Two Charts: Not One |
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Affiliation: |
a Department of Statistics and Industrial and System Engineering, University of Wisconsin-Madison, |
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Abstract: | Difficulties can occur in the operation of traditional control charts. A principal reason for this is that the data coming from a typical operating process do not vary about a fixed mean. It is shown how by using a nonstationary model a continuously updated local mean level is provided. This can be used to produce (a) a bounded adjustment chart that tells you when to adjust the process to achieve maximum economy and (b) a Shewhart monitoring chart seeking assignable causes of trouble applied to the deviations from the local mean. Estimation of the mean and “standard deviation” are not required. |
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Keywords: | bounded adjustment chart EWMA estimate IMA time series monitoring chart noise nonstationarity quality control chart stationarity white noise |
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