Analysis of Non-Normal Process Capability Based on Rosenblatt Transformation System

Abstract:

Assuming that a process is subject to the normal distribution when calculating the process capability index traditionally. A main flaw lies in the process capability index is very sensitive to such changes if normal hypothesis was not satisfied. In order to obtain accurate process capability index of quality characteristics under this circumstance, this paper adopts Rosenblatt transformation to compare with Box-Cox transformation and Johnson transformation with type 6110 Connecting Rod Bush radius as an example, the results show that Rosenblatt transformation proposed performs better and implement is simple.

• Periodical: Advanced Materials Research (Volumes 482-484)
• Pages: 2238-2242
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.482-484.2238
• Online since: February 2012
• Authors: Ya Wen Hou, Bin Hui Wang
• Keywords: Box-Cox Transformation, Johnson Transformation, Non-Normal Distribution, Process Capability Index, Rosenblatt Transformation

References

[1] Johnson NL.: Biometrika, Vol. 36(1949), p.149

[2] Box GEP, Cox DR. : J Roy Stat Soc B, Vol. 26(1964), p.211

[3] Somerville S, Montgomery D. : Qual Eng, Vol. 19(1996), p.305

[4] Xingyuan Chen, Yeou-Koung Tung. :Structural Safety, Vol. 25(2003), p.423

[5] Burr IW. : Ann Math Stat, Vol. 13(1942), p.215

[6] Castagliola P. : Qual Eng, Vol. 8(1996), p.587

[7] Pei-Hsi Liu, Fei-Long Chen. : Int J Adv Manuf Technol, Vol. 27(2006), p.975

[8] S.Ahmad, M.Abdollahian, P.Zeephongsekul. : Austral.Mathematical Soc, Vol. 49(2008), p.642

[9] Clements JA. : Qual Prog, Vol. 22(1989), p.95

[10] Pern WL, Kotz S. : Qual Eng, Vol. 7(1994), p.139

[11] Lévy P. : Paris: Gauthier-Villars, 1937, p.71

[12] Rosenblatt M. : Ann Math Stat, Vol. 23(1952), p.470

[13] Zhou Qunyan, Tian Peng, Tian Zhiyou. : Systems Engineering, Vol. 22(2004), p.98, In Chinese