The coefficient of variation chart with measurement error. Issue 4 (2nd October 2017)

• Record Type: Journal Article
• Authors: Yeong, Wai Chung; Khoo, Michael Boon Chong; Lim, Sok Li; Teoh, Wei Lin
• Is Part Of: Quality technology & quantitative management. Volume 14:Issue 4(2017)
• Page Start: 353
• Page End: 377
• Publication Date: 2017-10-02
• Subjects: Average run length -- coefficient of variation chart -- linearly covariate error model -- measurement error -- multiple measurements; Quality control -- Periodicals; Quality control -- Statistical methods -- Periodicals; Industrial management -- Periodicals; Industrial management; Management -- Research -- Methodology -- Periodicals; Qualitative research -- Periodicals; Management; Quality control; Quality control -- Statistical methods; Periodicals; 658.00721
• DOI: 10.1080/16843703.2017.1304043
• Languages: English
• ISSNs: 1684-3703

Abstract

Abstract: This paper proposes one-sided coefficient of variation (CV) charts with a linearly covariate error model. The one-sided CV charts are the downward and upward CV charts, which detect decreasing and increasing shifts, respectively. Ignoring the presence of measurement error leads to erroneous conclusions regarding the average run length, especially for small number of measurements per item. However, when measurement error is not ignored in computing the control limits, the performance between the CV charts with and without measurement error is similar. It is recommended to adopt the methods proposed in this paper as a general procedure since in the absence of measurement error, the control limits can be set by letting the size of the measurement error to be zero, whereas traditional methods which assume no measurement error will result in dubious results in the presence of measurement error. Finally, the proposed chart is applied on an illustrative example.