A direct procedure for monitoring the coefficient of variation using a variable sample size scheme
A variable sample size (VSS) scheme directly monitoring the coefficient of variation (CV), instead of monitoring the transformed statistics, is proposed. Optimal chart parameters are computed based on two criteria: (i) minimizing the out-of-control ARL (ARL1) and (ii) minimizing the out-of-control A...
| Main Authors: | , , , |
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| Format: | Article |
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Marcel Dekker (now owned by Taylor & Francis)
2017
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| author | Yeong, W.C. Khoo, M.B.C. Lim, S.L. Lee, M.H. |
| author_facet | Yeong, W.C. Khoo, M.B.C. Lim, S.L. Lee, M.H. |
| author_sort | Yeong, W.C. |
| collection | UM |
| description | A variable sample size (VSS) scheme directly monitoring the coefficient of variation (CV), instead of monitoring the transformed statistics, is proposed. Optimal chart parameters are computed based on two criteria: (i) minimizing the out-of-control ARL (ARL1) and (ii) minimizing the out-of-control ASS (ASS1). Then the performances are compared between these two criteria. The advantages of the proposed chart over the VSS chart based on the transformed statistics in the existing literature are: the former (i) provides an easier alternative as no transformation is involved and (ii) requires less number of observations to detect a shift when ASS1 is minimized. |
| first_indexed | 2024-03-06T05:46:47Z |
| format | Article |
| id | um.eprints-18938 |
| institution | Universiti Malaya |
| last_indexed | 2024-03-06T05:46:47Z |
| publishDate | 2017 |
| publisher | Marcel Dekker (now owned by Taylor & Francis) |
| record_format | dspace |
| spelling | um.eprints-189382018-07-30T07:25:19Z http://eprints.um.edu.my/18938/ A direct procedure for monitoring the coefficient of variation using a variable sample size scheme Yeong, W.C. Khoo, M.B.C. Lim, S.L. Lee, M.H. Business QA Mathematics A variable sample size (VSS) scheme directly monitoring the coefficient of variation (CV), instead of monitoring the transformed statistics, is proposed. Optimal chart parameters are computed based on two criteria: (i) minimizing the out-of-control ARL (ARL1) and (ii) minimizing the out-of-control ASS (ASS1). Then the performances are compared between these two criteria. The advantages of the proposed chart over the VSS chart based on the transformed statistics in the existing literature are: the former (i) provides an easier alternative as no transformation is involved and (ii) requires less number of observations to detect a shift when ASS1 is minimized. Marcel Dekker (now owned by Taylor & Francis) 2017 Article PeerReviewed Yeong, W.C. and Khoo, M.B.C. and Lim, S.L. and Lee, M.H. (2017) A direct procedure for monitoring the coefficient of variation using a variable sample size scheme. Communications in Statistics - Simulation and Computation, 46 (6). pp. 4210-4225. ISSN 0361-0918, DOI https://doi.org/10.1080/03610918.2015.1109659 <https://doi.org/10.1080/03610918.2015.1109659>. http://dx.doi.org/10.1080/03610918.2015.1109659 doi:10.1080/03610918.2015.1109659 |
| spellingShingle | Business QA Mathematics Yeong, W.C. Khoo, M.B.C. Lim, S.L. Lee, M.H. A direct procedure for monitoring the coefficient of variation using a variable sample size scheme |
| title | A direct procedure for monitoring the coefficient of variation using a variable sample size scheme |
| title_full | A direct procedure for monitoring the coefficient of variation using a variable sample size scheme |
| title_fullStr | A direct procedure for monitoring the coefficient of variation using a variable sample size scheme |
| title_full_unstemmed | A direct procedure for monitoring the coefficient of variation using a variable sample size scheme |
| title_short | A direct procedure for monitoring the coefficient of variation using a variable sample size scheme |
| title_sort | direct procedure for monitoring the coefficient of variation using a variable sample size scheme |
| topic | Business QA Mathematics |
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