The Simulated Shewhart Control Chart for Monitoring theVariance Components

碩士 === 淡江大學 === 統計學系碩士班 === 96 === In many manufacturing processes, the overall process variation can be decomposed into relevant components of variation. If the associated special causes of respective variance components can be identified, it is more effective and appropriate to monitor these compo...

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Bibliographic Details
Main Authors: Yi-Wei Hsieh, 謝亦瑋
Other Authors: Tzong-Ru Tsai
Format: Others
Language:en_US
Published: 2008
Online Access:http://ndltd.ncl.edu.tw/handle/65089725300483147135
Description
Summary:碩士 === 淡江大學 === 統計學系碩士班 === 96 === In many manufacturing processes, the overall process variation can be decomposed into relevant components of variation. If the associated special causes of respective variance components can be identified, it is more effective and appropriate to monitor these components with separate control chart instead of monitoring the overall variance with single control chart. This thesis develops Shewhart control charts for monitoring the variance components under the random effects model with single- factor design based on a numerical method. A numerical study is conducted for the comparison of performances based on the proposed method with the other existing methods in the literature. The numerical results indicate that the proposed method is more sensitive to detect the changes of variance components in process. Moreover, the proposed method is illustrated with real manufacturing data.