Standard Error Percent Average

Standard Error Percent Average is part of Standard Error Bands by Jon Anderson, Stocks and Commodities Mag. 09/1996. This study should be used with R Squared, Linear Regression Slope and Bollinger Bands®. The user may change the input (close) and period lengths. This indicator’s definition is further expressed in the condensed code given in the calculation below.

How To Trade Using Standard Error Percent Average

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Go to the top menu, choose Study>Oscillators>Standard Error PerCent Average

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Calculation

//input = price, user defined, default is close
//period = user defined, default is 21
//sDegPeriod = user defined, default is 3
//av = average, index = current bar number
//sma = simple moving average
//y = value on the price axis, x = value on the time axis (bar number)

inputV = price[index];
ret[] = sumMore(index, period, input);
sumV = ret[0];  //v = value user input usually close
sumV2 = ret[1];  //sum of value squared
sumVx = ret[2];  //sum of value * x
sumX2 = ret[3]; //sum of x squared
avX = ret[4];
avV = ret[5];
sdEr = 0.0;
numB = sumVx - (period * avX * avV);
denB = sumX2 - (period * avX * avX);
calcB = numB / denB;
calcA = avV - (calcB * avX);
value1 = sumV2 - (calcA * sumV ) - (calcB * sumVx);
value2 = period - 2;
value3 = value1 / value2;
sdEr = sdEr[1]; sumVx = ret[2];  //default value * x
lin[] = linRegLine(sDegPeriod, input, 0);
linRegY = lin[0];   //y value at position 0
if (value3 moreThan 0) sdEr = sqrt(value3);
linRegS = sma(index, sDegPeriod, linRegY);
sErr = 2 * sma(index, sDegPeriod, sdEr);
Plot: PA = (inputV - (linRegS-sErr)) / ((linRegS+sErr) - (linRegS-sErr)) * 100;