength+1);
def negOne11   = inertiaAll(highestAll(inertiaAll(negOne1, 2)), LookbackLength+1);
def zero11     = inertiaAll(highestAll(inertiaAll(zero1, 2)), LookbackLength+1);
def one11      = inertiaAll(highestAll(inertiaAll(posOne1, 2)), LookbackLength+1);
def two11      = inertiaAll(highestAll(inertiaAll(posTwo1, 2)), LookbackLength+1);
def three11    = inertiaAll(highestAll(inertiaAll(posThree1, 2)), LookbackLength+1);

#-- Lines
plot negThree_22 = if lines then negThree11 else na;
plot negTwo_22   = if lines then negTwo11 else na;
plot negOne_22   = if lines then negOne11 else na;
plot zero_22     = if lines then zero11 else na;
plot posOne_22      = if lines then one11  else na;
plot two_22      = if lines then two11  else na;
plot three_22    = if lines then three11 else na;

negThree_22.AssignValueColor(if negThree then Color.RED else Color.DARK_RED);
negTwo_22.AssignValueColor(if negTwo then Color.YELLOW else CreateColor(78,78,0));
negOne_22.AssignValueColor(if negOne then Color.GREEN else Color.DARK_GREEN);
zero_22.AssignValueColor(if zero then Color.GREEN else Color.DARK_GREEN);
posOne_22.AssignValueColor(if posOne then Color.GREEN else Color.DARK_GREEN);
two_22.AssignValueColor(if posTwo then Color.YELLOW else CreateColor(78,78,0));
three_22.AssignValueColor(if posThree then Color.RED else Color.DARK_RED);
#--- Band
plot negThree22 = if band then negThree1 else na;
plot negTwo22   = if band then negTwo1 else na;
plot negOne22   = if band then negOne1 else na;
plot zero22     = if band then zero1 else na;
plot one22      = if band then posone1  else na;
plot two22      = if band then postwo1  else na;
plot three22    = if band then posthree1 else na;

negThree22.AssignValueColor(if negThree then Color.RED else Color.DARK_RED);
negTwo22.AssignValueColor(if negTwo then Color.YELLOW else CreateColor(78,78,0));
negOne22.AssignValueColor(if negOne then Color.GREEN else Color.DARK_GREEN);
zero22.AssignValueColor(if zero then Color.GREEN else Color.DARK_GREEN);
one22.AssignValueColor(if posOne then Color.GREEN else Color.DARK_GREEN);
two22.AssignValueColor(if posTwo then Color.YELLOW else CreateColor(78,78,0));
three22.AssignValueColor(if posThree then Color.RED else Color.DARK_RED);
#--

plot negThree_2 = if negThree then negThree22 else na;
plot negTwo_2   = if negTwo then negTwo22 else na;
plot negOne_2   = if negOne then negOne22 else na;
plot zero_2     = if zero then zero22 else na;
plot posOne_2   = if posOne then one22  else na;
plot posTwo_2   = if posTwo then two22  else na;
plot posThree_2 = if posThree then three22 else na;

negThree_2.SetDefaultColor(Color.RED);
negTwo_2.SetDefaultColor(Color.YELLOW);
negOne_2.SetDefaultColor(Color.GREEN);
zero_2.SetDefaultColor(Color.GREEN);
posone_2.SetDefaultColor(Color.GREEN);
postwo_2.SetDefaultColor(Color.YELLOW);
posthree_2.SetDefaultColor(Color.RED);

negThree_2.SetLineWeight(2);
negTwo_2.SetLineWeight(2);
negOne_2.SetLineWeight(2);
zero_2.SetLineWeight(2);
posone_2.SetLineWeight(2);
postwo_2.SetLineWeight(2);
posthree_2.SetLineWeight(2);

def negThree33 = if last then na else negThree1;
def negTwo33   = if last then na else negTwo1;
def negOne33   = if last then na else negOne1;
def zero33     = if last then na else zero1;
def posOne33   = if last then na else posOne1;
def posTwo33   = if last then na else posTwo1;
def posThree33 = if last then na else posThree1;

def negThree3 = CompoundValue(1, if IsNaN(negThree33) then negThree3[1] else negThree1, negThree1);
def negTwo3   = CompoundValue(1, if IsNaN(negTwo33)   then negTwo3[1]   else negTwo1, negTwo1);
def negOne3   = CompoundValue(1, if IsNaN(negOne33)   then negOne3[1]   else negOne1, negOne1);
def zero3     = CompoundValue(1, if IsNaN(zero33)     then zero3[1]     else zero1, zero1);
def posOne3   = CompoundValue(1, if IsNaN(posOne33)   then posOne3[1]   else posOne1, posOne1);
def posTwo3   = CompoundValue(1, if IsNaN(posTwo33)   then posTwo3[1]   else posTwo1, posTwo1);
def posThree3 = CompoundValue(1, if IsNaN(posThree33) then posThree3[1] else posThree1, posThree1);


plot negThree_3 = if !last or last[n] then na else negThree3;
plot negTwo_3   = if !last or last[n] then na else negTwo3;
plot negOne_3   = if !last or last[n] then na else negOne3;
plot zero_3     = if !last or last[n] then na else zero3;
plot posOne_3   = if !last or last[n] then na else posOne3;
plot posTwo_3   = if !last or last[n] then na else posTwo3;
plot posThree_3 = if !last or last[n] then na else posThree3;

negThree_3.AssignValueColor(if negThree[n] then Color.RED else Color.GRAY);
negTwo_3.AssignValueColor(if negTwo[n] then Color.YELLOW else Color.GRAY);
negOne_3.AssignValueColor(if negOne[n] then Color.GREEN else Color.GRAY);
zero_3.AssignValueColor(if zero[n] then Color.GREEN else Color.GRAY);
posone_3.AssignValueColor(if posone[n] then Color.GREEN else Color.GRAY);
postwo_3.AssignValueColor(if postwo[n] then Color.YELLOW else Color.GRAY);
posthree_3.AssignValueColor(if posthree[n] then Color.RED else Color.GRAY);

negThree_3.SetHiding(!propLines);
negTwo_3.SetHiding(!propLines);
negOne_3.SetHiding(!propLines);
zero_3.SetHiding(!propLines);
posone_3.SetHiding(!propLines);
postwo_3.SetHiding(!propLines);
posthree_3.SetHiding(!propLines);
#-- Label

Addlabel(showLabel, "(0.13%) $" + Round(negThree1,2), if negThree then Color.RED else Color.DARK_RED);
Addlabel(showLabel, "(2.28%) $" + Round(negTwo1,2), if negTwo then Color.YELLOW else CreateColor(78,78,0));
Addlabel(showLabel, "(16.0%) $" + Round(negOne1,2), if negOne then Color.GREEN else Color.DARK_GREEN);
Addlabel(showLabel, "(50.0%) $" + Round(zero1,2), if zero then Color.GREEN else Color.DARK_GREEN);
Addlabel(showLabel, "(85.0%) $" + Round(posOne1,2), if posOne then Color.GREEN else Color.DARK_GREEN);
Addlabel(showLabel, "(98.0%) $" + Round(posTwo1,2), if posTwo then Color.YELLOW else CreateColor(78,78,0));
Addlabel(showLabel, "(99.9%) $" + Round(posThree1,2), if posThree then Color.RED else Color.DARK_RED);

