近年來，製程能力指標（Process Capability Indices, PCI）已廣泛的應用在工業生產管理上。製程能力指標代表的是一個生產製造過程的能力優劣，製程設計者以及生產管理者常藉以評鑑製造過程，以建構一個有效率且高品質水準的生產系統。然而當比較多群單邊規格製程的製程能力一致性時，僅Chou (1994)對檢定二群單邊規格製程能力指標的一致性提出檢定方法，可惜的是，之後似乎未再出現過有關於檢定二群或多群單邊規格製程能力指標一致性的文獻討論。
本文除了討論如何應用現有檢定多群變異係數一致性的檢定方法於檢定多群單邊規格製程能力指標一致性上外，並嘗試提出以檢定多群變異數一致性的檢定方法應用於檢定多群單邊規格製程能力指標一致性上。最後並以蒙地卡羅模擬實驗針對各個檢定方法的經驗大小(empirical size)與檢定力(empirical power)做討論，除了整理出在常態、卡方、對數常態製程分配下，不同樣本數所適合的檢定方法，並建議最佳的檢定方法。

1 導論 ....................................... 1
1.1 製程能力指標發展概述 ..................... 1
1.2 製程品質特性 ............................. 2
1.3 單邊規格下的製程能力指標 ................. 3
1.4 研究的目的 ............................... 4
1.5 論文的流程 ............................... 5
2 文獻回顧 ................................... 6
3 檢定方法 ................................... 8
3.1 如何應用檢定多群變異係數一致性的檢定方法 . 8
3.2 現有檢定多群變異係數一致性的方法 ......... 9
3.3 如何應用檢定多群變異數一致性的檢定方法 ... 15
3.4 現有檢定多群變異數一致性的方法 ........... 15
3.5 檢定方法的整理 ........................... 16
4 模擬研究 ................................... 18
4.1 模擬設計 ................................. 18
4.2 模擬結果 ................................. 21
4.3 結論 ..................................... 25
5 實例 ....................................... 28
5.1 檢定的程序 ............................... 28
5.2 實例的應用 ............................... 28
6 討論與建議 ................................. 32
6.1 主要的貢獻 ............................... 32
6.2 討論 ..................................... 32
6.3 建議 ..................................... 32
6.4 未來研究的方向 ........................... 33
附錄A ........................................ 34
附錄B ........................................ 76
參考文獻 ..................................... 77

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