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| 研究生： |
林姿吟 |
|---|---|
| 論文名稱： |
卜瓦松迴歸輪廓的監控 On the Monitoring of Poisson Regression Profiles |
| 指導教授： | 黃榮臣 |
| 口試委員: | |
| 學位類別： |
碩士 Master |
| 系所名稱： |
理學院 - 統計學研究所 Institute of Statistics |
| 論文出版年： | 2006 |
| 畢業學年度： | 94 |
| 語文別： | 中文 |
| 論文頁數： | 47 |
| 中文關鍵詞： | 輪廓 、卜瓦松 、迴歸 、林姿吟 、修華特管制圖 、指數加權移動平均管制圖 |
| 相關次數： | 點閱：3 下載：0 |
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在某些工業製程的實際應用上，製程或產品的品質特性是由反應變數和一或多個解釋變數間的關係來界定，而不再是一般的變數，這種反應變數和解釋變數之間的關係稱為輪廓函數。然而以往在文獻上被提出來監控輪廓函數的研究大部分都集中在反應變數為計量值(variable)的情況，極少討論反應變數是計數值(attribute)的情況。本文將針對反應變數為計數值的情形，且當反應變數與解釋變數之間為卜瓦松迴歸模型時，提出兩種監控製程的管制圖，並經由統計模擬來比較這兩種管制圖的優劣，我們也透過實際的例子來說明這兩種管制圖如何使用。
[1] Box, G. E. P. (1954). “Some Theorems on Quadratic Forms Applied in the Study of Analysis of Variance Problems: Effect of Inequality of Variance in One-way Classification, ” Annals of Mathematical Statistics 25, pp. 290-302.
[2] Hotelling, H. (1947). “Mulitivariate Quality Control,” Techniques of Statistical Analysis, eds. C. Eisenhart, M. W. Hastay, and W. A. Wallis, New York: McGraw-Hill, pp. 118-184.
[3] Kang, L. and Albin, S. L. (2000). “On-Line Monitoring When the Process Yields a Linear Profile,” Journal of Quality Technology 32, pp. 418-426.
[4] Kim, K., Mahmoud, M. A., and Woodall, W. H. (2003). “On the Monitoring of Linear Profiles,” Journal of Quality Technology 35, pp. 317-328.
[5] Lowry, C. A., Woodall, W. H., Champ, C. W., and Rigdon, S. E. (1992). “A Multivariate Exponentially Weighted Moving Average Control Charts,” Technometrics 34, pp. 46-53.
[6] Mahmoud, M. A., and Woodall, W. H. (2004). “Phase I Analysis of Linear Profiles with Calibration Applications,” Technometrics 46, pp. 380-391.
[7] McCullagh, P. and Nelder, J.A. (1989). Generalized Linear Models, Chapman and Hall, London.
[8] Mestek, O., Pavlik, J., and (1994). “Multivariate Control Charts: Control Charts for Calibration Curves,” Fresenius’ Journal of Analytical Chemistry 350, pp. 344-351.
[9] Myers, R. H., Montgomery, D. C., and Vining, G. G. (2002). Generalized Linear Models with Application in Engineering and the Sciences, Chapman and Hall, London.
[10] Page, E. S. (1954). “Continuous Inspection Schemes,” Biometrics 41, pp. 100-114.
[11] Roberts, S. W. (1959). “Control Chart Tests Based on Geometric Moving Averages,” Technometrics 1, pp. 239-250.
[12] Western Electric (1956). Statistical Quality Control Handbook, Western Electric Corporation, Indianapolis, Ind.
[13] Woodall, W. H. and Ncube, M. M. (1985). “Mulitivariate CUSUM Quality Control Procedures,” Technometrics 27, pp. 285-292.
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