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題名 | Statistical Theory for Shainin's IsoPlot=兩測管圖的統計理論 |
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作者 | 陳文魁; 方聰然; Chen, Wen-kuei; Fang, Tsung-jan; |
期刊 | 品質學報 |
出版日期 | 20150200 |
卷期 | 22:1 2015.02[民104.02] |
頁次 | 頁47-56 |
分類號 | 331.7 |
語文 | eng |
關鍵詞 | 兩測管圖; 精度倍比; 雙變數常態分配; IsoPlot; MSA; The tube scatter of diagram; Precision ratio; Bivariate normal distribution; |
中文摘要 | 對儀表之管理,傳統上企業過度倚重度量衡的校正。由於MSA能夠填補這項品質缺口,自從北美三大汽車積極推動MSA以來,不只汽車產業受惠,整個工業界亦風起雲湧的群起仿傚。如今,風行世界方興未艾的六標準差體系,導入的企業普遍都將MSA納進黑帶的工具箱。將通用公司的技術手冊修訂後,三大汽車於1992年共同發行首版量測系統分析,1994年旋即改版,2002年再發行第三版。另外,Shainin的IsoPlot係屬量器精度的判圖法,該法要求隨機抽取30只另件,將兩回測量的成果繪成腸管圖,若管長與管徑的倍比至少有8.5,則判定該量器之精度業已充分;IsoPlot提供工業界快速評價量測系統的方法,而MSA手冊則是提供正規量測系統之作業指導,但上述兩者目前皆欠缺理論支持,本文從雙變數常態入手,為IsoPlot建立乙套統計理論,提供對IsoPlot判過機率的預測,另本文亦可為MSA的統計理論產生開發之契機。 |
英文摘要 | For the instrument management at traditional enterprises, it is over reliance on the calibration system. Since MSA could fill the gap in quality, the Big Three automakers in North America gave imputes to their industries and gained benefits. The industrial sectors also surged to follow suits. Today, the popular Six Sigma system, MSA, was incorporated into the Black Belt toolbox generally. After GM Technical Manual was amended, the Big three cars in 1992 jointly issued the first edition of the measurement systems analysis, then in 1994 it was revised, and third edition was reissued in 2002. In addition, the Shainin's IsoPlot is for precision gauges by determining diagram method. The method requires randomly selected 30 parts; the results of two independently measurements on each part will be plotted into the tube scatter of diagram, if the pipe length and diameter of ratio is 8.5 at least, then the accuracy of the gauges have been regarded sufficient. From the bivariate normal commence, this article establishes the statistical theory for IsoPlot. And it provides error probability forecasts of IsoPlot, as well as, sends comments to the precision level gauges estimated. |
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