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# Technical Studies Reference

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### Study Subgraphs Divide/Ratio

This study calculates and displays the *Ratio* of two study Subgraphs. These can be part of different studies on the chart.

Let \(X^{(1)}\) and \(X^{(2)}\) be random variables respectively denoting the **Input Study 1** and **Input Study 2** Inputs, and let \(X^{(1)}_t\) and \(X^{(2)}_t\) be their respective values at Index \(t\). Let the Input **Study 2 Subgraph Offset** be denoted as \(k\).

If \(k = 0\), then the displayed value of **Study Subgraphs Divide** at Index \(t\) is given by \(\displaystyle{\left\{ \begin{matrix} X^{(1)}_t / X^{(2)}_t & X^{(2)}_t \neq 0 \\ 0 & X^{(2)}_t = 0 \end{matrix}\right.}\). If \(k \neq 0\), then the displayed value of **Study Subgraphs Divide** is given by \(\displaystyle{\left\{ \begin{matrix} X^{(1)}_t / X^{(2)}_0 & X^{(2)}_0 \neq 0 \\ 0 & X^{(2)}_0 = 0 \end{matrix}\right.}\) for \(t \leq k\), and \(\displaystyle{\left\{ \begin{matrix} X^{(1)}_t / X^{(2)}_{t - k} & X^{(2)}_{t - k} \neq 0 \\ 0 & X^{(2)}_{t - k} = 0 \end{matrix}\right.}\)\(\) for \(t > k\).

If the **Draw Zeros** Input is set to No, then **Study Subgraphs Divide** is not drawn at Index \(t\) if its value is zero. Otherwise, it is drawn at Index \(t\) even if its value is zero.

#### Inputs

**Input Study 1**: Use this Input to select the study and study Subgraph for**Study Subgraph 1**used in the ratio calculation.**Input Study 2**: Use this Input to select the study and study Subgraph for**Study Subgraph 2**used in the ratio calculation.**Study 2 Subgraph Offset**: This Input specifies the offset, in chart bars, from the current bar when determining the value for Study Subgraph 2.**Draw Zeros**: When this Input is set to Yes, then zero values from the study Subgraph will be drawn. Otherwise, they will not be.

#### 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.