# -- Bubbles
AddChartBubble(negThree_3 and negThree_3[n-1] and propBubbles, negThree_3 ,round(negThree1[n],2),
              if negThree[n] then Color.RED else Color.GRAY, yes);
AddChartBubble(negTwo_3   and negTwo_3[n-1]  and propBubbles, negTwo_3   ,round(negTwo1[n],2),
              if negTwo[n] then Color.YELLOW else Color.GRAY, yes);
AddChartBubble(negOne_3   and negOne_3[n-1]  and propBubbles, negOne_3   ,round(negOne1[n],2),
              if negOne[n] then Color.GREEN else color.GRAY, yes);
AddChartBubble(zero_3     and zero_3[n-1]    and propBubbles, zero_3     ,round(zero1[n],2),
              if zero[n] then Color.GREEN else Color.GRAY, yes);
AddChartBubble(posOne_3   and posOne_3[n-1]  and propBubbles, posOne_3   ,round(posOne1[n],2),
              if posOne[n] then Color.GREEN else Color.GRAY, yes);
AddChartBubble(posTwo_3   and posTwo_3[n-1]  and propBubbles, posTwo_3   ,round(posTwo1[n],2),
              if posTwo[n] then Color.YELLOW else Color.GRAY, yes);
AddChartBubble(posThree_3 and posThree_3[n-1] and propBubbles, posThree_3 ,round(posThree1[n],2),
              if posThree[n] then Color.RED else Color.GRAY, yes);

#-- Clouds
#HighlightLevels
AddCloud(if !HighlightLevels then na else three22, two22, Color.DARK_RED);
AddCloud(if !HighlightLevels then na else two22, one22, CreateColor(78,78,0));
AddCloud(if !HighlightLevels then na else one22, negOne22, Color.DARK_GRAY);
AddCloud(if !HighlightLevels then na else negOne22, negTwo22, CreateColor(78,78,0));
AddCloud(if !HighlightLevels then na else negTwo22, negThree22, Color.DARK_RED);

AddCloud(if !HighlightLevels then na else three_22, two_22, Color.DARK_RED);
AddCloud(if !HighlightLevels then na else two_22, posOne_22, CreateColor(78,78,0));
AddCloud(if !HighlightLevels then na else posOne_22, negOne_22, Color.DARK_GRAY);
AddCloud(if !HighlightLevels then na else negOne_22, negTwo_22, CreateColor(78,78,0));
AddCloud(if !HighlightLevels then na else negTwo_22, negThree_22, Color.DARK_RED);

#-- Signals
def zRising  = z >= highest(average(z, 5), 5);
def zFalling = z <= lowest(average(z, 5), 5);

def sigUp = (source crosses above zsma) and zRising and z>0.5;
def sigDn = (source crosses below zsma) and zFalling and z<-0.5;

AddChartBubble(ShowSignals and sigUp, low, "Buy", Color.GREEN, no);
AddChartBubble(ShowSignals and sigDn, high, "Sell", Color.RED, yes);

#END of CODE

LOWER CODE:

CSS:
#// © Steversteves
#indicator("Z-Score Probability Indicator")
#t1 = "Determines the Length of Z-Score Assessment. Defaults to a 75 lookback period"
#t2 = "Determines the length of the SMA if the user selects Show SMA. Default is 75, but for a more responsive SMA you can reduce it to 14. Optional."
#Converted by sam4Cok@Samer800    - 06/2023

declare lower;
input priceBubbleLocatation = 5;
input LookbackLength  = 75;         # "Lookback Length" tip: t1
input smaLength       = 14;         # "SMA Length"      tip: t2
input ShowPriceBubble = yes;        # "Distribution Probaiblity Price"
input showLabel       = yes;        # "Show Z-Table"
input showSmaLine     = yes;        # "Show SMA"

def na = Double.NaN;
def last = isNaN(close);
def n = priceBubbleLocatation;
def bar_index = AbsValue(CompoundValue(1, BarNumber(), 0));
def loc = ShowPriceBubble and last[n] and !last[n+1];


def cl_sma = Average(close, LookbackLength);
def cl_sd = StDev(close, LookbackLength);
def z = (close - cl_sma) / cl_sd;
def zsma = Average(z, smaLength);
def z_sma = if showSmaLine then zsma else na;

#// Logical Assessments ///

def zero_one = z >= 0 and z < 1;
def two_three = z >= 2 and z < 3.01;
def three = z >= 3;
def zero = z >= 0.99 and z <= -0.99;
def neg_zero_one = z < 0 and z > -1;
def neg_two_three = z <= -2 and z > -3;
def neg_three = z <= -3;
#def falling = z_sma < lowest(z_sma, 3);
def rising = z_sma >= highest(z_sma, smaLength);

#/// Plots ///
plot sma_Z = z_sma;    # "Z-SMA"
plot Z_Score = z;      # "Z-Score"
Z_Score.AssignValueColor(if z>0 then Color.GREEN else Color.RED);
sma_Z.AssignValueColor(if rising then Color.CYAN else Color.MAGENTA);
sma_Z.SetLineWeight(2);

def neutral = 0;
def onesd = 1;
def twosd = 2;
def threesd = 3;
def neg_onesd = -1;
def neg_twosd = -2;
def neg_threesd = -3;

AddCloud(Z_Score, neutral, Color.GREEN, Color.RED);
AddCloud(Z_Score, neutral, Color.GREEN, Color.RED);
AddCloud(Z_Score, neutral, Color.GREEN, Color.RED);
AddCloud(Z_Score, neutral, Color.GREEN, Color.RED);
AddCloud(Z_Score, neutral, Color.GREEN, Color.RED);
AddCloud(Z_Score, neutral, Color.GREEN, Color.RED);
AddCloud(Z_Score, neutral, Color.GREEN, Color.RED);

AddCloud(if last then na else threesd, twosd        , Color.DARK_RED);
AddCloud(if last then na else twosd, onesd          , CreateColor(157,157,0));
AddCloud(if last then na else onesd, neg_onesd      , Color.DARK_GREEN);
AddCloud(if last then na else neg_onesd, neg_twosd  , CreateColor(157,157,0));
AddCloud(if last then na else neg_twosd, neg_threesd, Color.DARK_RED);

#/// Price Level Calculations ///
def neutral_price = (cl_sma) + (0 * cl_sd);
def onesd_price = (cl_sma) + (1 * cl_sd);
def twosd_price = (cl_sma) + (2 * cl_sd);
def threesd_price = (cl_sma) + (3 * cl_sd);
def neg_onesd_price = (cl_sma) + (-1 * cl_sd);
def neg_twosd_price = (cl_sma) + (-2 * cl_sd);
def neg_threesd_price = (cl_sma) + (-3 * cl_sd);

def zero1;
def one;
def two;
def three1;
def negOne;
def negTwo;
def negThree;

if bar_index >= 75 {
    zero1 = neutral_price;
    one = onesd_price;
    two = twosd_price;
    three1 = threesd_price;
    negOne = neg_onesd_price;
    negTwo = neg_twosd_price;
    negThree = neg_threesd_price;
    } else {
    zero1 = na;
    one = na;
    two = na;
    three1 = na;
    negOne = na;
    negTwo = na;
    negThree = na;
}

AddChartBubble(loc, neutral  , round(zero1[n+1],2), if zero[n+1] then Color.WHITE else Color.DARK_GRAY, yes);
AddChartBubble(loc, onesd    , round(one[n+1],2), if zero_one[n+1] then Color.WHITE else Color.DARK_GRAY, yes);
AddChartBubble(loc, twosd    , round(two[n+1],2), if two_three[n+1] then Color.WHITE else Color.DARK_GRAY, yes);
AddChartBubble(loc, threesd  , round(three1[n+1],2), if three[n+1] then Color.WHITE else Color.DARK_GRAY, yes);
AddChartBubble(loc, neg_onesd, round(negOne[n+1],2), if neg_zero_one[n+1] then Color.WHITE else Color.DARK_GRAY, yes);
AddChartBubble(loc, neg_twosd, round(negTwo[n+1],2), if neg_two_three[n+1] then Color.WHITE else Color.DARK_GRAY, yes);
AddChartBubble(loc, neg_threesd, round(negThree[n+1],2), if neg_three[n+1] then Color.WHITE else Color.DARK_GRAY, yes);

