概似比檢定統計量的指數加權移動平均監控一般線性資料

Abstract

當製程品質可藉由變數間之線性關係來衡量時，本文提出統計製程管制可用於監控工業實務上。首先介紹一些概似比檢定統計量的性質。其次，我們提出概似比檢定統計量的指數加權移動平均來監控一般線性資料。最後，我們用模擬的方法來說明我們提出的這個方法之表現並討論它的優缺點。

When the quality of a process can be characterized by general linear profiles, a statistical process control scheme that can be used in industrial practice is proposed in the paper. First, some properties of the likelihood ratio test statistics are introduced. Next, an exponentially weighted moving average control chart based on likelihood ratio test statistics for monitoring general linear profiles is proposed. Finally, the performance of the proposed methodology is investigated through a simulation study to show its strength and weakness.