在許多的實際情況中，製程或產品的品質特性是由一反應變數及一或多個解釋變數之間的關係所描述，而不再是一般的隨機變數，這種反應變數和解釋變數之間的關係稱為輪廓函數。由於隨機效應模型比固定效應模型的應用更為廣泛，在許多的實例中，反應變數與解釋變數之間的關係都可用隨機效應模型來描述。因此在本文中我們將以隨機效應模型做為輪廓函數，考慮在第一階段的監控裡，使用兩種不同的係數參數估計量及三種監控製程的管制圖，並透過統計模擬，來比較這兩種不同的估計量所建構的三種監控管制圖的優劣。

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