Statistical Power Function of Average Control Charts for Non-Normal Data

Authors

  • Singh JR School of Studies in Statistics, Vikram University, Ujjain, India
  • Mishra U School of Studies in Statistics, Vikram University, Ujjain, India

DOI:

https://doi.org/10.26438/ijcse/v6i8.899901

Keywords:

Average Control Chart, Power Function, Non-Normal distribution

Abstract

A mathematical investigation has been made to examine in what way the power function of the usual control chart for mean based on the assumption of normality is affected when the characteristics of an item possesses a non-normal distribution specified by the first four terms of an Edgeworth series. Power functions for known standard deviation have been considered and expressions giving corrections due to parental skewness and kurtosis have been obtained in addition to the normal theory expression

References

[1] Chou, C.Y., Chen, C.H. and Liu, H.R. (2005). Acceptance Control Chart for Non-normal Data, Journal of Applied Statistics, 32(1), 25-36.

[2] Chou, C.Y., Chen, C.H., Liu, H.R. and Wang, P.H. (2000). Statistically Minimum-loss Design of Averages Control Charts for Non-normal Data, Proc. Natl. Sci. Counc. ROC(A), 24(6), 472-479.

[3] Doclos, E., Pillet, M. and Avrillon, L. (2005). The L-Chart for Non-Normal Process, Quality Technology & Quantitative Management, 2(1), 77-90.

[4] Haynes, M., Mengersen, K. and Rippon, P. (2008). Generalized Control Charts for Non-Normal Data Using g-and-k Distribution, Communication in Statistics- Simulation and Computation, 37, 1881-1903.

[5] Singh, J.R. and Mishra, U. (2017). Power of Control Chart for Singly Truncated Binomial Distribution under Inspection Error, Global and Stochastic Analysis, Special Issue: 25th International Conference of Forum for Interdisciplinary Mathematics.

[6] Yourstone, S.A. and Zimmer, W.J. (1992). Non-Normality and the design of control charts for averages, Decision Sciences, 23, 1099-1113.

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Published

2025-11-15
CITATION
DOI: 10.26438/ijcse/v6i8.899901
Published: 2025-11-15

How to Cite

[1]
J. Singh and U. Mishra, “Statistical Power Function of Average Control Charts for Non-Normal Data”, Int. J. Comp. Sci. Eng., vol. 6, no. 8, pp. 899–901, Nov. 2025.

Issue

Vol. 6 No. 8 (2018): IJCSE August Edition

Section

Research Article

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