#-- Label

Addlabel(showLabel, "(0.13%) $" + round(negThree,2), if neg_three then Color.RED else Color.DARK_RED);
Addlabel(showLabel, "(2.28%) $" + round(negTwo,2), if neg_two_three then Color.YELLOW else CreateColor(78,78,0));
Addlabel(showLabel, "(16.0%) $" + round(negOne,2), if neg_zero_one then Color.GREEN else Color.DARK_GREEN);
Addlabel(showLabel, "(50.0%) $" + round(zero1,2), if zero then Color.GREEN else Color.DARK_GREEN);
Addlabel(showLabel, "(85.0%) $" + round(one,2), if zero_one then Color.GREEN else Color.DARK_GREEN);
Addlabel(showLabel, "(98.0%) $" + round(two,2), if two_three then Color.YELLOW else CreateColor(78,78,0));
Addlabel(showLabel, "(99.9%) $" + round(three1,2), if three then Color.RED else Color.DARK_RED);


#END of CODE
 
Z-Score Probability Indicator Scan
Shared Scanner Link: http://tos.mx/7KEVv9q Click here for --> Easiest way to load shared links
qjRa679.png


Ruby:
# Z-Score Probability Indicator Scan ONLY
# creatred by Sam4Cok@Samer800 based on © Steversteves code
#https://www.tradingview.com/v/zrc6tWT4/
#// © Steversteves
#indicator("Z-Score Probability Indicator")

input source = close;
input LookbackLength     = 75;         # "Lookback Length"
input chartStyle         = {Default "Levels", "Band", "Levels & Band", "Don't Show"};
input showMovAvgLine     = yes;        # "Show SMA"
input movAvgType         = {default SMA, EMA, WMA, HullMA, VWMA, RMA, TEMA};
input movAvgLength       = 14;         # "SMA Length"

def na = Double.NaN;
def last = isNaN(close);
def lines = chartStyle==chartStyle."Levels" or chartStyle==chartStyle."Levels & Band";
def band  = chartStyle==chartStyle."Band" or chartStyle==chartStyle."Levels & Band";

script get_ma {
    input ma_type = "TEMA";
    input src = close;
    input len = 100;
    def hullma = HullMovingAvg(src, len);
    def vwma = Average(src * volume, len) / Average(volume, len);
    def ema1 = ExpAverage(src, len);
    def ema2 = ExpAverage(ema1, len);
    def ema3 = ExpAverage(ema2, len);
    def tema = 3 * (ema1 - ema2) + ema3;
    def ma = if ma_type == "SMA" then Average(src, len) else
        if ma_type == "EMA" then ExpAverage(src, len)   else
            if ma_type == "WMA" then WMA(src, len) else
                if ma_type == "HullMA" then hullma else
                    if ma_type == "VWMA" then vwma else
                        if ma_type == "RMA" then WildersAverage(src, len) else tema;
    plot out = ma;
}
def cl_sma = Average(source, LookbackLength);
def cl_sd = StDev(source, LookbackLength);
def z = (source - cl_sma) / cl_sd;

#// Logical Assessments ///
def "0"  = 0;
def "1"  = 1;
def "2"  = 2;
def "3"  = 3;
def "-1" = -1;
def "-2" = -2;
def "-3" = -3;

def negThree = z < "-3";
def negTwo   = z <= "-2" and z >= "-3";
def negOne   = z <  "0" and z > "-1";
def zero     = z >= "1" and z <= "-1";
def posOne   = z >= "0" and z < "1";
def posTwo   = z >= "2" and z <= "3";
def posThree = z > "3";

#/// Price Level Calculations ///
def bar_index = AbsValue(CompoundValue(1, BarNumber(), 0));
#def loc = ShowPriceProbaiblity and last and !last[1];
def neutral_price = (cl_sma) + ("0" * cl_sd);
def onesd_price = (cl_sma) + ("1" * cl_sd);
def twosd_price = (cl_sma) + ("2" * cl_sd);
def threesd_price = (cl_sma) + ("3" * cl_sd);
def neg_onesd_price = (cl_sma) + ("-1" * cl_sd);
def neg_twosd_price = (cl_sma) + ("-2" * cl_sd);
def neg_threesd_price = (cl_sma) + ("-3" * cl_sd);

def zero1;
def posOne1;
def posTwo1;
def posThree1;
def negOne1;
def negTwo1;
def negThree1;

if bar_index >= LookbackLength {
    negThree1 = neg_threesd_price;
    negTwo1   = neg_twosd_price;
    negOne1   = neg_onesd_price;
    zero1     = neutral_price;
    posOne1   = onesd_price;
    posTwo1   = twosd_price;
    posThree1 = threesd_price;
    } else {
    zero1     = na;
    posOne1   = na;
    posTwo1   = na;
    posThree1 = na;
    negOne1   = na;
    negTwo1   = na;
    negThree1 = na;
}
def zsma = get_ma(movAvgType, zero1, movAvgLength);
def z_sma = if showMovAvgLine then zsma else na;
def falling = zsma <= lowest(zsma, 3);
def rising  = zsma >= highest(zsma,3);

#-- Signals
def zRising  = z >= highest(average(z, 5), 5);
def zFalling = z <= lowest(average(z, 5), 5);

plot sigUp = (source crosses above zsma) and zRising and z>0.5;
#plot sigDn = (source crosses below zsma) and zFalling and z<-0.5;
 
Are there any confirmation indicators the recommend using with this?
What time frames does the sport on?
Will it work with all stocks ETFs?
 
wmd7tEU.png

Upper Code created by me based on the lower code.

Author Message:
This is the Z-Score Probability indicator. As many people like my original Z-Score indicator and have expressed more interest in the powers of the Z, I decided to make this indicator which shows additional powers of the Z-Score.

Z-Score is not only useful for measuring a ticker or any other variable’s distance from the mean, it is also useful to calculate general probability in a normal distribution set. Not only can it calculate probability in a dataset, but it can also calculate the variables within said dataset by using the Standard Deviation and the Mean of the dataset.

Using these 2 aspects of the Z-Score, you can, In principle, have an indicator that operates similar to Fibonacci retracement levels with the added bonus of being able to actually ascertain the realistic probability of said retracement.

more details: https://www.tradingview.com/script/zrc6tWT4-Z-Score-Probability-Indicator/

Upper CODE:

