An improved variable parameter mean square error control chart

In order to improve the efficiency of the mean square error control chart in detecting small to moderate shifts, an improved variable parameter mean square error (VP t MSE) control chart is proposed, which uses three different sampling intervals, two different sample sizes and two different control...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2023-08, Vol.52 (16), p.5752-5766
Main Author: Chen, Pei-Le
Format: Article
Language:English
Subjects:
average number of observations to signal
average time to signal
Control charts
Control limits
Error detection
expected average time to signal
Markov chains
mean square error control chart
Mean square errors
Mean square values
Parameters
Sample size
Sampling
standard deviation of the time to signal
Variable parameter
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Summary:In order to improve the efficiency of the mean square error control chart in detecting small to moderate shifts, an improved variable parameter mean square error (VP t MSE) control chart is proposed, which uses three different sampling intervals, two different sample sizes and two different control limits. Markov chain method is used to calculate the average time to signal and average number of observations to signal. The performance of the adaptive chart was compared with the variable sample size and sampling interval (VSSI), the improved variable sample size and sampling interval (VSSI t ), the variable parameter (VP), the exponentially weighted moving average (EWMA), and the variable sampling interval exponentially weighted moving average (VSI EWMA) mean square error control chart. Numerical results show that the VP t MSE chart surpasses the other charts in detecting small to moderate shifts. At the same time, we also improve the VP t MSE chart, which greatly improves the statistical performance. An example is provided to illustrate the implementation of the VP t MSE chart.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2021.2019769