A transformation technique to estimate the process capability index for non-normal processes

Hosseinifard, S, Abbasi, B, Ahmad, S and Abdollahian, M 2009, 'A transformation technique to estimate the process capability index for non-normal processes', International Journal of Advanced Manufacturing Technology, vol. 40, no. 05Jun, pp. 512-517.


Document type: Journal Article
Collection: Journal Articles

Title A transformation technique to estimate the process capability index for non-normal processes
Author(s) Hosseinifard, S
Abbasi, B
Ahmad, S
Abdollahian, M
Year 2009
Journal name International Journal of Advanced Manufacturing Technology
Volume number 40
Issue number 05Jun
Start page 512
End page 517
Total pages 6
Publisher Springer London Ltd
Abstract Estimating the process capability index (PCI) for non-normal processes has been discussed by many researches. There are two basic approaches to estimating the PCI for non-normal processes. The first commonly used approach is to transform the non-normal data into normal data using transformation techniques and then use a conventional normal method to estimate the PCI for transformed data. This is a straightforward approach and is easy to deploy. The alternate approach is to use non-normal percentiles to calculate the PCI. The latter approach is not easy to implement and a deviation in estimating the distribution of the process may affect the efficacy of the estimated PCI. The aim of this paper is to estimate the PCI for non-normal processes using a transformation technique called root transformation. The efficacy of the proposed technique is assessed by conducting a simulation study using gamma, Weibull, and beta distributions. The root transformation technique is used to estimate the PCI for each set of simulated data. These results are then compared with the PCI obtained using exact percentiles and the Box-Cox method. Finally, a case study based on real-world data is presented.
Subject Operations Research
Keyword(s) Box-Cox transformation and quintile-based capability indices
Non-normal process
Process capability index
Root transformation
DOI - identifier 10.1007/s00170-008-1376-x
Copyright notice © 2008 Springer-Verlag London Limited.
ISSN 0268-3768
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