CSS:
# creatred by Sam4Cok@Samer800 based on © Steversteves code
#https://www.tradingview.com/v/zrc6tWT4/
#// © Steversteves
#indicator("Z-Score Probability Indicator")

input source = close;
input showLabel       = yes;        # "Show Z-Table"
input HighlightLevels = yes;
input ShowSignals     = yes;
input LookbackLength     = 75;         # "Lookback Length"
input chartStyle         = {Default "Levels", "Band", "Levels & Band", "Don't Show"};
input showMovAvgLine     = yes;        # "Show SMA"
input movAvgType         = {default SMA, EMA, WMA, HullMA, VWMA, RMA, TEMA};
input movAvgLength       = 14;         # "SMA Length"
input onChartPriceProbaiblity = {"Bubbles", "Lines",Default "Bubbles & Lines", "Don't Show"};
input priceBubbleLocatation = 5;


def na = Double.NaN;
def n = priceBubbleLocatation;
def last = isNaN(close);
def loc = last[n] and !last[n+1];
def lines = chartStyle==chartStyle."Levels" or chartStyle==chartStyle."Levels & Band";
def band  = chartStyle==chartStyle."Band" or chartStyle==chartStyle."Levels & Band";
def propLines = onChartPriceProbaiblity==onChartPriceProbaiblity."Lines" or
                onChartPriceProbaiblity==onChartPriceProbaiblity."Bubbles & Lines";
def propBubbles = onChartPriceProbaiblity==onChartPriceProbaiblity."Bubbles" or
                  onChartPriceProbaiblity==onChartPriceProbaiblity."Bubbles & Lines";
#get_ma(src, ma_type, len) =>
script get_ma {
    input ma_type = "TEMA";
    input src = close;
    input len = 100;
    def hullma = HullMovingAvg(src, len);
    def vwma = Average(src * volume, len) / Average(volume, len);
    def ema1 = ExpAverage(src, len);
    def ema2 = ExpAverage(ema1, len);
    def ema3 = ExpAverage(ema2, len);
    def tema = 3 * (ema1 - ema2) + ema3;
    def ma = if ma_type == "SMA" then Average(src, len) else
        if ma_type == "EMA" then ExpAverage(src, len)   else
            if ma_type == "WMA" then WMA(src, len) else
                if ma_type == "HullMA" then hullma else
                    if ma_type == "VWMA" then vwma else
                        if ma_type == "RMA" then WildersAverage(src, len) else tema;
    plot out = ma;
}
def cl_sma = Average(source, LookbackLength);
def cl_sd = StDev(source, LookbackLength);
def z = (source - cl_sma) / cl_sd;

#// Logical Assessments ///
def "0"  = 0;
def "1"  = 1;
def "2"  = 2;
def "3"  = 3;
def "-1" = -1;
def "-2" = -2;
def "-3" = -3;

def negThree = z < "-3";
def negTwo   = z <= "-2" and z >= "-3";
def negOne   = z <  "0" and z > "-1";
def zero     = z >= "1" and z <= "-1";
def posOne   = z >= "0" and z < "1";
def posTwo   = z >= "2" and z <= "3";
def posThree = z > "3";

#/// Price Level Calculations ///
def bar_index = AbsValue(CompoundValue(1, BarNumber(), 0));
#def loc = ShowPriceProbaiblity and last and !last[1];
def neutral_price = (cl_sma) + ("0" * cl_sd);
def onesd_price = (cl_sma) + ("1" * cl_sd);
def twosd_price = (cl_sma) + ("2" * cl_sd);
def threesd_price = (cl_sma) + ("3" * cl_sd);
def neg_onesd_price = (cl_sma) + ("-1" * cl_sd);
def neg_twosd_price = (cl_sma) + ("-2" * cl_sd);
def neg_threesd_price = (cl_sma) + ("-3" * cl_sd);

def zero1;
def posOne1;
def posTwo1;
def posThree1;
def negOne1;
def negTwo1;
def negThree1;

if bar_index >= LookbackLength {
    negThree1 = neg_threesd_price;
    negTwo1   = neg_twosd_price;
    negOne1   = neg_onesd_price;
    zero1     = neutral_price;
    posOne1   = onesd_price;
    posTwo1   = twosd_price;
    posThree1 = threesd_price;
    } else {
    zero1     = na;
    posOne1   = na;
    posTwo1   = na;
    posThree1 = na;
    negOne1   = na;
    negTwo1   = na;
    negThree1 = na;
}
def zsma = get_ma(movAvgType, zero1, movAvgLength);
def z_sma = if showMovAvgLine then zsma else na;
def falling = zsma <= lowest(zsma, 3);
def rising  = zsma >= highest(zsma,3);

plot avgZscore = z_sma;
avgZscore.AssignValueColor(if rising then Color.CYAN else Color.MAGENTA);
avgZscore.SetLineWeight(2);

def negThree11 = inertiaAll(highestAll(inertiaAll(negThree1, 2)), LookbackLength+1);
def negTwo11   = inertiaAll(highestAll(inertiaAll(negTwo1, 2)), LookbackLength+1);
def negOne11   = inertiaAll(highestAll(inertiaAll(negOne1, 2)), LookbackLength+1);
def zero11     = inertiaAll(highestAll(inertiaAll(zero1, 2)), LookbackLength+1);
def one11      = inertiaAll(highestAll(inertiaAll(posOne1, 2)), LookbackLength+1);
def two11      = inertiaAll(highestAll(inertiaAll(posTwo1, 2)), LookbackLength+1);
def three11    = inertiaAll(highestAll(inertiaAll(posThree1, 2)), LookbackLength+1);

#-- Lines
plot negThree_22 = if lines then negThree11 else na;
plot negTwo_22   = if lines then negTwo11 else na;
plot negOne_22   = if lines then negOne11 else na;
plot zero_22     = if lines then zero11 else na;
plot posOne_22      = if lines then one11  else na;
plot two_22      = if lines then two11  else na;
plot three_22    = if lines then three11 else na;

negThree_22.AssignValueColor(if negThree then Color.RED else Color.DARK_RED);
negTwo_22.AssignValueColor(if negTwo then Color.YELLOW else CreateColor(78,78,0));
negOne_22.AssignValueColor(if negOne then Color.GREEN else Color.DARK_GREEN);
zero_22.AssignValueColor(if zero then Color.GREEN else Color.DARK_GREEN);
posOne_22.AssignValueColor(if posOne then Color.GREEN else Color.DARK_GREEN);
two_22.AssignValueColor(if posTwo then Color.YELLOW else CreateColor(78,78,0));
three_22.AssignValueColor(if posThree then Color.RED else Color.DARK_RED);
#--- Band
plot negThree22 = if band then negThree1 else na;
plot negTwo22   = if band then negTwo1 else na;
plot negOne22   = if band then negOne1 else na;
plot zero22     = if band then zero1 else na;
plot one22      = if band then posone1  else na;
plot two22      = if band then postwo1  else na;
plot three22    = if band then posthree1 else na;

negThree22.AssignValueColor(if negThree then Color.RED else Color.DARK_RED);
negTwo22.AssignValueColor(if negTwo then Color.YELLOW else CreateColor(78,78,0));
negOne22.AssignValueColor(if negOne then Color.GREEN else Color.DARK_GREEN);
zero22.AssignValueColor(if zero then Color.GREEN else Color.DARK_GREEN);
one22.AssignValueColor(if posOne then Color.GREEN else Color.DARK_GREEN);
two22.AssignValueColor(if posTwo then Color.YELLOW else CreateColor(78,78,0));
three22.AssignValueColor(if posThree then Color.RED else Color.DARK_RED);
#--

plot negThree_2 = if negThree then negThree22 else na;
plot negTwo_2   = if negTwo then negTwo22 else na;
plot negOne_2   = if negOne then negOne22 else na;
plot zero_2     = if zero then zero22 else na;
plot posOne_2   = if posOne then one22  else na;
plot posTwo_2   = if posTwo then two22  else na;
plot posThree_2 = if posThree then three22 else na;

negThree_2.SetDefaultColor(Color.RED);
negTwo_2.SetDefaultColor(Color.YELLOW);
negOne_2.SetDefaultColor(Color.GREEN);
zero_2.SetDefaultColor(Color.GREEN);
posone_2.SetDefaultColor(Color.GREEN);
postwo_2.SetDefaultColor(Color.YELLOW);
posthree_2.SetDefaultColor(Color.RED);

negThree_2.SetLineWeight(2);
negTwo_2.SetLineWeight(2);
negOne_2.SetLineWeight(2);
zero_2.SetLineWeight(2);
posone_2.SetLineWeight(2);
postwo_2.SetLineWeight(2);
posthree_2.SetLineWeight(2);

