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Erschienen in:
Use of Conditional False Alarm Metric in Statistical Process Monitoring Kapitel lesen Erstes Kapitel lesen

2021 | OriginalPaper | Buchkapitel

Design Considerations and Trade-offs for Shewhart Control Charts

verfasst von : Rob Goedhart

Erschienen in: Frontiers in Statistical Quality Control 13

Verlag: Springer International Publishing

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Abstract

When in-control parameters are unknown, they have to be estimated using a reference sample. The control chart performance in Phase II, which is generally measured in terms of the Average Run Length (ARL) or False Alarm Rate (FAR), will vary across practitioners due to the use of different reference samples in Phase I. This variation is especially large for small sample sizes. Although increasing the amount of Phase I data improves the control chart performance, others have shown that the amount required to achieve a desired in-control performance is often infeasibly high. This holds even when the actual distribution of the data is known. When the distribution of the data is unknown, it has to be estimated as well, along with its parameters. This yields even more uncertainty in control chart performance when parametric models are applied. With these issues in mind, choices have to be made in order to control the performance of control charts. We discuss several of these choices and their corresponding implications.

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Vorheriges Kapitel Use of Conditional False Alarm Metric in Statistical Process Monitoring
Nächstes Kapitel On the Calculation of the ARL for Beta EWMA Control Charts
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Metadaten
Titel
Design Considerations and Trade-offs for Shewhart Control Charts
verfasst von
Rob Goedhart
Copyright-Jahr
2021
Buch
Frontiers in Statistical Quality Control 13

Print ISBN: 978-3-030-67855-5

Electronic ISBN: 978-3-030-67856-2

Copyright-Jahr: 2021

DOI
https://doi.org/10.1007/978-3-030-67856-2_2