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A non parametric approach to monitor simple linear profiles in phases I and II

Sayyad, A ; Sharif University of Technology | 2017

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  1. Type of Document: Article
  2. DOI: 10.1080/03610926.2015.1099668
  3. Publisher: Taylor and Francis Inc , 2017
  4. Abstract:
  5. In this paper, a non parametric approach is first proposed to monitor simple linear profiles with non normal error terms in Phase I and Phase II. In this approach, two control charts based on a transformation technique and decision on beliefs are designed in order to monitor the intercept and the slope, simultaneously. Then, some simulation experiments are performed in order to evaluate the performance of the proposed control charts in Phase II under both step and drift shifts in terms of out-of-control average run length (ARL1). Besides, the performance of the proposed control charts is compared to the ones of seven other existing schemes in the literature. Simulation results show that the proposed control charts outperform the other control charts in detecting both the small step and small drift shifts of intercept. However, they have a weaker performance compared to other control charts in detecting both small step and small drift shifts of the slope. At the end, a real example from an electronic industry is used to illustrate the implementation of the proposed method. © 2017 Taylor & Francis Group, LLC
  6. Keywords:
  7. Decision on beliefs ; Drift shifts ; Power transformation ; Simple linear profile ; Step shifts ; Control charts ; Flowcharting ; Graphic methods ; Mathematical transformations ; Robustness (control systems) ; Linear profiles ; Linear transformations
  8. Source: Communications in Statistics - Theory and Methods ; Volume 46, Issue 11 , 2017 , Pages 5203-5222 ; 03610926 (ISSN)
  9. URL: https://www.tandfonline.com/doi/abs/10.1080/03610926.2015.1099668?journalCode=lsta20