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| CUSUM-Regelkarte× | Sequenzielle Analyse (Gruppensequenzielle Planung)× | |
|---|---|---|
| Fachgebiet | Statistik | Statistik |
| Familie≠ | Process / pipeline | Hypothesis test |
| Entstehungsjahr≠ | 1954 | 1977 |
| Urheber≠ | E. S. Page | P. C. O'Brien & T. R. Fleming; P. C. Pocock |
| Typ≠ | Statistical process control chart for small shifts | Sequential / adaptive hypothesis test |
| Wegweisende Quelle≠ | Page, E. S. (1954). Continuous inspection schemes. Biometrika, 41(1/2), 100–115. DOI ↗ | O'Brien, P.C. & Fleming, T.R. (1979). A Multiple Testing Procedure for Clinical Trials. Biometrics, 35(3), 549–556. DOI ↗ |
| Aliasnamen | cumulative sum chart, CUSUM control chart, Page's CUSUM, kümülatif toplam kontrol kartı | sequential testing, group sequential design, interim analysis, Sıralı Analiz (Sequential Testing / Group Sequential Design) |
| Verwandt≠ | 4 | 5 |
| Zusammenfassung≠ | The 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. | Sequential analysis is a framework for conducting hypothesis tests with pre-planned interim looks at accumulating data, allowing a study to stop early for efficacy or futility while controlling the overall Type I error rate. The group sequential approach was formalised by Pocock (1977) and O'Brien and Fleming (1979), and remains the standard for confirmatory clinical trials and rigorous A/B experiments. |
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