在許多工業生產的實際例子上，產品或製程的品質特徵可以用一個反應變數以及一個或多個解釋變數的函數關係來描述，這種函數關係稱為輪廓製程。本文主要是針對反應變數是類別且有序的輪廓資料時，如何來監控反應變數與解釋變數之間的輪廓關係。我們使用additive proportional odds模式來描述反應變數與解釋變數之間的輪廓關係，在這個模式之下我們建構兩個管制圖來進行輪廓監控，並在偵測到失控訊號之後進行製程改變點的估計以及製程改變的診斷。最後我們利用一個例子來說明實際上如何操作使用我們所提出的管制圖。

第一章 緒論 1
1.1 前言 1
1.2 輪廓製程監控 2
1.3 研究動機與目的 5
第二章 Additive proportional odds 模式的輪廓監控 7
2.1 文獻回顧及模型假設 7
2.2 參數估計 9
2.3 監控輪廓製程的管制圖 10
2.4 管制界限的求法 12
第三章 管制圖的比較 14
3.1 效率的比較 14
3.1.1 無母數函數 為線性形式 14
3.1.2 無母數函數 為非線性形式 17
3.2 製程的診斷 20
3.3 例子 24
第四章 結論與未來研究 27
附錄 29
參考文獻 33
附表 36
附圖 63

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