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### Moving Average Difference

To familiarize yourself with the terminology and notation used in this study, refer to the documentation for the study Moving Average - Simple.

This study calculates and displays the difference between two moving averages, whose types are chosen by the user with the Input **Moving Average Type**. By default, both moving averages are Simple Moving Averages. The Input **Input Data** is denoted as \(X\), and the Inputs **Length 1** and **Length 2** of these two moving averages are denoted as \(n_1\) and \(n_2\), respectively.

We denote the **Moving Average Difference** at Index \(t\) for the given Inputs as \(MADiff_t\left(X,n_1,n_2\right)\), and we compute it for \(t \geq \max\{n_1,n_2\}\) as follows.

The Subgraph of this indicator is displayed in two user-selected colors: one for when the Subgraph is rising, and the other for when it is falling.

**Note**: Depending on the setting of the Inputs **Moving Average Types 1** and **2**, the Simple Moving Averages in the above formula could be replaced with Exponential Moving Averages, Linear Regression Moving Averages, Weighted Moving Averages, Wilders Moving Averages, Simple Moving Averages - Skip Zeros, or Smoothed Moving Averages.

#### Spreadsheet

The spreadsheet below contains the formulas for this study in Spreadsheet format. Save this Spreadsheet to the Data Files Folder.

Open it through **File >> Open Spreadsheet**.

*Last modified Wednesday, 03rd January, 2018.