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首页> 外文期刊>International Journal of Statistics and Applications >Permutation Approach in Obtaining Control Limits and Interpretation of out of Control Signals in Multivariate Control Charts
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Permutation Approach in Obtaining Control Limits and Interpretation of out of Control Signals in Multivariate Control Charts

机译：在多元控制图中获得控制极限和解释失控信号的置换方法

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The use of multivariate control charts in manufacturing and service industries is often avoided because of the complexity in its development and interpretation of out of control signals. Most multivariate control charts require a specific distributional assumption to establish their control limits, but the bootstrap and permutation methods does not rely on such distributional assumption. Control limit obtain from the bootstrap method is approximate in nature while that of permutation is exact. This study introduces the permutation method in obtaining exact control limits as well as interpreting out of control signals in multivariate Hotelling’s T2 control charts. A performance study of the methods using empirical data sets shows that results from the proposed Permutation method when compared with other existing methods perform better in identifying out of control signal rather than stopping the entire processes.
机译：由于在制造和服务行业中开发和解释失控信号非常复杂，因此通常避免使用多元控制图。大多数多变量控制图都需要特定的分布假设来建立其控制极限，但是自举和置换方法并不依赖于这种分布假设。从引导方法获得的控制极限本质上是近似的，而排列的控制极限是精确的。这项研究介绍了一种置换方法，该方法可用于获取精确的控制范围以及解释多元Hotelling的T 2 控制图中的控制信号。对使用经验数据集的方法进行的性能研究表明，与其他现有方法相比，提出的置换方法的结果在识别失控信号方面表现出更好的效果，而不是停止整个过程。

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