### Abstract

Language | English |
---|---|

Title of host publication | Proceedings of the 3rd International Conference on Quantitative Sciences and Its Applications |

Publisher | AIP Publishing |

Pages | 940-947 |

Number of pages | 8 |

ISBN (Print) | 9780735412743 |

DOIs | |

Publication status | Published - 4 Dec 2014 |

### Publication series

Name | AIP Conference Proceedings |
---|---|

Publisher | AIP Publishing |

No. | 1 |

Volume | 1635 |

ISSN (Print) | 0094-243X |

ISSN (Electronic) | 1551-7616 |

### Fingerprint

### Keywords

- economic design
- economic statistical design
- interaction effect
- significance of input parameters
- synthetic chart

### Cite this

*Proceedings of the 3rd International Conference on Quantitative Sciences and Its Applications*(pp. 940-947). (AIP Conference Proceedings; Vol. 1635, No. 1). AIP Publishing. https://doi.org/10.1063/1.4903695

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*Proceedings of the 3rd International Conference on Quantitative Sciences and Its Applications.*AIP Conference Proceedings, no. 1, vol. 1635, AIP Publishing, pp. 940-947. https://doi.org/10.1063/1.4903695

**The sensitivity analysis of the economic and economic statistical designs of the synthetic X chart.** / Yeong, Wai Chung; Khoo, Michael Boon Chong; Chong, Jia Kit; Lim, Shun Jinn; Teoh, Wei Lin.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

TY - CHAP

T1 - The sensitivity analysis of the economic and economic statistical designs of the synthetic X chart

AU - Yeong, Wai Chung

AU - Khoo, Michael Boon Chong

AU - Chong, Jia Kit

AU - Lim, Shun Jinn

AU - Teoh, Wei Lin

PY - 2014/12/4

Y1 - 2014/12/4

N2 - The economic and economic statistical designs allow the practitioner to implement the control chart in an economically optimal manner. For the economic design, the optimal chart parameters are obtained to minimize the cost, while for the economic statistical design, additional constraints in terms of the average run length is imposed. However, these designs involve the estimation of quite a number of input parameters. Some of these input parameters are difficult to estimate accurately. Thus, a sensitivity analysis is required in order to identify which parameters need to be estimated accurately, and which requires just a rough estimation. This study focuses on the significance of 11 input parameters toward the optimal cost and average run lengths of the synthetic X chart. The significant input parameters are identified through a two-level fractional factorial design, which allows interaction effects to be identified. An analysis of variance is performed to obtain the P-values by using the Minitab software. The significant input parameters and interactions on the optimal cost and average run lengths are identified based on a 5% significance level. The results of this study show that the input parameters which are significant towards the economic design may not be significant for the economic statistical design, and vice versa. This study also shows that there are quite a number of significant interaction effects, which may mask the significance of the main effects.

AB - The economic and economic statistical designs allow the practitioner to implement the control chart in an economically optimal manner. For the economic design, the optimal chart parameters are obtained to minimize the cost, while for the economic statistical design, additional constraints in terms of the average run length is imposed. However, these designs involve the estimation of quite a number of input parameters. Some of these input parameters are difficult to estimate accurately. Thus, a sensitivity analysis is required in order to identify which parameters need to be estimated accurately, and which requires just a rough estimation. This study focuses on the significance of 11 input parameters toward the optimal cost and average run lengths of the synthetic X chart. The significant input parameters are identified through a two-level fractional factorial design, which allows interaction effects to be identified. An analysis of variance is performed to obtain the P-values by using the Minitab software. The significant input parameters and interactions on the optimal cost and average run lengths are identified based on a 5% significance level. The results of this study show that the input parameters which are significant towards the economic design may not be significant for the economic statistical design, and vice versa. This study also shows that there are quite a number of significant interaction effects, which may mask the significance of the main effects.

KW - economic design

KW - economic statistical design

KW - interaction effect

KW - significance of input parameters

KW - synthetic chart

U2 - 10.1063/1.4903695

DO - 10.1063/1.4903695

M3 - Chapter

SN - 9780735412743

T3 - AIP Conference Proceedings

SP - 940

EP - 947

BT - Proceedings of the 3rd International Conference on Quantitative Sciences and Its Applications

PB - AIP Publishing

ER -