在許多生產製程裡，產品的品質特徵是由反應變數和一個或多個解釋變數間的函數關係來界定，我們將這樣的資料型態稱之為輪廓。本研究著重在第二階段的線上監控，有別於 Zou，Tsung 和 Wang (2008) 所提出的無母數指數加權移動平均管制圖，我們利用輪廓的無母數同時信賴帶以及變異數估計量轉換的概念來建構管制圖。為了想了解我們提出的管制圖在監控效力上的優劣，我們考慮數個輪廓製程失控的情況，藉由模擬的方式比較上述兩種管制圖的監控效力。此外，當輪廓製程失控時，能找出製程改變點的位置對於製程改善是很有幫助的，我們利用文獻上的最大化概似比方法來估計改變點，並藉由統計模擬來比較在兩種管制圖下，改變點估計的準確性。最後我們透過一些例子來說明我們提出的管制圖在實際上如何運用。

第一章 緒論

1.1 前言
1.2 輪廓監控的文獻探討
1.3 研究動機與目的

第二章 輪廓監控的方法
2.1 模型的假設
2.2 ZTW管制圖
2.2.1 廣義概似比檢定
2.2.2 監控管制圖
2.3 同時信賴帶管制圖
2.3.1 輪廓平均數監控
2.3.2 輪廓變異數監控

第三章 統計模擬
3.1 管制圖的比較
3.2 參數改變
3.3 模型改變
3.4 改變點的估計
3.5 實例分析

第四章 結論與未來研究
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