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On the Charting Procedures: T~2 Chart and DD-Diagram

机译:关于制图程序:T〜2图表和DD图

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摘要

Multivariate analysis is increasingly used to include all dimensions of quality concept, in light of rapid development of customer requirements. With the recent advances in information technology and in recording, large amounts of multivariate data are now needed to be analyzed. Many charting procedures are based on Mahalanobis distance, but their applicability relies heavily on the requirement of normality and their performance is related to the choice of a type I error rate. An alternative charting scheme based on data depth is pursued and its performance is assessed through a real example. This performance and that of a T~2 chart for individual observations are discussed. Using the centre-outward ranking, this new method named DD-diagram is used to detect any multivariate quality datum that one of its components exceeds its limiting variation interval. For a given error-free sample, the DD-diagram can be used to signal out any point of another observed sample taken from a multivariate quality process. This new scheme based on data depth uses a properly chosen limiting variation line or L_(value) in order to evaluate the outlyingness of every point in the observed sample in all directions of the considered P-variates of quality process.
机译:鉴于客户需求的快速发展,多变量分析已越来越多地用于包括质量概念的所有方面。随着信息技术和记录的最新发展,现在需要分析大量的多变量数据。许多制图程序都是基于马氏距离,但其适用性在很大程度上取决于正态性要求,其性能与I型错误率的选择有关。寻求基于数据深度的替代制图方案,并通过一个实际示例评估其性能。讨论了该性能以及用于个人观察的T〜2图的性能。通过使用中心向外排序,这种称为DD图的新方法可用于检测其组成部分之一超过其极限变化区间的任何多元质量数据。对于给定的无误差样本,DD图可用于发信号表示从多元质量过程中获取的另一个观察样本的任何点。这种基于数据深度的新方案使用适当选择的极限变化线或L_(值),以评估观察到的样本中每个点在质量过程的P变量各个方向上的异常值。

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