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CUSUM 관리도×계수형 관리도 (p, np, c, u)×
분야통계학통계학
계열Process / pipelineProcess / pipeline
기원 연도19541931
창시자E. S. PageWalter A. Shewhart
유형Statistical process control chart for small shiftsStatistical process control charts for count/proportion data
원전Page, E. S. (1954). Continuous inspection schemes. Biometrika, 41(1/2), 100–115. DOI ↗Shewhart, W. A. (1931). Economic Control of Quality of Manufactured Product. D. Van Nostrand Company. ISBN: 978-0-87389-076-2
별칭cumulative sum chart, CUSUM control chart, Page's CUSUM, kümülatif toplam kontrol kartıp-chart, np-chart, c-chart, u-chart
관련44
요약The cumulative sum (CUSUM) control chart, introduced by E. S. Page in 1954, monitors a process by accumulating the deviations of observations from a target value rather than judging each point in isolation. Because small persistent shifts add up over time, the running sum makes them visible far sooner than a Shewhart chart, making CUSUM the tool of choice for detecting small, sustained changes in the process mean.Attributes control charts extend Shewhart's framework to count and proportion data — quality characteristics that are classified rather than measured. The p- and np-charts monitor the proportion or number of defective items using the binomial distribution, while the c- and u-charts monitor the number of defects per unit using the Poisson distribution. They are the standard statistical-process-control tools when inspection yields pass/fail or defect counts rather than continuous measurements.
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