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    Title: 製程能力指標Cpm 及Cpp 之臨界值與最適樣本數的決定
    Authors: 吳錦全
    Contributors: 淡江大學統計學系
    Keywords: 製程能力指標;臨界值;樣本大小;Process capability indices;critical value;sample size
    Date: 2003-09-01
    Issue Date: 2009-11-30 14:13:09 (UTC+8)
    Publisher: 臺北縣淡水鎮:淡江大學
    Abstract: 在本文中,利用非中心卡方分配的方法及Patnaik(1 949) 、Zar(1978) 、Wilson-Hilferty(1931 )所提出的近似式,以區間估計的觀念探討製程能力指標,並考慮在α 風險及檢定力的條件下,分別推導出C 指標的最小臨界值和C 指標pm的最大臨界值,以及相對的最適樣本數,以做為製程能力檢定的決策準則,且提供了最適樣本數的選取參考。
    In this paper, we use the approach of the non-central chi-square distribution and some approximated formulae, proposed by Patniak(1949), Zar(1978) and Wilson-Hilferty( 1931), to derive the minimum critical values of the process index C pm and the maximum critical values of the process index C pp under some given values of the a -risk and the power. The corresponding optimal sample sizes are also determined.
    Relation: 2003年兩岸管理科學暨經營決策學術研討會論文集,頁409-432
    Appears in Collections:[統計學系暨研究所] 會議論文

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