Statistical process control using run sums

Thomas R. Willemain, George Runger

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We develop a novel and effective way to monitor quality using the large volumes of positively autocorrelated data produced by high-frequency sampling of a process. We regard the process as a sequence of runs above and below the mean. The sums of the observations in these runs behave as independent random variables suitable for charting. Using simulated data, we show that the average run length performance of charts based on run sums compares favorably to that of alternative charts based on ARMA residuals, while avoiding the need for ARMA modeling. Furthermore, we obtained the same relative performance results for iid data. Thus, run sum charts provide a powerful and comprehensive method for SPC in data-rich environments.

Original languageEnglish (US)
Pages (from-to)361-378
Number of pages18
JournalJournal of Statistical Computation and Simulation
Issue number4
StatePublished - Jan 1 1998


  • ARMA models
  • Autocorrelation
  • Level crossing
  • Monte Carlo methods
  • Run sums
  • Shewhart chart
  • Statistical process control

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Statistics, Probability and Uncertainty
  • Applied Mathematics


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