This enhanced RSI script, titled "RSI +", is designed to provide traders with more detailed and nuanced information about market conditions.

// INPUTS
The length input allows you to specify the number of periods used in the RSI calculation, with a default value of 14.
The Source input designates the price used for the calculations, typically the closing price.

// CALCULATIONS + PLOTTING
The RSI itself is then calculated as 50 plus 50 times the ratio of two RMAs (Running Moving Averages) - one of the gain_loss, and another of the absolute value of gain_loss. Both RMAs use the specified length.
This script also plots several horizontal lines (bands) at fixed levels: 70, 60, 50, 40, and 30. These bands help to visually delineate areas of potential overbought (above 70) and oversold (below 30) conditions, as well as median levels. The color of the plotted RSI line changes depending on its relation to these bands and its own simple moving average (Moving_Average), providing an additional visual cue.

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What sets this script apart from a standard RSI is its unique calculation method. Unlike the traditional RSI, which simply compares the magnitude of recent gains to recent losses, this script incorporates a normalization factor (norm), calculated as the average of the current and previous period's source prices. The gain or loss (gain_loss) is then determined by dividing the change in the source price by this normalization factor. This method can potentially reduce noise and improve accuracy.

Always remember, though, that no indicator should be used in isolation. The best results are often achieved when they're used as part of a comprehensive trading strategy that considers multiple aspects of market analysis. This script, with its unique enhancements, could be used with other technical indicators like Moving Averages to ascertain the direction of the prevailing trend, while volume-based indicators like Volume-Weighted Average Price (VWAP) could provide insights into the strength behind price movements.
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