The Z-score or standard score is a numerical measurement of a value’s relationship to the arithemic mean of the data set. The Z-score is the signed number of standard deviations by which the current value of a data point is above the mean value or below the mean value as calculated for the selected lookback period.
For a normally distributed sample 95.8% of the z-scores of all data points fall within the range [-2, +2]. A Z-score of 0 indicates that the data point is identical with the arithmetic mean of the data set.
The Z-score is a normalized oscillator that can be used to identify extreme readings of the input series. The Z-score is calculated by dividing the absolute difference between a data point and the arithmetic mean by the standard deviation.
One of the main applications of the Z-score is that it can be used to normalize any oscillator. For example, the MACD is a non-normalized oscillator which does not pass the c-test introduced by William Eckhardt. However, when the Z-score is used to normalize the MACD, the resulting oscillator uses a normalized scale and will pass the c-test. The normalized MACD is obtained, when the MACD is used as the input series for the Z-score.
The ZerolagHATEMA and ZerolagTEMA were presented by Sylvain Vervoort in “THE QUEST FOR RELIABLE CROSSOVERS” Technical Analysis of Stocks & Commodities, May 2008. The Zerolag HATEMA is based on a TEMA that uses Heikin-Ashi candles as input series. In a second step Sylvain Vervoort applied zero-lag techniques to the HATEMA to compensate for its lag. For further details, please read the article by Sylvain Vervoort.
This indicator does not depend on the selected input series, as it uses open, high, low and close of each candle. As a consequence this indicator may not be used with any other input series than price.
The Zerolag TEMA and Zerolag HATEMA were presented by Sylvain Vervoort in “THE QUEST FOR RELIABLE CROSSOVERS” Technical Analysis of Stocks & Commodities, May 2008. The Zerolag TEMA is a version of the triple smoothed moving average which is less smooth, but more responsive to market movements. For further details read article by Sylvain Vervoort.
Sylvain Vervoort suggested to use the typical price as input series for the Zerolag TEMA. I have not hardcoded the typical price as input series. Please select the typical price as input series via the indicator dialogue box.
The ZeroLagHATEMA is a Heikin-Ashi smoothed zerolagging moving average, which was presented by Sylvain Vervoort in the May 2008 edition of the TASC (Technical Analysis of Stocks and Commodities) magazine.
The original version of this indicator was coded for the Trader's Tips of TASC and is available as a NinjaTrader download.
This is an updated version for NT 7.0, which has a bug of the original indicator removed.