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A control chart based on sample median for the detection of a permanent shift in the process mean

机译:基于样本中位数的控制图,用于检测过程平均值中的永久偏移

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摘要

The widely used control charts based on means require the normality assumption for the process variables and thus are very sensitive to the occasional presence of outliers. This paper presents a median chart as a better alternative for such situations, since the chart's limits are less influenced by outliers. This avoids unnecessary revision of limits. The chart is particularly recommended when prior knowledge points to the occurrence of outliers to be associated with the presence of only common causes. The construction of a median chart is discussed using relevant statistical theory on transformations, distributions and order statistics.
机译:基于均值的广泛使用的控制图需要对过程变量进行正态假设,因此对偶尔出现的异常值非常敏感。本文提出了一种中位图作为此类情况的更好选择,因为该图的界限受异常值的影响较小。这样避免了不必要的限制修订。当先验知识指出异常值的发生仅与常见原因有关时,特别推荐使用该图表。使用有关变换,分布和阶数统计的相关统计理论讨论中位数图的构造。

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