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A control chart to monitor the process mean based on inspecting attributes using control limits of the traditional X-bar chart
Journal of Statistical Computation and Simulation ( IF 1.1 ) Pub Date : 2020-03-27 , DOI: 10.1080/00949655.2020.1741588
R. C. Quinino 1 , L. L. Ho 2 , F. R. B. Cruz 1 , L. F. Bessegato 3
Affiliation  

ABSTRACT This paper proposes a new control chart, denoted by , for evaluating the stability of a process mean, which is based on attribute inspection. In the control chart, the mean of the quality characteristic of interest is controlled by a go-no-go gauge device that generates five categorizations. In equally-spaced times, samples of n items are collected, their categories are determined, and random values are generated according to a truncated normal distribution that corresponds to their categories. With these random values, the averages are estimated and the control charts are built. Extensive computational experiments shown that the newly introduced control charts perform similarly to the usual control chart in terms of average run length, provided that the sample sizes are raised by approximately three additional sample units. Because the control charts use attributes, they can be considered a viable alternative to the traditional control chart.

中文翻译:

基于使用传统 X 条形图的控制限检查属性来监控过程均值的控制图

摘要 本文提出了一种新的控制图,用 表示,用于评估过程均值的稳定性,该控制图基于属性检查。在控制图中,感兴趣的质量特征的平均值由生成五个分类的 go-no-go 仪表设备控制。在等距时间中,收集 n 个项目的样本,确定它们的类别,并根据与它们的类别对应的截断正态分布生成随机值。使用这些随机值,估计平均值并构建控制图。广泛的计算实验表明,新引入的控制图在平均运行长度方面与通常的控制图类似,前提是样本量增加了大约三个额外的样本单位。
更新日期:2020-03-27
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