Japanese Correlation CoefficientIntroduction
This indicator was asked and named by a trading meetup participant in Sevilla. The original question was "How to estimate the correlation between the price and a line as easy as possible", a question who got little attention. I previously proposed a correlation estimate using a modification of the standard score (see at the end of the post) for the estimation of a Savitzky-Golay moving average (LSMA) of order 1, however something faster could maybe be done and this is why i accepted the challenge.
Japanese Correlation
Correlation is defined as the linear relationship between two variables x and y , if x and y follow the same direction then the correlation increase else decrease. The correlation coefficient is always equal or below 1 and equal or above -1, it also have to be taken into account that this coefficient is quite smooth. Smoothing is not a problem, scaling however require more attention, high price > closing price > low price, therefore scaling can be done. First we smooth the closing/high/low price with a simple moving average of period p/2 , then we take the difference of the smoothed close with the smoothed close p/2 bars back, this result is then divided by the difference between the highest smoothed high's with the lowest smoothed low's over period p/2 .
Since we use information provided by candlesticks (close/high/low) i have been asked to publish this estimator with the name Japanese correlation coefficient , this name don't imply the use of data from Japanese markets, "Japanese" is used because of the candlestick method coming from Japan.
Comparison
I compare this estimation with the correlation coefficient provided in pinescript by the correlation function.
The estimation in orange with the original correlation coefficient using n as independent variable in blue with both length = 50.
comparison with length = 200.
Conclusion
I have shown that it is possible to roughly estimate the correlation coefficient between price and a linear function by using different price information. Correlation can be further estimated by using homogeneous bridge OHLC volatility estimators thus making able the use of different independent variables. I really hope you like this indicator and thanks to the meetup participant asking the question, i had a lot of fun making the indicator.
An alternative method
RENDAH
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@Zekis
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I have shown examples of when the indicator was showing low volatility, take note of what the price action and the width of the Bollinger Bands are doing.
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English:
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Deutsch:
Dieser Indikator zeigt das Aufwärts- (grün) und Abwärts-Volumen (rot) der AMEX.
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English:
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Deutsch:
Dieser Indikator zeigt die neuen Hochs (grün) und neuen Tiefs (rot) der NASDAQ.
Extreme Handelstage mit mehr als 99 % neuen Hochs relativ zu den neuen Tiefs und andersherum sind gekennzeichnet über Linien (theoretische Werte) und Dreiecke (Überschreitungen).
New Highs-Lows NYSE-Buschi
English:
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Extreme trading days with more than 99 % new highs relative to new lows vice versa are marked via lines (theoretically values) and triangles (breaches).
Deutsch:
Dieser Indikator zeigt die neuen Hochs (grün) und neuen Tiefs (rot) der NYSE.
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