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The Performance of Variable Sample Size X ̄ Chart with Measurement Errors
Author(s) -
Hu XueLong,
Castagliola Philippe,
Sun Jinsheng,
Khoo Michael B.C.
Publication year - 2016
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.1807
Subject(s) - chart , covariate , statistics , control chart , observational error , x bar chart , sample size determination , \bar x and r chart , computer science , variable (mathematics) , shewhart individuals control chart , mathematics , control limits , ewma chart , process (computing) , mathematical analysis , operating system
The variable sample size (VSS)X ̄ chart has been investigated by several researchers under the assumption of no measurement error. However, in practice, measurement errors may exist in quality control applications. In this paper, the overall performance of the VSSX ̄ chart is investigated when measurement errors exist using a linearly covariate error model, and a methodology is proposed for choosing optimal parameters by considering measurement errors. It is shown that the overall performance of the VSSX ̄ chart is significantly affected by the presence of measurement errors. The effect of taking multiple measurements for each item in a subgroup on the performance of VSSX ̄ chart is also investigated in this paper. An example is provided to illustrate the application of the VSSX ̄ chart with measurement errors. Copyright © 2015 John Wiley & Sons, Ltd.