def negThree33 = if last then na else negThree1;
def negTwo33   = if last then na else negTwo1;
def negOne33   = if last then na else negOne1;
def zero33     = if last then na else zero1;
def posOne33   = if last then na else posOne1;
def posTwo33   = if last then na else posTwo1;
def posThree33 = if last then na else posThree1;

def negThree3 = CompoundValue(1, if IsNaN(negThree33) then negThree3[1] else negThree1, negThree1);
def negTwo3   = CompoundValue(1, if IsNaN(negTwo33)   then negTwo3[1]   else negTwo1, negTwo1);
def negOne3   = CompoundValue(1, if IsNaN(negOne33)   then negOne3[1]   else negOne1, negOne1);
def zero3     = CompoundValue(1, if IsNaN(zero33)     then zero3[1]     else zero1, zero1);
def posOne3   = CompoundValue(1, if IsNaN(posOne33)   then posOne3[1]   else posOne1, posOne1);
def posTwo3   = CompoundValue(1, if IsNaN(posTwo33)   then posTwo3[1]   else posTwo1, posTwo1);
def posThree3 = CompoundValue(1, if IsNaN(posThree33) then posThree3[1] else posThree1, posThree1);


plot negThree_3 = if !last or last[n] then na else negThree3;
plot negTwo_3   = if !last or last[n] then na else negTwo3;
plot negOne_3   = if !last or last[n] then na else negOne3;
plot zero_3     = if !last or last[n] then na else zero3;
plot posOne_3   = if !last or last[n] then na else posOne3;
plot posTwo_3   = if !last or last[n] then na else posTwo3;
plot posThree_3 = if !last or last[n] then na else posThree3;

negThree_3.AssignValueColor(if negThree[n] then Color.RED else Color.GRAY);
negTwo_3.AssignValueColor(if negTwo[n] then Color.YELLOW else Color.GRAY);
negOne_3.AssignValueColor(if negOne[n] then Color.GREEN else Color.GRAY);
zero_3.AssignValueColor(if zero[n] then Color.GREEN else Color.GRAY);
posone_3.AssignValueColor(if posone[n] then Color.GREEN else Color.GRAY);
postwo_3.AssignValueColor(if postwo[n] then Color.YELLOW else Color.GRAY);
posthree_3.AssignValueColor(if posthree[n] then Color.RED else Color.GRAY);

negThree_3.SetHiding(!propLines);
negTwo_3.SetHiding(!propLines);
negOne_3.SetHiding(!propLines);
zero_3.SetHiding(!propLines);
posone_3.SetHiding(!propLines);
postwo_3.SetHiding(!propLines);
posthree_3.SetHiding(!propLines);
#-- Label

Addlabel(showLabel, "(0.13%) $" + Round(negThree1,2), if negThree then Color.RED else Color.DARK_RED);
Addlabel(showLabel, "(2.28%) $" + Round(negTwo1,2), if negTwo then Color.YELLOW else CreateColor(78,78,0));
Addlabel(showLabel, "(16.0%) $" + Round(negOne1,2), if negOne then Color.GREEN else Color.DARK_GREEN);
Addlabel(showLabel, "(50.0%) $" + Round(zero1,2), if zero then Color.GREEN else Color.DARK_GREEN);
Addlabel(showLabel, "(85.0%) $" + Round(posOne1,2), if posOne then Color.GREEN else Color.DARK_GREEN);
Addlabel(showLabel, "(98.0%) $" + Round(posTwo1,2), if posTwo then Color.YELLOW else CreateColor(78,78,0));
Addlabel(showLabel, "(99.9%) $" + Round(posThree1,2), if posThree then Color.RED else Color.DARK_RED);

# -- Bubbles
AddChartBubble(negThree_3 and negThree_3[n-1] and propBubbles, negThree_3 ,round(negThree1[n],2),
              if negThree[n] then Color.RED else Color.GRAY, yes);
AddChartBubble(negTwo_3   and negTwo_3[n-1]  and propBubbles, negTwo_3   ,round(negTwo1[n],2),
              if negTwo[n] then Color.YELLOW else Color.GRAY, yes);
AddChartBubble(negOne_3   and negOne_3[n-1]  and propBubbles, negOne_3   ,round(negOne1[n],2),
              if negOne[n] then Color.GREEN else color.GRAY, yes);
AddChartBubble(zero_3     and zero_3[n-1]    and propBubbles, zero_3     ,round(zero1[n],2),
              if zero[n] then Color.GREEN else Color.GRAY, yes);
AddChartBubble(posOne_3   and posOne_3[n-1]  and propBubbles, posOne_3   ,round(posOne1[n],2),
              if posOne[n] then Color.GREEN else Color.GRAY, yes);
AddChartBubble(posTwo_3   and posTwo_3[n-1]  and propBubbles, posTwo_3   ,round(posTwo1[n],2),
              if posTwo[n] then Color.YELLOW else Color.GRAY, yes);
AddChartBubble(posThree_3 and posThree_3[n-1] and propBubbles, posThree_3 ,round(posThree1[n],2),
              if posThree[n] then Color.RED else Color.GRAY, yes);

#-- Clouds
#HighlightLevels
AddCloud(if !HighlightLevels then na else three22, two22, Color.DARK_RED);
AddCloud(if !HighlightLevels then na else two22, one22, CreateColor(78,78,0));
AddCloud(if !HighlightLevels then na else one22, negOne22, Color.DARK_GRAY);
AddCloud(if !HighlightLevels then na else negOne22, negTwo22, CreateColor(78,78,0));
AddCloud(if !HighlightLevels then na else negTwo22, negThree22, Color.DARK_RED);

AddCloud(if !HighlightLevels then na else three_22, two_22, Color.DARK_RED);
AddCloud(if !HighlightLevels then na else two_22, posOne_22, CreateColor(78,78,0));
AddCloud(if !HighlightLevels then na else posOne_22, negOne_22, Color.DARK_GRAY);
AddCloud(if !HighlightLevels then na else negOne_22, negTwo_22, CreateColor(78,78,0));
AddCloud(if !HighlightLevels then na else negTwo_22, negThree_22, Color.DARK_RED);

#-- Signals
def zRising  = z >= highest(average(z, 5), 5);
def zFalling = z <= lowest(average(z, 5), 5);

def sigUp = (source crosses above zsma) and zRising and z>0.5;
def sigDn = (source crosses below zsma) and zFalling and z<-0.5;

AddChartBubble(ShowSignals and sigUp, low, "Buy", Color.GREEN, no);
AddChartBubble(ShowSignals and sigDn, high, "Sell", Color.RED, yes);

#END of CODE

LOWER CODE:

CSS:
#// © Steversteves
#indicator("Z-Score Probability Indicator")
#t1 = "Determines the Length of Z-Score Assessment. Defaults to a 75 lookback period"
#t2 = "Determines the length of the SMA if the user selects Show SMA. Default is 75, but for a more responsive SMA you can reduce it to 14. Optional."
#Converted by sam4Cok@Samer800    - 06/2023

declare lower;
input priceBubbleLocatation = 5;
input LookbackLength  = 75;         # "Lookback Length" tip: t1
input smaLength       = 14;         # "SMA Length"      tip: t2
input ShowPriceBubble = yes;        # "Distribution Probaiblity Price"
input showLabel       = yes;        # "Show Z-Table"
input showSmaLine     = yes;        # "Show SMA"

def na = Double.NaN;
def last = isNaN(close);
def n = priceBubbleLocatation;
def bar_index = AbsValue(CompoundValue(1, BarNumber(), 0));
def loc = ShowPriceBubble and last[n] and !last[n+1];


def cl_sma = Average(close, LookbackLength);
def cl_sd = StDev(close, LookbackLength);
def z = (close - cl_sma) / cl_sd;
def zsma = Average(z, smaLength);
def z_sma = if showSmaLine then zsma else na;

