A comparison between the performances of double sampling X and variable sample size X charts
The double sampling (DS) X and variable sample size (VSS) X charts are very effective to detect small and moderate shifts in the process mean. Both charts are usually investigated under the assumption of known process parameters. However, the process parameters are commonly estimated from an in-c...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2014
|
| Online Access: | http://journalarticle.ukm.my/8604/1/jqma-10-2-paper2.pdf |
| _version_ | 1825726291938115584 |
|---|---|
| author | Teoh, W.L Liow, K.L. Michael C. Khoo, B. Yeong, W.C. Teh, S.Y. |
| author_facet | Teoh, W.L Liow, K.L. Michael C. Khoo, B. Yeong, W.C. Teh, S.Y. |
| author_sort | Teoh, W.L |
| collection | UKM |
| description | The double sampling (DS) X and variable sample size (VSS) X charts are very effective to
detect small and moderate shifts in the process mean. Both charts are usually investigated under
the assumption of known process parameters. However, the process parameters are commonly
estimated from an in-control Phase-I dataset because they are usually unknown in practice.
Therefore, both cases of known and estimated process parameters for the DS X and VSS X
charts are considered in this paper. It is well known that the run length distribution of a control
chart is highly skewed, especially when the process parameters are estimated and the process
is in-control or slightly out-of-control. Interpretation based solely on a specific performance
measure could be misleading. Thus, various performance measures need to be used to evaluate
the properties of the control charts. Generally, the design of a control chart with estimated
process parameters is proposed without comparing with other control charts. Accordingly, this
paper focuses mainly on the comparison of the average run length (ARL), standard deviation of
the run length (SDRL) and average sample size (ASS) between the DS X and VSS X charts
with known and estimated process parameters. The ARL and SDRL results indicate that the DS
X chart outperforms the VSS X chart for all ranges of shifts. However, the converse is true
in terms of the ASS. |
| first_indexed | 2024-03-06T04:08:41Z |
| format | Article |
| id | ukm.eprints-8604 |
| institution | Universiti Kebangsaan Malaysia |
| language | English |
| last_indexed | 2024-03-06T04:08:41Z |
| publishDate | 2014 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| record_format | dspace |
| spelling | ukm.eprints-86042016-12-14T06:47:41Z http://journalarticle.ukm.my/8604/ A comparison between the performances of double sampling X and variable sample size X charts Teoh, W.L Liow, K.L. Michael C. Khoo, B. Yeong, W.C. Teh, S.Y. The double sampling (DS) X and variable sample size (VSS) X charts are very effective to detect small and moderate shifts in the process mean. Both charts are usually investigated under the assumption of known process parameters. However, the process parameters are commonly estimated from an in-control Phase-I dataset because they are usually unknown in practice. Therefore, both cases of known and estimated process parameters for the DS X and VSS X charts are considered in this paper. It is well known that the run length distribution of a control chart is highly skewed, especially when the process parameters are estimated and the process is in-control or slightly out-of-control. Interpretation based solely on a specific performance measure could be misleading. Thus, various performance measures need to be used to evaluate the properties of the control charts. Generally, the design of a control chart with estimated process parameters is proposed without comparing with other control charts. Accordingly, this paper focuses mainly on the comparison of the average run length (ARL), standard deviation of the run length (SDRL) and average sample size (ASS) between the DS X and VSS X charts with known and estimated process parameters. The ARL and SDRL results indicate that the DS X chart outperforms the VSS X chart for all ranges of shifts. However, the converse is true in terms of the ASS. Penerbit Universiti Kebangsaan Malaysia 2014-12 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/8604/1/jqma-10-2-paper2.pdf Teoh, W.L and Liow, K.L. and Michael C. Khoo, B. and Yeong, W.C. and Teh, S.Y. (2014) A comparison between the performances of double sampling X and variable sample size X charts. Journal of Quality Measurement and Analysis, 10 (2). pp. 15-31. ISSN 1823-5670 http://www.ukm.my/jqma/jqma10_2a.html |
| spellingShingle | Teoh, W.L Liow, K.L. Michael C. Khoo, B. Yeong, W.C. Teh, S.Y. A comparison between the performances of double sampling X and variable sample size X charts |
| title | A comparison between the performances of double sampling X and variable sample size X charts |
| title_full | A comparison between the performances of double sampling X and variable sample size X charts |
| title_fullStr | A comparison between the performances of double sampling X and variable sample size X charts |
| title_full_unstemmed | A comparison between the performances of double sampling X and variable sample size X charts |
| title_short | A comparison between the performances of double sampling X and variable sample size X charts |
| title_sort | comparison between the performances of double sampling x and variable sample size x charts |
| url | http://journalarticle.ukm.my/8604/1/jqma-10-2-paper2.pdf |
| work_keys_str_mv | AT teohwl acomparisonbetweentheperformancesofdoublesamplingxandvariablesamplesizexcharts AT liowkl acomparisonbetweentheperformancesofdoublesamplingxandvariablesamplesizexcharts AT michaelckhoob acomparisonbetweentheperformancesofdoublesamplingxandvariablesamplesizexcharts AT yeongwc acomparisonbetweentheperformancesofdoublesamplingxandvariablesamplesizexcharts AT tehsy acomparisonbetweentheperformancesofdoublesamplingxandvariablesamplesizexcharts AT teohwl comparisonbetweentheperformancesofdoublesamplingxandvariablesamplesizexcharts AT liowkl comparisonbetweentheperformancesofdoublesamplingxandvariablesamplesizexcharts AT michaelckhoob comparisonbetweentheperformancesofdoublesamplingxandvariablesamplesizexcharts AT yeongwc comparisonbetweentheperformancesofdoublesamplingxandvariablesamplesizexcharts AT tehsy comparisonbetweentheperformancesofdoublesamplingxandvariablesamplesizexcharts |