Exact(3)
The standard cumulative sum chart (CUSUM) is widely used for detecting small and moderate process mean shifts, and its optimal detection ability for any pre-specified mean shift has been demonstrated by its equivalence to continuous sequential tests.
A simple and powerful method of plotting reliability growth is stated to be the use of CUSUM (cumulative sum chart) plots and in this technique, an anticipated target MTBF (mean time between failures) is chosen and the deviations are plotted against time.
There are CUmulative SUM chart, Moving Average chart, and Exponentially Weighted Moving Average (Geometric Moving Average) chart in this group [ 1, 4, 6, 7].
Similar(57)
Additional files 5 and 6 contain the results for run sum charts.
All analyses were repeated using personalized X-bar charts, individual-moving range charts, and run sum charts.
They also introduced a procedure to construct the R chart that allows using the same score system in both run sum charts.
Both run sum charts are based on the average and range of rational subgroups which are groups of successive observations from the same patient.
As for run sum charts, the sensitivity values were also consistently larger than for universal and personalized X-bar charts, with combination of run sum X-bar and R charts showing greater values than for each of these charts separately.
For each of ASRM and QIDS, we developed four types of control charts, based on the same dataset: X-bar charts, personalized X-bar charts, individual-moving range charts, and run sum charts.
Run sum charts (Reynolds 1971; Aguirre-Torres and Reyes-López 1999) are also a pair of personalized charts, named X-bar and R charts, used to assess changes in the mean and dispersion of the process due to special causes.
All control charts were divided into zones covering the area above the mean (see Fig. 2), except for run sum charts that consider the area below the mean too.
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