General Question about Control charts: if you designed and Set up a tabular CUSUM for the...

General Question about Control charts:

if you designed and Set up a tabular CUSUM for the mean of a process, and you detected that there is a shift, how do you estimate the magnitude of that shift?

Expert Solution

If we designed and set-up a tabular CUSUM for the mean of a process, and we detected that there is a shift, then we can estimate the magnitude of that shift by understanding the position of the shift and how much it is away from the control limit line. For the CUSUM i.e. cumulative sum control chart, we come out with a particular shape, who line will be showing the out of control lines. If the mean is out of these shape’s line, then we can understand that the process mean is out of control and it is shifted towards any of the direction. The magnitude of the shift can be understood by the position of the shift on the graph and its comparison with the graph axis labeling.

The shift in mean can be understood with the help of multiple of standard deviation. The spread of the mean in the control chart is basically in the multiples of the standard sigma. Thus we can detect the out of control with the help of standard deviation sigma.

CUSUM uses the V-mask for understanding the control chart falling within the limits designed for the chart. If all the mean value points are within the V -mask lines, then they are in control limits. If they are out of V-lines, then they are out of control limit.

orchestra answered 2 years ago

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