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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/96306


    Title: 統計品管中製程能力指標決策程序之研究
    Some Decision Procedures For The Capability Index In Quality Control Process
    Authors: 李仁棻
    Lee, Ren Fen
    Contributors: 黃登源
    Huang, Deng-Yuan
    李仁棻
    Lee, Ren Fen
    Keywords: 製程能力指標、非中心性卡方分配、檢定、部份集合選擇
    Process Capability Index、Noncentral Chi Square Distribution
    Date: 1993
    Issue Date: 2016-05-10 18:56:28 (UTC+8)
    Abstract: 製程能力指標（process capability index）常被用來評量製程能力的高低。它結合規格及製程變異於一指標，便利使用者易於了解指標的意義。
    若吾人主張一製程能力大於某一定值，當同時控制型I及型II過誤，這時，臨界值（critical value）及樣本大小n即可決定。若同時存在有數個大於某一定值的製造過程，吾人欲挑選具有最大製程能力的製程，這時，我們提出一個客觀的準則來加以選擇。
    本篇論文的特色是以解析法來決定臨界值及樣本大小n，並於挑選最大的製程能力時能提出一個客觀的挑選準則。
    研究中發現：雖然逼近常用的統計上查表值時有些誤差，但誤差不大。故本文討論的過程中所用的方法及結論，適用於線上作業。
    Reference: References
    1. Boyles, R. A. (1991). The Taguchi Capability Index. Journal of Quality Technology,23,17-26.
    2. Chan, L. K., Cheng, S. W., and Spiring, F. A. (1988). A New Measure of
    Process Capability: Cpm ` Journal of Quality Teclmology ,20,162-175.
    3. Chou, Y. M. and Owen, D. B. (1989). On The Distributions of The Estimated
    Process Capability Indices. Conuuun. Statist. - Theory Meth. )8,4549-4560.
    4. Franklin, L. A. and ,Vassennan, G. S. (1992). Bootstrap Lower Corrfidence
    Limits for Capability Indices. Journal of Quality Teclmology ,24,196-209.
    5. Fun, Y. P. and Li, C. C. (1991). Some Discussion and Proposition on Process
    Capability Index. Journal of The Chinese Institute of Industrial Engineers
    ,8,83-89.
    6. Gupta, S.S., and Huang, D.Y. (1981). Multiple Statistical Decision Theory.
    Lecture Notes in Statistics (6), Springer-Verlag, New York.
    7. Gupta, S.S., and Panchapakesan, S. (1979). Multiple Decision Procedures:
    Theory and Methodology of Selecting and Ranking Populatioons. John Wiley
    & Sons, New York.
    8. Haynam, G. E. , Govindarajulu, Z., Leone, F. C., and Siefert, P. (1982, 1983).
    Tables of The Cumulative Noncentral Chi-square Distribution. Parts 1, 2, 3,
    4, 5, and 6. iVIath. Operationsforsch. Statist. Sel`. Statistics 13 and 14.
    9. Johnson, N.L., and Kotz, S. (1970). Continuous Univariate Distributions-2.
    Houghton Mifflin company, Boston.
    10. Johnson, T. (1992). The Relationship of Cpm to Square Error Loss. Journal
    of Quality Technology ,24,211-215.
    11. Kane, V. E. (1986). Process Capability Indices. Journal of Quality Technology
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    12. Kirmani, S. N. U. A., Kocherlakota, K., and Kocherlakota, S. (1991). Estirnation
    of iT and The Process Capability Index Based on Subsamples. Corrunun.
    Statist. - Theory :Meth. ,20,275-291.
    13. Ko cherlakot a, S. (1992). Process Capability Index: Recent developrnents .Sankhyal
    :The Indian Journal of Statistics,54, Series B ,352-369.
    14. Kotz, S. and Jolmson, N. 1. (1993). Process Capability Indices. Chapman &
    Hall.
    15. Kuchler, R. H. and Hurley, P. (1992). Confidence Bounds for Capability Indices.
    Journal of Quality Technology ,24,188-195.
    16. Montgomery, D.e. (1991). Introduction to Statistical Quality Control. 2nd ed.
    John Wiley & Sons, New York.
    17. Peam) W. L.) Kotz) S., and Johnson, N. L. (1992). Distributional and Inferential
    Propertices of Process Capability Indices. Journal of Quality Technology
    ,24,215-231.
    18. Rohatgi, V. K. (1984). Statistical Inference. John Wiley & Sons, New York.
    19. Spiring, F. A. (1991). Assessing Process Capability in The Presence of Sys~
    tematic Assignable Cause. Journal of Quality Technology ,23,125-134.
    20. Tseng, S.T. and Wu, T.Y. (1991). Selecting The Best Manufacturing Process.
    Journal of Quality Technology ,23,53-62.
    21. Wu, T.Y. (1990). A Study of MLR Rule on Sampling Plan. Ph.D. Thesis. Dept
    of Industrial rvlanagement, National Taiwan Institute of Tec1mology, R.O.C.
    Description: 博士
    國立政治大學
    統計學系
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G91NCCV9542012
    Data Type: thesis
    Appears in Collections:[Department of Statistics] Theses

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