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題 名 | A Comparative Study on the Estimators of Standard Deviation in Statistical Process Control=統計製程管制中標準差估計式之比較研究 |
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作 者 | 周昭宇; 王品皓; 江行全; | 書刊名 | 中國工程學刊 |
卷 期 | 22:1 1999.01[民88.01] |
頁 次 | 頁109-116 |
分類號 | 494.56 |
關鍵詞 | 估計式; 標準差; 變異數; 全距; 有效性; Estimator; Standard deviation; Variance; Range; Efficiency; |
語 文 | 英文(English) |
中文摘要 | 自從 1930 年代以來,統計方法在工業製程管制上的應用就備受重視。在統計製 程管制中,有很多技術(如管制圖和製程能力分析)均需要知道製程的標準差。然而,製程 標準差卻往往是個未知參數。因此,製程標準差的估計在統計製程管制中扮演著極重要的角 色。在本文中,我們回顧四個常用的製程標準差的估計式,並討論這四個估計式的有效性。 然後,我們以有效性為基準,對這四個估計式進行比較。從比較結果得知:當樣本數大於或 等於 6 時,第二、三和四個估計式的有效性均無甚大差別; 然而,當樣本數小於或等於 5 時,第三個和四個估計式有較佳之有效性。 |
英文摘要 | Since the 1930s statistical methods applied to industrial process control have received much attention. Many techniques of statistical process control, such as control chart and process capability analysis, require knowledge of process standard deviation. Therefore, estimation of the process standard deviation plays an important role in statistical process control. In this article, we reviewed four widely used estimators of standard deviation and derived the efficiency of each estimator. Then, these four estimators of standard deviation were compared based on their efficiencies. From the comparative studies, we suggest that if the sample size is greater than or equal to 6, the second, third and fourth estimators may be used to estimate process standard deviation. However, if the sample size is less than or equal to 5, then the third and fourth estimators should be preferred. |
本系統中英文摘要資訊取自各篇刊載內容。