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Yes, Sharpcharts users can apply moving averages, and other indicators, to indicators. Start with a Sharpchart and select an indicator from the drop down box under the chart.
Once you have selected an indicator, more choices will appear on the right. Here you can select your overlay, which is an indicator of the indicator.
Once the overlay has been selected, you can then set the parameters accordingly. In the example below, I chose OBV with a 50-day moving average. On the QQQQ chart below, you can see that OBV has been above its 50-day SMA since the second week of July.
Click this chart to see the settings.
Indicator overlays can also be applied to oscillators like RSI, Rate-of-Change and Chaikin Money Flow. The example below shows Chaikin Money Flow with a 10-day SMA. This moving average can act as a signal line for the indicator, kind of like the 9-day EMA works as a signal line for MACD. Chaikin Money Flow is moving higher when it is above the 10-day SMA and moving lower when below the 10-day SMA. Chaikin Money Flow for QQQQ is currently moving lower and approaching its zero line.