The Reverse Moving Average Control Chart for Monitoring Autocorrelated Processes

Forecast-based monitoring schemes have been researched extensively in regards to applying traditional control charts to forecast errors arising from various autocorrelated processes. The dynamic response and behavior of forecast errors after experiencing a shift in the process mean make it difficult to choose a suitable control chart. This paper proposes the Reverse Moving Average Control Chart as a new forecast based monitoring scheme, compares the new control chart to traditional methods applied to various ARMA(1,1), AR(1), and MA(1) processes, and makes recommendations concerning the most appropriate control chart to use in a variety of situations when charting autocorrelated processes.