#// Logical Assessments ///

def zero_one = z >= 0 and z < 1;
def two_three = z >= 2 and z < 3.01;
def three = z >= 3;
def zero = z >= 0.99 and z <= -0.99;
def neg_zero_one = z < 0 and z > -1;
def neg_two_three = z <= -2 and z > -3;
def neg_three = z <= -3;
#def falling = z_sma < lowest(z_sma, 3);
def rising = z_sma >= highest(z_sma, smaLength);

#/// Plots ///
plot sma_Z = z_sma;    # "Z-SMA"
plot Z_Score = z;      # "Z-Score"
Z_Score.AssignValueColor(if z>0 then Color.GREEN else Color.RED);
sma_Z.AssignValueColor(if rising then Color.CYAN else Color.MAGENTA);
sma_Z.SetLineWeight(2);

def neutral = 0;
def onesd = 1;
def twosd = 2;
def threesd = 3;
def neg_onesd = -1;
def neg_twosd = -2;
def neg_threesd = -3;

AddCloud(Z_Score, neutral, Color.GREEN, Color.RED);
AddCloud(Z_Score, neutral, Color.GREEN, Color.RED);
AddCloud(Z_Score, neutral, Color.GREEN, Color.RED);
AddCloud(Z_Score, neutral, Color.GREEN, Color.RED);
AddCloud(Z_Score, neutral, Color.GREEN, Color.RED);
AddCloud(Z_Score, neutral, Color.GREEN, Color.RED);
AddCloud(Z_Score, neutral, Color.GREEN, Color.RED);

AddCloud(if last then na else threesd, twosd        , Color.DARK_RED);
AddCloud(if last then na else twosd, onesd          , CreateColor(157,157,0));
AddCloud(if last then na else onesd, neg_onesd      , Color.DARK_GREEN);
AddCloud(if last then na else neg_onesd, neg_twosd  , CreateColor(157,157,0));
AddCloud(if last then na else neg_twosd, neg_threesd, Color.DARK_RED);

#/// Price Level Calculations ///
def neutral_price = (cl_sma) + (0 * cl_sd);
def onesd_price = (cl_sma) + (1 * cl_sd);
def twosd_price = (cl_sma) + (2 * cl_sd);
def threesd_price = (cl_sma) + (3 * cl_sd);
def neg_onesd_price = (cl_sma) + (-1 * cl_sd);
def neg_twosd_price = (cl_sma) + (-2 * cl_sd);
def neg_threesd_price = (cl_sma) + (-3 * cl_sd);

def zero1;
def one;
def two;
def three1;
def negOne;
def negTwo;
def negThree;

if bar_index >= 75 {
    zero1 = neutral_price;
    one = onesd_price;
    two = twosd_price;
    three1 = threesd_price;
    negOne = neg_onesd_price;
    negTwo = neg_twosd_price;
    negThree = neg_threesd_price;
    } else {
    zero1 = na;
    one = na;
    two = na;
    three1 = na;
    negOne = na;
    negTwo = na;
    negThree = na;
}

AddChartBubble(loc, neutral  , round(zero1[n+1],2), if zero[n+1] then Color.WHITE else Color.DARK_GRAY, yes);
AddChartBubble(loc, onesd    , round(one[n+1],2), if zero_one[n+1] then Color.WHITE else Color.DARK_GRAY, yes);
AddChartBubble(loc, twosd    , round(two[n+1],2), if two_three[n+1] then Color.WHITE else Color.DARK_GRAY, yes);
AddChartBubble(loc, threesd  , round(three1[n+1],2), if three[n+1] then Color.WHITE else Color.DARK_GRAY, yes);
AddChartBubble(loc, neg_onesd, round(negOne[n+1],2), if neg_zero_one[n+1] then Color.WHITE else Color.DARK_GRAY, yes);
AddChartBubble(loc, neg_twosd, round(negTwo[n+1],2), if neg_two_three[n+1] then Color.WHITE else Color.DARK_GRAY, yes);
AddChartBubble(loc, neg_threesd, round(negThree[n+1],2), if neg_three[n+1] then Color.WHITE else Color.DARK_GRAY, yes);

#-- Label

Addlabel(showLabel, "(0.13%) $" + round(negThree,2), if neg_three then Color.RED else Color.DARK_RED);
Addlabel(showLabel, "(2.28%) $" + round(negTwo,2), if neg_two_three then Color.YELLOW else CreateColor(78,78,0));
Addlabel(showLabel, "(16.0%) $" + round(negOne,2), if neg_zero_one then Color.GREEN else Color.DARK_GREEN);
Addlabel(showLabel, "(50.0%) $" + round(zero1,2), if zero then Color.GREEN else Color.DARK_GREEN);
Addlabel(showLabel, "(85.0%) $" + round(one,2), if zero_one then Color.GREEN else Color.DARK_GREEN);
Addlabel(showLabel, "(98.0%) $" + round(two,2), if two_three then Color.YELLOW else CreateColor(78,78,0));
Addlabel(showLabel, "(99.9%) $" + round(three1,2), if three then Color.RED else Color.DARK_RED);


#END of CODE
How do you enter and exit?
 
Being that the underlying is not normally distributed (they very rarely exist with financial time series univariate data) the z score doesn’t really tell you much. Furthermore the underlying is non stationary so this study isn’t really accurate.
 
Does this indicator repaint?
Repainter Threads have a prefix of Repaints.

I don't see anything in the code which would cause you to question repainting, but continue to check it in live trading. Come back and relay your experience.
 
Being that the underlying is not normally distributed (they very rarely exist with financial time series univariate data) the z score doesn’t really tell you much. Furthermore the underlying is non stationary so this study isn’t really accurate.
@bigworm Leave it to a statistical wizard... Please do all a favor and in your opinion, what would make it "more accurate"? What if you threw some of Mobius' Gaussian stuff at it, like in the later RSI Laguerre's?
 
@bigworm Leave it to a statistical wizard... Please do all a favor and in your opinion, what would make it "more accurate"? What if you threw some of Mobius' Gaussian stuff at it, like in the later RSI Laguerre's?
Gaussian smoothing will not make it normal it just filters noise. Rsi Laguerre is not good it only
Changes mostly from the lookback length. It depends what you’re looking for. Pivot points?
 
Gaussian smoothing will not make it normal it just filters noise. Rsi Laguerre is not good it only
Changes mostly from the lookback length. It depends what you’re looking for. Pivot points?
Just making Z score more reliable, in your learned opinion...
 
Just making Z score more reliable, in your learned opinion...
You would have to convert the underlying into something that’s stationary. Log returns is good but then you’re really just saying todays return was different than some average long run change. These will change also with structure breaks in the underlying. Could be an added dimension in a larger model.
 
