The effects of parameter estimation on minimizing the in-control average sample size for the double sampling X bar chart
The double sampling (DS) X bar chart, one of the most widely-used charting methods, is superior for detecting small and moderate shifts in the process mean. In a right skewed run length distribution, the median run length (MRL) provides a more credible representation of the central tendency than the...
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doaj-63dbe7525c6249298380c57a9e6a662e2020-11-25T00:51:49ZengStellenbosch UniversitySouth African Journal of Industrial Engineering1012-277X2224-78902013-11-01243586710.7166/24-3-555The effects of parameter estimation on minimizing the in-control average sample size for the double sampling X bar chartMichael B.C. Khoo0M.H. Lee1W.L. Teoh2J.Y. Liew,3S.Y. Teh4Universiti Sains MalaysiaSwinburne University of TechnologyUniversiti Tunku Abdul RahmanUniversiti Sains MalaysiaUniversiti Sains MalaysiaThe double sampling (DS) X bar chart, one of the most widely-used charting methods, is superior for detecting small and moderate shifts in the process mean. In a right skewed run length distribution, the median run length (MRL) provides a more credible representation of the central tendency than the average run length (ARL), as the mean is greater than the median. In this paper, therefore, MRL is used as the performance criterion instead of the traditional ARL. Generally, the performance of the DS X bar chart is investigated under the assumption of known process parameters. In practice, these parameters are usually estimated from an in-control reference Phase-I dataset. Since the performance of the DS X bar chart is significantly affected by estimation errors, we study the effects of parameter estimation on the MRL-based DS X bar chart when the in-control average sample size is minimised. This study reveals that more than 80 samples are required for the MRL-based DS X bar chart with estimated parameters to perform more favourably than the corresponding chart with known parameters.http://sajie.journals.ac.za/pub/article/view/555double samplingin-control average sample sizemedian run lengthparameter estimation |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Michael B.C. Khoo M.H. Lee W.L. Teoh J.Y. Liew, S.Y. Teh |
spellingShingle |
Michael B.C. Khoo M.H. Lee W.L. Teoh J.Y. Liew, S.Y. Teh The effects of parameter estimation on minimizing the in-control average sample size for the double sampling X bar chart South African Journal of Industrial Engineering double sampling in-control average sample size median run length parameter estimation |
author_facet |
Michael B.C. Khoo M.H. Lee W.L. Teoh J.Y. Liew, S.Y. Teh |
author_sort |
Michael B.C. Khoo |
title |
The effects of parameter estimation on minimizing the in-control average sample size for the double sampling X bar chart |
title_short |
The effects of parameter estimation on minimizing the in-control average sample size for the double sampling X bar chart |
title_full |
The effects of parameter estimation on minimizing the in-control average sample size for the double sampling X bar chart |
title_fullStr |
The effects of parameter estimation on minimizing the in-control average sample size for the double sampling X bar chart |
title_full_unstemmed |
The effects of parameter estimation on minimizing the in-control average sample size for the double sampling X bar chart |
title_sort |
effects of parameter estimation on minimizing the in-control average sample size for the double sampling x bar chart |
publisher |
Stellenbosch University |
series |
South African Journal of Industrial Engineering |
issn |
1012-277X 2224-7890 |
publishDate |
2013-11-01 |
description |
The double sampling (DS) X bar chart, one of the most widely-used charting methods, is superior for detecting small and moderate shifts in the process mean. In a right skewed run length distribution, the median run length (MRL) provides a more credible representation of the central tendency than the average run length (ARL), as the mean is greater than the median. In this paper, therefore, MRL is used as the performance criterion instead of the traditional ARL. Generally, the performance of the DS X bar chart is investigated under the assumption of known process parameters. In practice, these parameters are usually estimated from an in-control reference Phase-I dataset. Since the performance of the DS X bar chart is significantly affected by estimation errors, we study the effects of parameter estimation on the MRL-based DS X bar chart when the in-control average sample size is minimised. This study reveals that more than 80 samples are required for the MRL-based DS X bar chart with estimated parameters to perform more favourably than the corresponding chart with known parameters. |
topic |
double sampling in-control average sample size median run length parameter estimation |
url |
http://sajie.journals.ac.za/pub/article/view/555 |
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