| Issue |
MATEC Web Conf.
Volume 94, 2017
The 4th International Conference on Computing and Solutions in Manufacturing Engineering 2016 – CoSME’16
|
|
|---|---|---|
| Article Number | 04005 | |
| Number of page(s) | 8 | |
| Section | Quality Engineering and Reliability | |
| DOI | https://doi.org/10.1051/matecconf/20179404005 | |
| Published online | 04 January 2017 | |
Method of using of the Box-Cox transformation at the application of the xbar and s chart
Transilvania University of Brasov, Department of Manufacturing Engineering, Mihai Viteazu No.5, Brasov, Romania
* Corresponding author: eftimien@unitbv.ro
The application of the most statistical process control techniques is based on the assumption that the distribution of the measurements is normal. However, there are many situations in practice when the process data distribution is not normal. In certain cases, the Box-Cox transformation can be used for converting the process data distribution into a normal distribution. Considering these aspects, the paper presents a method of application for the xbar and s chart that can be used in the case when the measurements distribution is not normal. The proposed method consists of the following stages: the testing of normality of the process data, the application of the Box-Cox transformation and the testing of normality of the transformed data. In the case when the distribution of the transformed data is normal, they are used at the application of the xbar and s control chart.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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