Normalized Z-Score

The Normalized Z-Score indicator is designed to help traders identify overbought or oversold conditions in a security's price. This indicator can provide valuable signals for potential buy or sell opportunities by analyzing price deviations from their average values.

How It Works:
-- Z-Score Calculation:
---- The indicator calculates the Z-Score for both high and low prices over a user-defined period (default is 14 periods).
---- The Z-Score measures how far a price deviates from its average in terms of standard deviations.

-- Average Z-Score:
---- The average Z-Score is derived by taking the mean of the high and low Z-Scores.

-- Normalization:
---- The average Z-Score is then normalized to a range between -1 and 1. This helps in standardizing the indicator's values, making it easier to interpret.

-- Signal Line:
---- A signal line, which is the simple moving average (SMA) of the normalized Z-Score, is calculated to smooth out the data and highlight trends.

-- Color-Coding:
---- The signal line changes color based on its value: green when it is positive (indicating a potential buy signal) and red when it is negative (indicating a potential sell signal). This coloration is also used for the candle/bar coloration.

How to Use It:
-- Adding the Indicator:
---- Add the Normalized Z-Score indicator to your TradingView chart. It will appear in a separate pane below the price chart.

-- Interpreting the Histogram:
---- The histogram represents the normalized Z-Score. High positive values suggest overbought conditions, while low negative values suggest oversold conditions.

-- Using the Signal Line:
---- The signal line helps to confirm the conditions indicated by the histogram. A green signal line suggests a potential buying opportunity, while a red signal line suggests a potential selling opportunity.

-- Adjusting the Period:
---- You can adjust the period for the Z-Score calculation to suit your trading strategy. The default period is 14, but you can change this based on your preference.

Example Scenario:
-- Overbought Condition: If the histogram shows a high positive value and the signal line is green, the security may be overbought. This could indicate that it is a good time to consider selling.
-- Oversold Condition: If the histogram shows a low negative value and the signal line is red, the security may be oversold. This could indicate that it is a good time to consider buying.

By using the Normalized Z-Score indicator, traders can gain insights into price deviations and potential market reversals, aiding in making more informed trading decisions.