| dc.contributor.advisor | 楊素芬 博士 | zh_TW |
| dc.contributor.advisor | Dr. Su-Fen Yang | en_US |
| dc.contributor.author (Authors) | 何漢葳 | zh_TW |
| dc.contributor.author (Authors) | Ho, Han-Wei | en_US |
| dc.creator (作者) | 何漢葳 | zh_TW |
| dc.creator (作者) | Ho, Han-Wei | en_US |
| dc.date (日期) | 2002 | en_US |
| dc.date.accessioned | 18-Sep-2009 19:08:54 (UTC+8) | - |
| dc.date.available | 18-Sep-2009 19:08:54 (UTC+8) | - |
| dc.date.issued (上傳時間) | 18-Sep-2009 19:08:54 (UTC+8) | - |
| dc.identifier (Other Identifiers) | G0090354015 | en_US |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/36659 | - |
| dc.description (描述) | 碩士 | zh_TW |
| dc.description (描述) | 國立政治大學 | zh_TW |
| dc.description (描述) | 統計研究所 | zh_TW |
| dc.description (描述) | 90354015 | zh_TW |
| dc.description (描述) | 91 | zh_TW |
| dc.description.abstract (摘要) | 無 | zh_TW |
| dc.description.abstract (摘要) | In this article, a two-step process is considered to investigate the effects of measurement errors on EWMA and cause-selecting EWMA control charts. At the end of current process, a pair of imprecise measurements of in-coming quality and out-going quality is randomly taken with individual units. The linear relationship between in-coming quality and out-going quality is assumed and four possible states of the process are defined with respective distributions of in-coming and out-going qualities derived. The EWMA control chart with measurement error is then constructed to monitor small-scale shift in mean for the previous process while the cause-selecting control chart, or EWMA control chart based on residuals, including measurement error, is proposed to diagnose the state of current process. Based on sensitivity analysis, the presence of imprecise measurement diminishes the power of both the EWMA and the proposed control charts and affects the detectability of process disturbances. Further, applications of proposed control charts are demonstrated through a numerical example to show some possible misuses of control charts. If the process mean shifts in a small scale when a single assignable cause occurs on each step, the proposed cause-selecting control chart is more sensitive than other control charts. The Hotelling T^2 control chart is also compared to illustrate the diagnostic advantage outweighed by proposed cause-selecting control chart. | en_US |
| dc.description.tableofcontents | 1 INTRODUCTION.................................................1 2 PROCESS DESCRIPTION..........................................6 2.1 Assumptions and Notations..................................6 2.2 The Relationships Between Xo and Yo........................8 3 DISTRIBUTIONS OF Xo AND Yo...................................9 3.1 The Previous and Current Processes Are Both In Control.....9 3.2 AC1 Occurs in the Previous Process But the Current Process Is in Control.................................................10 3.3 AC2 Occurs in the Current Process But the Previous Process Is In Control.................................................10 3.4 AC1 Occurs in the Previous Process and AC2 Occurs in the Current Process...............................................11 4 CONSTRUCTIONS OF CONTROL CHARTS.............................13 4.1 EWMA Control Chart for the Previous Process...............13 4.2 Cause-Selecting Control Chart for the Current Process.....14 5 ARL CALAULATION.............................................17 5.1 The Previous and Current processes Are Both In Control....18 5.2 AC1 Occurs in the Previous Process but the Current Process Is In Control.................................................18 5.3 AC2 Occurs in the Current Process but the Previous Process Is In Control.................................................19 5.4 AC1 Occurs in the Previous Process and AC2 Occurs in the Current Process...............................................19 6 SENSITIVITY ANALYSIS........................................20 7 A NUMERICAL EXAMPLE.........................................24 7.1 Control Procedures for the EWMA and Cause-Selecting Control Charts........................................................25 7.2 Comparisons with Other Univariate Control Charts..........27 7.2.1 Construction of control limits..........................28 7.2.2 Monitoring results......................................35 7.3 Comparisons withMultivariate Control Charts...............38 8 CONCLUSIONS.................................................42 APPENDIX......................................................43 REFERENCES....................................................55 | zh_TW |
| dc.language.iso | en_US | - |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#G0090354015 | en_US |
| dc.subject (關鍵詞) | Imprecise measurement | en_US |
| dc.subject (關鍵詞) | Dependent processes | en_US |
| dc.subject (關鍵詞) | EWMA control chart | en_US |
| dc.subject (關鍵詞) | Cause-selecting | en_US |
| dc.title (題名) | 考慮兩階段相依製程下量測誤差對指數加權移動平均管制圖之效應研究 | zh_TW |
| dc.title (題名) | Effects of Measurement Error on EWMA Control Charts for Two-Step Process | en_US |
| dc.type (資料類型) | thesis | en |
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