製程能力指標C/sub pm/及C/sub pp/之臨界值與最適樣本數的決定

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Title:	製程能力指標C/sub pm/及C/sub pp/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;臨界質;最適樣本數;Process Capability Index;Critical Value;Optimal Sample Size
Date:	2003-09
Issue Date:	2014-02-12 13:57:13 (UTC+8)
Abstract:	在本文中，利用非中心卡方分配的方法及Patnaik（1949）、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/sub pm/指標的最小臨界值和C/sub pp/指標的最大臨界值，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/sub pm/ and the maximum critical values of the process index C/sub pp/ under some given values of the α-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:	[Graduate Institute & Department of Statistics] Proceeding

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