Design of Hotelling T2 control chart using various covariance structures

The objective of this research is to evaluate different serial correlated structures in Hotelling T-2 and Shewhart control charts in monitoring multivariate statistical process control. For this purpose, the false alarm rate and shift detection performance were calculated by considering different autocorrelations in the presence of three covariance matrices for the errors. Both simulated data and real data are used for validating the analysis. The result of the simulation shows that the false alarm rate decreases with the increase in the magnitude of autocorrelation in all three low, moderate, and high error covariance structures. In real data, two quality variables of the production process are used. By ignoring autocorrelation in real data, it is concluded that ARL(0) shows the process in controlling on the average for nominal value. The performance of Hotelling T2inARL1 varies as the shift changes only in x(1) otherwise ARL(1) have small values as compared to the individual Shewhart chart by increasing shifts in both variables.