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Control chart to monitor circular data
Quality and Reliability Engineering International ( IF 2.3 ) Pub Date : 2020-10-13 , DOI: 10.1002/qre.2776
Luiz M. A. Lima–Filho 1 , Fábio M. Bayer 2 , Augusto M. da Silva 2
Affiliation  

This paper proposes a new Shewhart‐type control chart for circular or directional data. This type of data is found in several fields and applications, such as wind direction, the arrival time of a patient in a hospital, and the route of animals. The proposal is based on the Jones–Pewsey distribution, which is a very flexible three‐parameter distribution for modeling processes that can be represented as points on the circumference of the unit circle. We conduct an extensive Monte Carlo simulation study to evaluate and compare the performance of the proposed control chart with some competitors considering individual measurements and the mean direction (nonindividual observations). The results show that the Jones–Pewsey control chart outperforms the competitors in terms of run length distribution analysis. Finally, we present and discuss two applications based on actual datasets to show the applicability of the proposed control chart.

中文翻译:

控制图可监控循环数据

本文针对圆形或方向性数据提出了一种新的Shewhart型控制图。此类数据可在多个领域和应用中找到,例如风向,患者到医院的到达时间以及动物的路线。该建议基于Jones-Pewsey分布,该分布是用于建模过程的非常灵活的三参数分布,可以表示为单位圆的圆周上的点。我们进行了广泛的蒙特卡洛模拟研究,以评估和比较提议的控制图的性能与一些考虑单个测量值和平均方向(非单个观察值)的竞争者。结果表明,Jones–Pewsey控制图在游程长度分布分析方面优于竞争对手。最后,
更新日期:2020-10-13
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