Percentile‐based control chart design with an application to Shewhart X̅ and S2 control charts. (9th October 2018)

• Record Type: Journal Article
• Authors: Faraz, Alireza; Saniga, Erwin; Montgomery, Douglas
• Is Part Of: Quality and reliability engineering international. Volume 35:Number 1(2019)
• Page Start: 116
• Page End: 126
• Publication Date: 2018-10-09
• Subjects: average run length -- control chart -- run length -- statistical design -- statistical process control; Reliability (Engineering) -- Periodicals; Quality control -- Periodicals; High technology -- Periodicals; 620.00452
• DOI: 10.1002/qre.2384
• Languages: English
• ISSNs: 0748-8017

Abstract

Abstract: We present a method to design control charts such that in‐control and out‐of‐control run lengths are guaranteed with prespecified probabilities. We call this method the percentile‐based approach to control chart design. This method is an improvement over the classical and popular statistical design approach employing constraints on in‐control and out‐of‐control average run lengths since we can ensure with prespecified probability that the actual in‐control run length exceeds a desired magnitude. Similarly, we can ensure that the out‐of‐control run length is less than a desired magnitude with prespecified probability. Some numerical examples illustrate the efficacy of this design method.