Hi , can you pls suggest what is the violet curve and uptrend arrow.
the arrow is the buy bubble in the upper chart from the top post
the line plot is the zscore ma, same as the line plot in the upper chart from post#1

Nothing was changed. Just simplified it to work in the scanner:
https://usethinkscript.com/threads/z-score-probability-indicator-for-thinkorswim.15768/#post-127656
Ruby:
# creatred by Sam4Cok@Samer800 based on © Steversteves code
#https://www.tradingview.com/v/zrc6tWT4/
#// © Steversteves
#indicator("Z-Score Probability Indicator")

input source = close;
input LookbackLength     = 75;         # "Lookback Length"
input chartStyle         = {default "Levels", "Band", "Levels & Band", "Don't Show"};
input showMovAvgLine     = yes;        # "Show SMA"
input movAvgType         = {default SMA, EMA, WMA, HullMA, VWMA, RMA, TEMA};
input movAvgLength       = 14;         # "SMA Length"

def na = Double.NaN;
def last = IsNaN(close);
def lines = chartStyle == chartStyle."Levels" or chartStyle == chartStyle."Levels & Band";
def band  = chartStyle == chartStyle."Band" or chartStyle == chartStyle."Levels & Band";

script get_ma {
    input ma_type = "TEMA";
    input src = close;
    input len = 100;
    def hullma = HullMovingAvg(src, len);
    def vwma = Average(src * volume, len) / Average(volume, len);
    def ema1 = ExpAverage(src, len);
    def ema2 = ExpAverage(ema1, len);
    def ema3 = ExpAverage(ema2, len);
    def tema = 3 * (ema1 - ema2) + ema3;
    def ma = if ma_type == "SMA" then Average(src, len) else
        if ma_type == "EMA" then ExpAverage(src, len)   else
            if ma_type == "WMA" then WMA(src, len) else
                if ma_type == "HullMA" then hullma else
                    if ma_type == "VWMA" then vwma else
                        if ma_type == "RMA" then WildersAverage(src, len) else tema;
    plot out = ma;
}
def cl_sma = Average(source, LookbackLength);
def cl_sd = StDev(source, LookbackLength);
def z = (source - cl_sma) / cl_sd;

#// Logical Assessments ///
def "0"  = 0;
def "1"  = 1;
def "2"  = 2;
def "3"  = 3;
def "-1" = -1;
def "-2" = -2;
def "-3" = -3;

def negThree = z < "-3";
def negTwo   = z <= "-2" and z >= "-3";
def negOne   = z <  "0" and z > "-1";
def zero     = z >= "1" and z <= "-1";
def posOne   = z >= "0" and z < "1";
def posTwo   = z >= "2" and z <= "3";
def posThree = z > "3";

#/// Price Level Calculations ///
def bar_index = AbsValue(CompoundValue(1, BarNumber(), 0));
#def loc = ShowPriceProbaiblity and last and !last[1];
def neutral_price = (cl_sma) + ("0" * cl_sd);
def onesd_price = (cl_sma) + ("1" * cl_sd);
def twosd_price = (cl_sma) + ("2" * cl_sd);
def threesd_price = (cl_sma) + ("3" * cl_sd);
def neg_onesd_price = (cl_sma) + ("-1" * cl_sd);
def neg_twosd_price = (cl_sma) + ("-2" * cl_sd);
def neg_threesd_price = (cl_sma) + ("-3" * cl_sd);

def zero1;
def posOne1;
def posTwo1;
def posThree1;
def negOne1;
def negTwo1;
def negThree1;

if bar_index >= LookbackLength {
    negThree1 = neg_threesd_price;
    negTwo1   = neg_twosd_price;
    negOne1   = neg_onesd_price;
    zero1     = neutral_price;
    posOne1   = onesd_price;
    posTwo1   = twosd_price;
    posThree1 = threesd_price;
} else {
    zero1     = na;
    posOne1   = na;
    posTwo1   = na;
    posThree1 = na;
    negOne1   = na;
    negTwo1   = na;
    negThree1 = na;
}
plot zsma = get_ma(movAvgType, zero1, movAvgLength);
zsma.SetStyle(curve.SHORT_DASH);
zsma.SetDefaultColor(color.red);
def z_sma = if showMovAvgLine then zsma else na;
def falling = zsma <= Lowest(zsma, 3);
def rising  = zsma >= Highest(zsma, 3);

#-- Signals
def zRising  = z >= Highest(Average(z, 5), 5);
def zFalling = z <= Lowest(Average(z, 5), 5);
def sigUp = (source crosses above zsma) and zRising and z > 0.5;
#plot sigDn = (source crosses below zsma) and zFalling and z<-0.5;

plot scan = sigUp  ;
scan.SetLineWeight(1);
scan.SetDefaultColor(Color.CYAN);
scan.SetPaintingStrategy(PaintingStrategy.BOOLEAN_ARROW_UP);
scan.HideBubble() ;
scan.HideTitle() ;
 
the arrow is the buy bubble in the upper chart from the top post
the line plot is the zscore ma, same as the line plot in the upper chart from post#1

Nothing was changed. Just simplified it to work in the scanner:
https://usethinkscript.com/threads/z-score-probability-indicator-for-thinkorswim.15768/#post-127656
Ruby:
# creatred by Sam4Cok@Samer800 based on © Steversteves code
#https://www.tradingview.com/v/zrc6tWT4/
#// © Steversteves
#indicator("Z-Score Probability Indicator")

input source = close;
input LookbackLength     = 75;         # "Lookback Length"
input chartStyle         = {default "Levels", "Band", "Levels & Band", "Don't Show"};
input showMovAvgLine     = yes;        # "Show SMA"
input movAvgType         = {default SMA, EMA, WMA, HullMA, VWMA, RMA, TEMA};
input movAvgLength       = 14;         # "SMA Length"

def na = Double.NaN;
def last = IsNaN(close);
def lines = chartStyle == chartStyle."Levels" or chartStyle == chartStyle."Levels & Band";
def band  = chartStyle == chartStyle."Band" or chartStyle == chartStyle."Levels & Band";

script get_ma {
    input ma_type = "TEMA";
    input src = close;
    input len = 100;
    def hullma = HullMovingAvg(src, len);
    def vwma = Average(src * volume, len) / Average(volume, len);
    def ema1 = ExpAverage(src, len);
    def ema2 = ExpAverage(ema1, len);
    def ema3 = ExpAverage(ema2, len);
    def tema = 3 * (ema1 - ema2) + ema3;
    def ma = if ma_type == "SMA" then Average(src, len) else
        if ma_type == "EMA" then ExpAverage(src, len)   else
            if ma_type == "WMA" then WMA(src, len) else
                if ma_type == "HullMA" then hullma else
                    if ma_type == "VWMA" then vwma else
                        if ma_type == "RMA" then WildersAverage(src, len) else tema;
    plot out = ma;
}
def cl_sma = Average(source, LookbackLength);
def cl_sd = StDev(source, LookbackLength);
def z = (source - cl_sma) / cl_sd;

#// Logical Assessments ///
def "0"  = 0;
def "1"  = 1;
def "2"  = 2;
def "3"  = 3;
def "-1" = -1;
def "-2" = -2;
def "-3" = -3;

def negThree = z < "-3";
def negTwo   = z <= "-2" and z >= "-3";
def negOne   = z <  "0" and z > "-1";
def zero     = z >= "1" and z <= "-1";
def posOne   = z >= "0" and z < "1";
def posTwo   = z >= "2" and z <= "3";
def posThree = z > "3";

