A review and comparison of control charts for ordinal samples

Ottenstreuer S., Weiβ C. H., TESTİK M. C.

Journal of Quality Technology, vol.55, no.4, pp.422-441, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 4
  • Publication Date: 2023
  • Doi Number: 10.1080/00224065.2023.2170839
  • Journal Name: Journal of Quality Technology
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Aerospace Database, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Communication Abstracts, Computer & Applied Sciences, Metadex, DIALNET, Civil Engineering Abstracts
  • Page Numbers: pp.422-441
  • Keywords: attributes control charts, average run length, ordinal data, statistical process control
  • Hacettepe University Affiliated: Yes


Qualitative, more specifically, ordinal data generating processes are common in real-world process control implementations. In this study, a survey of control charts for the sample-based monitoring of independent and identically distributed ordinal data is provided together with critical comparisons of the control statistics, for memory-less Shewhart-type and for memory-utilizing exponentially weighted moving average (EWMA) and cumulative-sum types of control charts. New results and proposals are also provided for process monitoring. Using some real-world quality scenarios from the literature, a simulation study for performance comparisons is conducted, covering sixteen different types of control chart. It is shown that demerit-type charts used in combination with EWMA smoothing generally perform better than the other charts, which may rely on quite sophisticated derivations. A real-world data example for monitoring flashes in electric toothbrush manufacturing is discussed to illustrate the application and interpretation of the control charts in the study.