The coefficient of variation chart with measurement error
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 conclusi...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Published: |
Taylor & Francis
2017
|
| Subjects: |
| _version_ | 1825721201441374208 |
|---|---|
| author | Yeong, W.C. Khoo, M.B.C. Lim, S.L. Teoh, W.L. |
| author_facet | Yeong, W.C. Khoo, M.B.C. Lim, S.L. Teoh, W.L. |
| author_sort | Yeong, W.C. |
| collection | UM |
| description | 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. |
| first_indexed | 2024-03-06T05:46:47Z |
| format | Article |
| id | um.eprints-18936 |
| institution | Universiti Malaya |
| last_indexed | 2024-03-06T05:46:47Z |
| publishDate | 2017 |
| publisher | Taylor & Francis |
| record_format | dspace |
| spelling | um.eprints-189362018-07-30T06:56:00Z http://eprints.um.edu.my/18936/ The coefficient of variation chart with measurement error Yeong, W.C. Khoo, M.B.C. Lim, S.L. Teoh, W.L. Business Q Science (General) QA Mathematics QC Physics 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. Taylor & Francis 2017 Article PeerReviewed Yeong, W.C. and Khoo, M.B.C. and Lim, S.L. and Teoh, W.L. (2017) The coefficient of variation chart with measurement error. Quality Technology & Quantitative Management, 14 (4). pp. 353-377. ISSN 1684-3703, DOI https://doi.org/10.1080/16843703.2017.1304043 <https://doi.org/10.1080/16843703.2017.1304043>. http://dx.doi.org/10.1080/16843703.2017.1304043 doi:10.1080/16843703.2017.1304043 |
| spellingShingle | Business Q Science (General) QA Mathematics QC Physics Yeong, W.C. Khoo, M.B.C. Lim, S.L. Teoh, W.L. The coefficient of variation chart with measurement error |
| title | The coefficient of variation chart with measurement error |
| title_full | The coefficient of variation chart with measurement error |
| title_fullStr | The coefficient of variation chart with measurement error |
| title_full_unstemmed | The coefficient of variation chart with measurement error |
| title_short | The coefficient of variation chart with measurement error |
| title_sort | coefficient of variation chart with measurement error |
| topic | Business Q Science (General) QA Mathematics QC Physics |
| work_keys_str_mv | AT yeongwc thecoefficientofvariationchartwithmeasurementerror AT khoombc thecoefficientofvariationchartwithmeasurementerror AT limsl thecoefficientofvariationchartwithmeasurementerror AT teohwl thecoefficientofvariationchartwithmeasurementerror AT yeongwc coefficientofvariationchartwithmeasurementerror AT khoombc coefficientofvariationchartwithmeasurementerror AT limsl coefficientofvariationchartwithmeasurementerror AT teohwl coefficientofvariationchartwithmeasurementerror |