Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2764

Full Length Research Paper

ARL performance of residual control charts for trend AR(1) process: A case study on peroxide values of stored vegetable oil

  Aslan Deniz KARAOGLAN1* and Gunhan Mirac BAYHAN2        
  1Department of Industrial Engineering, Balikesir University, Cagis Campus, 10145, Balikesir-Turkey. 2Department of Industrial Engineering, Dokuz Eylul University, Tinaztepe Campus, 35160, Izmir-Turkey.
Email: [email protected]

  •  Accepted: 26 March 2012
  •  Published: 30 April 2012



For the purpose of process control, quality assurance engineers in a vegetable oil factory wonder the performance of the Shewhart, CUSUM, and EWMA residual control charts for peroxide values that show both serial autocorrelation between adjacent observations (autocorrelation) and upward linear trend. To deal with autocorrelated process data, a primary method is to apply these charts to the uncorrelated residuals of an appropriate time series model fitted to the data. In the relevant literature, although performances of the residual charts have been widely studied for autocorrelated processes, there exists no study that shows how these charts’ performances change by the addition of a particular type of trend in the autocorrelated data. In the present paper, average run length performances of these charts are computed for peroxide data from two batches, for which trend stationary first order autoregressive (trend AR(1) for short) model is a representative model.


Key words: Statistical process control, autocorrelation, peroxide value, vegetable oil, trend AR(1) model.