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研究生: 吳郁芳
論文名稱: 監控多變量製程變異性之管制圖
指導教授: 黃榮臣
葉百堯
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: 2001
畢業學年度: 89
語文別: 中文
論文頁數: 70
中文關鍵詞: 平均連串長度指數加權移動平均概似比檢定多變量製程變異性
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  • 本文將介紹一新的管制圖來偵測多變量製程變異性的任意變化,它是檢定兩個獨立母體的共變異數矩陣是否相等的概似比檢定統計量,取自然對數所建構的指數加權移動平均管制圖。我們經由實際例子和統計模擬證實所提出的管制圖對多變量製程變異性的任意變化有相當不錯的偵測效率。


    第一章 緒論 1 1.1 製程監控的問題 1 1.2 傳統的Shewhart管制圖 2 1.3 累積和管制圖與指數加權移動平均管制圖 2 第二章 製程之變異性管制 4 2.1 文獻探討 4 2.2 檢定兩個獨立母體的共變異數矩陣是否相等 6 2.3 利用概似比檢定統計量來建構EWMA管制圖 8 2.4 例子 10 第三章 平均連串長度之表現 19 3.1 管制限界的選擇 19 3.2 比較平均連串長度 20 3.3 管制圖的診斷 28 第四章 結論 30 參考文獻 31 圖表 33

    Anderson, T. W.(1984). An Introduction to Multivariate Statistical Analysis (2nd Edition), John Wiley & Sons, New York.
    Crosier, R. B.(1988). “Multivariate Generalizations of Cumulative Sum Quality Control Schemes”. Technometrics 30, pp. 291-303.
    Das Gupta, S.(1969). “Properties of Power Functions of Some Tests Concerning Dispersion Matrices of Multivariate Normal Distribution”. The Annals of Mathematical Statistics 40, pp. 697-701.
    Healy, J. D.(1987). “A Note on Multivariate CUSUM Procedures”. Technometrics 29, pp. 409-412.
    Hawkins D. W.(1981). “A Cusum for a Scale Parameter”. Journal of Quality Technology 13, pp. 228-231.
    Hawkins D. W.(1991). “Multivariate Quality Control Based on Regression-Adjusted Variables”. Technometrics 33, pp. 61-75.
    Hawkins D. W.(1993). “Regression Adjustment for Variables in Multivariate Quality Control”. Journal of Quality Technology 25, pp. 170-182.
    Johnson, R. A. and Wichern, D. W.(1998). Applied Multivariate Statistical Analysis (4th Edition), Prentice Hall.
    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.
    Manly, B. F. J. and Rayner J. C. W.(1987). “The Comparison of Sample Covariance Matrices Using Likelihood Ratio Tests”. Biometrika 74, pp. 841-847.
    Mitra, A.(1993). Fundamentals of Quality Control and Improvement, Macmillan, New York.
    Montgomery, D. C.(1997). Introduction to Statistical Quality Control (3rd Edition), Wiley, New York.
    Muirhead, R. J.(1982). Aspects of Multivariate Statistical Theory, Wiley, New York.
    Pignatiello, J. J., Jr. and Runger, G. C.(1990). “Comparisons of Multivariate CUSUM Charts”. Journal of Quality Technology 22, pp. 173-186.
    Prabhu, S. S. and Runger, G. C.(1997). “Designing a Multivariate EWMA Control Chart”. Journal of Quality Technology 29, pp. 8-15.
    Sugiura, N. and Nagao, H.(1968). “Unbiasedness of Some Test Criteria for the Equality of One or Two Covarianve Matrices”. The Annals of Mathematical Statistics 39, pp. 1686-1692.
    Wierda, S. J.(1994). Multivariate Statistical Process Control. Wolters-Noordhoff, Groningen, The Netherlands.
    Woodall, W. H. and Ncube, M. M.(1985). “Multivariate CUSUM Quality Control Procedures”. Technometrics 27, pp. 285-292.

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