#/// Price Level Calculations ///
def bar_index = AbsValue(CompoundValue(1, BarNumber(), 0));
#def loc = ShowPriceProbaiblity and last and !last[1];
def neutral_price = (cl_sma) + ("0" * cl_sd);
def onesd_price = (cl_sma) + ("1" * cl_sd);
def twosd_price = (cl_sma) + ("2" * cl_sd);
def threesd_price = (cl_sma) + ("3" * cl_sd);
def neg_onesd_price = (cl_sma) + ("-1" * cl_sd);
def neg_twosd_price = (cl_sma) + ("-2" * cl_sd);
def neg_threesd_price = (cl_sma) + ("-3" * cl_sd);

def zero1;
def posOne1;
def posTwo1;
def posThree1;
def negOne1;
def negTwo1;
def negThree1;

if bar_index >= LookbackLength {
    negThree1 = neg_threesd_price;
    negTwo1   = neg_twosd_price;
    negOne1   = neg_onesd_price;
    zero1     = neutral_price;
    posOne1   = onesd_price;
    posTwo1   = twosd_price;
    posThree1 = threesd_price;
} else {
    zero1     = na;
    posOne1   = na;
    posTwo1   = na;
    posThree1 = na;
    negOne1   = na;
    negTwo1   = na;
    negThree1 = na;
}
plot zsma = get_ma(movAvgType, zero1, movAvgLength);
zsma.SetStyle(curve.SHORT_DASH);
zsma.SetDefaultColor(color.red);
def z_sma = if showMovAvgLine then zsma else na;
def falling = zsma <= Lowest(zsma, 3);
def rising  = zsma >= Highest(zsma, 3);

#-- Signals
def zRising  = z >= Highest(Average(z, 5), 5);
def zFalling = z <= Lowest(Average(z, 5), 5);
def sigUp = (source crosses above zsma) and zRising and z > 0.5;
#plot sigDn = (source crosses below zsma) and zFalling and z<-0.5;

plot scan = sigUp  ;
scan.SetLineWeight(1);
scan.SetDefaultColor(Color.CYAN);
scan.SetPaintingStrategy(PaintingStrategy.BOOLEAN_ARROW_UP);
scan.HideBubble() ;
scan.HideTitle() ;
Thanks a lot for your quick response.
 
Thank you @samer800 for this script and @MerryDay for this thread on how to make labels https://usethinkscript.com/threads/rsi-format-label-watchlist-scan-for-thinkorswim.798/. I wanted to know the Z Score and if it was above below the SMA without showing the lower indicator to save room. I inactivated all plots by placing a # in front of those lines. Result is three labels on upper chart. Below is the code to add to bottom of original script above.

# ------------------------------------ Add Label ------------------------------------

# ########################################################

DefineGlobalColor("maxxed", CreateColor(50, 200, 255)) ;
DefineGlobalColor("rising", CreateColor(0, 165, 0)) ;
DefineGlobalColor("cellar", CreateColor(225, 0, 0)) ;
DefineGlobalColor("falling", CreateColor (200, 125, 255)) ;

input show_labels = yes ;

AddLabel(show_labels,
if three then "Z Maxxed" else
if neg_three then "Z Cellar" else
if z > z[1] then "rising " + Round(z, 2)
else "FALLING " + Round(z, 2) ,
if three then GlobalColor("maxxed") else
if neg_three then GlobalColor("cellar") else
if z > z[1] then GlobalColor("rising")
else GlobalColor("falling"));

#---------------------------------------- Z Score over/under SMA ----------------------

AddLabel(yes, "Z > SMA ", if Z > z_sma then Color.GREEN else color.GRAY);

AddLabel(yes, "Z < SMA", if Z < z_sma then Color.RED else color.GRAY);


Result
1689811737485.png
 
Z-Score Probability Indicator Scan
Shared Scanner Link: http://tos.mx/7KEVv9q Click here for --> Easiest way to load shared links
qjRa679.png


Ruby:
# Z-Score Probability Indicator Scan ONLY
# creatred by Sam4Cok@Samer800 based on © Steversteves code
#https://www.tradingview.com/v/zrc6tWT4/
#// © Steversteves
#indicator("Z-Score Probability Indicator")

input source = close;
input LookbackLength     = 75;         # "Lookback Length"
input chartStyle         = {Default "Levels", "Band", "Levels & Band", "Don't Show"};
input showMovAvgLine     = yes;        # "Show SMA"
input movAvgType         = {default SMA, EMA, WMA, HullMA, VWMA, RMA, TEMA};
input movAvgLength       = 14;         # "SMA Length"

def na = Double.NaN;
def last = isNaN(close);
def lines = chartStyle==chartStyle."Levels" or chartStyle==chartStyle."Levels & Band";
def band  = chartStyle==chartStyle."Band" or chartStyle==chartStyle."Levels & Band";

script get_ma {
    input ma_type = "TEMA";
    input src = close;
    input len = 100;
    def hullma = HullMovingAvg(src, len);
    def vwma = Average(src * volume, len) / Average(volume, len);
    def ema1 = ExpAverage(src, len);
    def ema2 = ExpAverage(ema1, len);
    def ema3 = ExpAverage(ema2, len);
    def tema = 3 * (ema1 - ema2) + ema3;
    def ma = if ma_type == "SMA" then Average(src, len) else
        if ma_type == "EMA" then ExpAverage(src, len)   else
            if ma_type == "WMA" then WMA(src, len) else
                if ma_type == "HullMA" then hullma else
                    if ma_type == "VWMA" then vwma else
                        if ma_type == "RMA" then WildersAverage(src, len) else tema;
    plot out = ma;
}
def cl_sma = Average(source, LookbackLength);
def cl_sd = StDev(source, LookbackLength);
def z = (source - cl_sma) / cl_sd;

#// Logical Assessments ///
def "0"  = 0;
def "1"  = 1;
def "2"  = 2;
def "3"  = 3;
def "-1" = -1;
def "-2" = -2;
def "-3" = -3;

def negThree = z < "-3";
def negTwo   = z <= "-2" and z >= "-3";
def negOne   = z <  "0" and z > "-1";
def zero     = z >= "1" and z <= "-1";
def posOne   = z >= "0" and z < "1";
def posTwo   = z >= "2" and z <= "3";
def posThree = z > "3";

#/// Price Level Calculations ///
def bar_index = AbsValue(CompoundValue(1, BarNumber(), 0));
#def loc = ShowPriceProbaiblity and last and !last[1];
def neutral_price = (cl_sma) + ("0" * cl_sd);
def onesd_price = (cl_sma) + ("1" * cl_sd);
def twosd_price = (cl_sma) + ("2" * cl_sd);
def threesd_price = (cl_sma) + ("3" * cl_sd);
def neg_onesd_price = (cl_sma) + ("-1" * cl_sd);
def neg_twosd_price = (cl_sma) + ("-2" * cl_sd);
def neg_threesd_price = (cl_sma) + ("-3" * cl_sd);

def zero1;
def posOne1;
def posTwo1;
def posThree1;
def negOne1;
def negTwo1;
def negThree1;

if bar_index >= LookbackLength {
    negThree1 = neg_threesd_price;
    negTwo1   = neg_twosd_price;
    negOne1   = neg_onesd_price;
    zero1     = neutral_price;
    posOne1   = onesd_price;
    posTwo1   = twosd_price;
    posThree1 = threesd_price;
    } else {
    zero1     = na;
    posOne1   = na;
    posTwo1   = na;
    posThree1 = na;
    negOne1   = na;
    negTwo1   = na;
    negThree1 = na;
}
def zsma = get_ma(movAvgType, zero1, movAvgLength);
def z_sma = if showMovAvgLine then zsma else na;
def falling = zsma <= lowest(zsma, 3);
def rising  = zsma >= highest(zsma,3);

#-- Signals
def zRising  = z >= highest(average(z, 5), 5);
def zFalling = z <= lowest(average(z, 5), 5);

plot sigUp = (source crosses above zsma) and zRising and z>0.5;
#plot sigDn = (source crosses below zsma) and zFalling and z<-0.5;
Looks like a good scan. I tried to change the parameters to a shorter time frame to allow for intra day trading but it wouldn't let me alter the script. How would you suggest if I changed to a 15 minute or so timeframe? But if you think it doesn't make any sense, please comment. Thanks
 

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