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首页> 外文期刊>International journal of quality, statistics, & reliability >On the Use of the K-Chart for Phase Ⅱ Monitoring of Simple Linear Profiles
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On the Use of the K-Chart for Phase Ⅱ Monitoring of Simple Linear Profiles

机译：关于使用K图在简单线性轮廓的第二阶段监视中的应用

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摘要

Control charts for monitoring linear profiles are used to control quality processes which are characterized by a relationship between a response variable and one or more explanatory variables. In the literature, the majority of control charts deal with phase II analysis of linear profiles, where the objective is to assess the performance of control charts in detecting shifts in the parameters of linear profiles. Recently, the kernel distance-based multivariate control chart, also known as the K-chart, has received much attention as a promising nonparametric control chart with high sensitivity to small shifts in the process. Despite its numerous advantages, no work has proposed the use of the K-chart for monitoring simple linear profiles and that serves the motivation for this paper. This paper proposes the use of the K-chart for monitoring simple linear profiles. A benchmark example is used to show the construction methodology of the K-chart for simultaneously monitoring the slope and intercept of linear profile. In addition, performance of the K-chart in detecting out-of-control profiles is assessed and compared with traditional control charts. Results demonstrate that the K-chart performs better than the T~2 control chart, EWMA control chart, and R-chart under small shift in the slope.
机译：用于监视线性轮廓的控制图用于控制质量过程，该过程的特征是响应变量和一个或多个解释变量之间的关系。在文献中，大多数控制图处理线性曲线的II期分析，目的是评估控制图在检测线性曲线参数变化中的性能。最近，基于核距离的多元控制图（也称为K图）作为一种有前途的非参数控制图受到了广泛关注，该图对过程中的小变化具有高度敏感性。尽管具有许多优点，但没有工作提出使用K图来监视简单的线性轮廓，这为本文的动机服务。本文提出了使用K图来监视简单线性轮廓的方法。使用一个基准示例来显示用于同时监视斜率和线性轮廓截距的K图的构建方法。此外，评估了K图在检测失控曲线中的性能，并将其与传统控制图进行了比较。结果表明，在较小的斜率偏移下，K图的性能优于T〜2控制图，EWMA控制图和R图。

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