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

Yıl 2020, Cilt: 38 Sayı: 2, 787 - 793, 01.06.2021

Öz

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.

Kaynakça

  • [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.
  • [8] Perzyk M. and Rodziewicz A., (2015). Application of Special Cause Control Charts to Green Sand Process, Archives of Foundry Engineering, 15 (4), 55-60.
  • [9] Russo S.L., Camargo M.E. and Fabris J.P., (2012). Applications of Control Charts ARIMA for Autocorrelated Data, Practical Concepts of Quality Control, Edited by Mohammad Saber Fallah Nezhad, pp. 31-53.
  • [10] Wang D.S., Yu Y.W., Wang S.H. and Cheng B.W., (2013). Statistical Process Control on Autocorrelated Process, 10th International Conference on Service Systems and Service Management, IEEE, 17-19 July, 81-84.
  • [11] Wardell D.G., Moskowitz H. and Plante R.D., (1992). Control Charts in the Presence of Data Correlation, Management Science, vol. 38, No. 8, pp. 1084-1105.
  • [12] Young T. M. and Winistorfer P.M., (2001). The Effects of Autocorrelation on Real-Time Statistical Process Control With Solutions for Forest Products Manufacturers, Forest Products Journal, 51 (11/12), 70-77.
Yıl 2020, Cilt: 38 Sayı: 2, 787 - 793, 01.06.2021

Öz

Kaynakça

  • [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.
  • [8] Perzyk M. and Rodziewicz A., (2015). Application of Special Cause Control Charts to Green Sand Process, Archives of Foundry Engineering, 15 (4), 55-60.
  • [9] Russo S.L., Camargo M.E. and Fabris J.P., (2012). Applications of Control Charts ARIMA for Autocorrelated Data, Practical Concepts of Quality Control, Edited by Mohammad Saber Fallah Nezhad, pp. 31-53.
  • [10] Wang D.S., Yu Y.W., Wang S.H. and Cheng B.W., (2013). Statistical Process Control on Autocorrelated Process, 10th International Conference on Service Systems and Service Management, IEEE, 17-19 July, 81-84.
  • [11] Wardell D.G., Moskowitz H. and Plante R.D., (1992). Control Charts in the Presence of Data Correlation, Management Science, vol. 38, No. 8, pp. 1084-1105.
  • [12] Young T. M. and Winistorfer P.M., (2001). The Effects of Autocorrelation on Real-Time Statistical Process Control With Solutions for Forest Products Manufacturers, Forest Products Journal, 51 (11/12), 70-77.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Research Articles
Yazarlar

Sermin Elevli Bu kişi benim 0000-0002-7712-5536

Yayımlanma Tarihi 1 Haziran 2021
Gönderilme Tarihi 16 Ocak 2019
Yayımlandığı Sayı Yıl 2020 Cilt: 38 Sayı: 2

Kaynak Göster

Vancouver Elevli S. THE UTILISATION OF SPECIAL CAUSE CONTROL CHARTS IN THE PRESENCE OF AUTOCORRELATED DATA. SIGMA. 2021;38(2):787-93.

IMPORTANT NOTE: JOURNAL SUBMISSION LINK https://eds.yildiz.edu.tr/sigma/