Industrial Engineering and Management Systems

Korean Institute of Industrial Engineers (대한산업공학회)
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Designing Statistical Test for Mean of Random Profiles

  • Bahri, Mehrab (Department of Industrial Engineering, Tehran Science and Research Branch, Islamic Azad University,) ;
  • Hadi-Vencheh, Abdollah (Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University)
  • Received : 2016.11.10
  • Accepted : 2016.12.13
  • Published : 2016.12.30
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Abstract

A random profile is the result of a process, the output of which is a function instead of a scalar or vector quantity. In the nature of these objects, two main dimensions of "functionality" and "randomness" can be recognized. Valuable researches have been conducted to present control charts for monitoring such processes in which a regression approach has been applied by focusing on "randomness" of profiles. Performing other statistical techniques such as hypothesis testing for different parameters, comparing parameters of two populations, ANOVA, DOE, etc. has been postponed thus far, because the "functional" nature of profiles is ignored. In this paper, first, some needed theorems are proven with an applied approach, so that be understandable for an engineer which is unfamiliar with advanced mathematical analysis. Then, as an application of that, a statistical test is designed for mean of continuous random profiles. Finally, using experimental operating characteristic curves obtained in computer simulation, it is demonstrated that the presented tests are properly able to recognize deviations in the null hypothesis.

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References

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