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# Connie Brown Composite Index

This study calculates and displays the three indices that comprise Connie Brown's Composite Index.

Let \(X\) be a random variable denoting the **Input Data** Input, and let \(n_{RSI}^{(1)}\), \(n_{RSI}^{(2)}\), \(n_M\), \(n_{MA}^{(1)}\), \(n_{MA}^{(2)}\), and \(n_{MA}^{(3)}\) denote, respectively, the **RSI Length 1**, **RSI Length 2**, **Momentum Length**, **Moving Average Length 1**, **Moving Average Length 2**, and **Moving Average Length 3** Inputs.

We denote the three indices of the **Connie Brown Composite Index** for the given Inputs at Index \(t\) as \(CBI^{(1)}_t\left(X,n_{RSI}^{(1)}, n_M, n_{RSI}^{(2)}, n_{MA}^{(1)}\right)\), \(CBI^{(2)}_t\left(X,n_{RSI}^{(1)}, n_M, n_{RSI}^{(2)}, n_{MA}^{(1)}, n_{MA}^{(2)}\right)\), and \(CBI^{(3)}_t\left(X,n_{RSI}^{(1)}, n_M, n_{RSI}^{(2)}, n_{MA}^{(1)}, n_{MA}^{(3)}\right)\). These indices are all calculated for \(t \geq \max\left\{n_{RSI}^{(1)} + n_M, n_{RSI}^{(2)} + n_{MA}^{(1)} - 1\right\} + \max\left\{n_{MA}^{(2)} + n_{MA}^{(3)}\right\} - 1\).

The first index is calculated in terms of the RSI, Momentum, and Simple Moving Average indicators as follows.

\(CBI^{(1)}_t\left(X,n_{RSI}^{(1)}, n_M, n_{RSI}^{(2)}, n_{MA}^{(1)}\right) = M_t\left(RSI\left(X,n_{RSI}^{(1)}\right), n_M\right) + SMA_t\left(RSI\left(X,n_{RSI}^{(2)}\right), n_{MA}^{(1)}\right)\)**Note**: Depending on the setting of the Input **Moving Average Type 1**, the Simple Moving Average in the above formula could be replaced with an Exponential Moving Average, a Linear Regression Moving Average, a Weighted Moving Average, a Wilders Moving Average, a Simple Moving Average - Skip Zeros, or a Smoothed Moving Average.

**Note**: The Momentum calculation computed as type Difference, and not as type Quotient. That is, \(M_t\left(RSI\left(X,n_{RSI}^{(1)}\right), n_M\right) = RSI_t\left(X,n_{RSI}^{(1)}\right) - RSI_{t - n_M}\left(X,n_{RSI}^{(1)}\right)\).

The second and third indices are Simple Moving Averages of the first one. They are calculated as follows.

\(CBI^{(2)}_t\left(X,n_{RSI}^{(1)}, n_M, n_{RSI}^{(2)}, n_{MA}^{(1)}, n_{MA}^{(2)}\right) = SMA_t\left(CBI^{(1)}\left(X,n_{RSI}^{(1)}, n_M, n_{RSI}^{(2)}, n_{MA}^{(1)}\right), n_{MA}^{(2)}\right)\)\(CBI^{(3)}_t\left(X,n_{RSI}^{(1)}, n_M, n_{RSI}^{(2)}, n_{MA}^{(1)}, n_{MA}^{(3)}\right) = SMA_t\left(CBI^{(1)}\left(X,n_{RSI}^{(1)}, n_M, n_{RSI}^{(2)}, n_{MA}^{(1)}\right), n_{MA}^{(3)}\right)\)

**Note**: Depending on the setting of the Inputs **Moving Average Types 2** and **3**, the Simple Moving Averages in the above formulas 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.

#### Inputs

#### 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 Monday, 26th September, 2022.