手法を比較
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| CUSUM管理図× | 多変量EWMA管理図× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統 | Process / pipeline | Process / pipeline |
| 提唱年≠ | 1954 | 1992 |
| 提唱者≠ | E. S. Page | Lowry, Woodall, Champ & Rigdon |
| 種類≠ | Statistical process control chart for small shifts | Multivariate sequential monitoring chart |
| 原典≠ | Page, E. S. (1954). Continuous inspection schemes. Biometrika, 41(1/2), 100–115. DOI ↗ | Lowry, C. A., Woodall, W. H., Champ, C. W., & Rigdon, S. E. (1992). A multivariate exponentially weighted moving average control chart. Technometrics, 34(1), 46–53. DOI ↗ |
| 別名 | cumulative sum chart, CUSUM control chart, Page's CUSUM, kümülatif toplam kontrol kartı | Multivariate Exponentially Weighted Moving Average Chart, MEWMA Control Chart, Vector EWMA Chart, Çok Değişkenli EWMA Kontrol Grafiği |
| 関連≠ | 4 | 2 |
| 概要≠ | 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. | The Multivariate EWMA (MEWMA) control chart is a statistical process monitoring method designed to detect small and sustained shifts in the mean vector of a multivariate process. Introduced by Lowry, Woodall, Champ, and Rigdon in 1992, it extends the univariate EWMA chart to p-dimensional observation vectors by computing an exponentially weighted moving average of successive measurement vectors and charting a Hotelling-type quadratic form against a control limit determined by a target average run length. |
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