THE UTILISATION OF SPECIAL CAUSE CONTROL CHARTS IN THE PRESENCE OF AUTOCORRELATED DATA

Sermin Elevli

THE UTILISATION OF SPECIAL CAUSE CONTROL CHARTS IN THE PRESENCE OF AUTOCORRELATED DATA

Abstract

The basic assumption of traditional quality control charts is that data taken from the process are independent and identically distributed. However, the independence assumption is often not valid in practice as autocorrelation amongst the data becomes an inherent characteristic in many processes. Since any false judgment about process stability causes unnecessary interventions to process, it is important to investigate the independence assumption firstly and then to use the suitable control chart type. If autocorrelation is recognized in data, appropriate time series model can be used to model the correlative structure and then control charts can be applied to the independent and identically distributed stream of the residuals. This kind of control charts are called as Special Cause Control (SCC) Charts. In this study, SCC chart was compared with the outcomes of Individuals Control (IC) Chart. In the presence of autocorrelation, while IC chart gave a lot of false signals of special cause variation, SCC chart gave three signals of special cause variation.

Keywords

References

[1] Elevli S., Uzgören N. and Bingöl D., (2014). Special Cause Control Charts for Monitoring Oxidability of Drinking Water, International Congress Water, Waste and Energy Management, 16-18 July.
[2] Elevli, S., Uzgoren, N., Savas, M., (2009). Control Charts for Autocorrelated Colemanite Data. Journal of Scientific & Industrial Research. 68, 11-17.
[3] Kandananond K., (2014). Guidelines for Applying Statistical Quality Control Method to Monitor Autocorrelated Processes, Procedia Engineering, 69, 1449-1458.
[4] Karaoglan A.D. and Bayhan G. M., (2011). Performance Comparison of Residual Control Charts for Trend Stationary First Order Autoregressive Processes, Gazi University Journal of Science, 24(2), 329-339.
[5] Ma X., Zhang L., Hu J. and Palazoglu A., (2018). A model-free Shewhart Individuals Control Chart for Autocorrelated Data, 10th IFAC International Symposium on Advanced Control of Chemical Processes, Chine, July 25-27.
[6] Montgomery D.C., (2013). Statistical Quality Control, 7th Edition, John Wiley& Sons, Inc.
[7] Noskievicova D., (2009). Statistical Analysis of the Blast Furnace Process Output Parameter Using ARIMA Control Chart with Proposed Methodology of Control Limits Setting, Metalurgija, 48(4), 281-284.
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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Sermin Elevli This is me
0000-0002-7712-5536
Türkiye

Publication Date

June 1, 2021

Submission Date

January 16, 2019

Acceptance Date

March 4, 2020

Published in Issue

Year 2020 Volume: 38 Number: 2

IZ

https://izlik.org/JA27NP35UX

Cite

RIS / Bibtex

APA

Elevli, S. (2021). THE UTILISATION OF SPECIAL CAUSE CONTROL CHARTS IN THE PRESENCE OF AUTOCORRELATED DATA. Sigma Journal of Engineering and Natural Sciences, 38(2), 787-793. https://izlik.org/JA27NP35UX

AMA

1.Elevli S. THE UTILISATION OF SPECIAL CAUSE CONTROL CHARTS IN THE PRESENCE OF AUTOCORRELATED DATA. SIGMA. 2021;38(2):787-793. https://izlik.org/JA27NP35UX

Chicago

Elevli, Sermin. 2021. “THE UTILISATION OF SPECIAL CAUSE CONTROL CHARTS IN THE PRESENCE OF AUTOCORRELATED DATA”. Sigma Journal of Engineering and Natural Sciences 38 (2): 787-93. https://izlik.org/JA27NP35UX.

EndNote

Elevli S (June 1, 2021) THE UTILISATION OF SPECIAL CAUSE CONTROL CHARTS IN THE PRESENCE OF AUTOCORRELATED DATA. Sigma Journal of Engineering and Natural Sciences 38 2 787–793.

IEEE

[1]S. Elevli, “THE UTILISATION OF SPECIAL CAUSE CONTROL CHARTS IN THE PRESENCE OF AUTOCORRELATED DATA”, SIGMA, vol. 38, no. 2, pp. 787–793, June 2021, [Online]. Available: https://izlik.org/JA27NP35UX

ISNAD

Elevli, Sermin. “THE UTILISATION OF SPECIAL CAUSE CONTROL CHARTS IN THE PRESENCE OF AUTOCORRELATED DATA”. Sigma Journal of Engineering and Natural Sciences 38/2 (June 1, 2021): 787-793. https://izlik.org/JA27NP35UX.

JAMA

1.Elevli S. THE UTILISATION OF SPECIAL CAUSE CONTROL CHARTS IN THE PRESENCE OF AUTOCORRELATED DATA. SIGMA. 2021;38:787–793.

MLA

Elevli, Sermin. “THE UTILISATION OF SPECIAL CAUSE CONTROL CHARTS IN THE PRESENCE OF AUTOCORRELATED DATA”. Sigma Journal of Engineering and Natural Sciences, vol. 38, no. 2, June 2021, pp. 787-93, https://izlik.org/JA27NP35UX.

Vancouver

1.Sermin Elevli. THE UTILISATION OF SPECIAL CAUSE CONTROL CHARTS IN THE PRESENCE OF AUTOCORRELATED DATA. SIGMA [Internet]. 2021 Jun. 1;38(2):787-93. Available from: https://izlik.org/JA27NP35UX