September 2024
Intermediate to advanced
386 pages
12h 2m
English
Content preview from Statistical Process Control and Data Analytics, 8th Edition
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Appendix HOC curves and ARL curves for and R charts
Operating characteristic (OC) curves for an R chart (based on upper action line only). Figure H.1 shows, for several different sample sizes, a plot of the probability or chance that the first sample point will fall below the upper action line, following a given increase in process standard deviation. The x axis is the ratio of the new standard deviation (after the change) to the old; the ordinate axis is the probability that this shift will not be detected by the first sample.
It is interesting to compare the OC curves for samples of various sizes. For example, when the process standard deviation increases by a factor of 3, the probability of not detecting the shift with the first sample ...
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