A CUSUM Control Chart With Practical Importance Of Data

In recent years,linear profile monitoring has become one of the research hotspots of statistical process control(SPC).Although the traditional control chart is simple and widely applicable,it is too sensitive to small changes,which easily leads to the increase of false alarm rate.This paper presents a new linear profile control chart with practical importance.Compared with the traditional control chart,the control chart has greater tolerance for small shift based on the consideration of practical importance,so as to ensure that the real important changes are detected.Simulation results show that the control chart can effectively detect the changes of intercept,slope and error variance.Based on the Max CCUSUM control chart provided by Haq(2020),we obtain the threshold value of the control chart with tolerance under the null hypothesis,and give the average run length of the control chart when the control chart is out of control.