Monitoring Intervals between Rare Events: A Cumulative Score Procedure Compared with Rina Chen’s Sets Technique

Summary

A cumulative score procedure (cuscore) is compared with Rina Chen’s sets technique. Cumulative score procedures make a faster detection of subtle epidemics of rare diseases possible. Besides, the implementation of this new sequential technique is very simple. Therefore, the use of the cuscore procedure instead of the sets technique is recommended.

Das Cuscore-Verfahren, eine neue sequentielle Methode, wird mit Rina Chens Gruppentechnik verglichen. Es ermöglicht eine schnellere Entdeckung geringer Zunahmeraten seltener Krankheiten. Außerdem ist es leicht zu implementieren. Deshalb wird empfohlen, das Cuscore-Verfahren anstelle der Gruppentechnik zu verwenden.

Key-Words

Monitoring System - Cumulative Score Procedure - Sets Technique - Rare Diseases - Birth Defects

Schlüssel-Wörter

Überwachungssystem - Cuscore-Verfahren - Gruppentechnik - seltene Krankheiten - Geburtsfehler

• REFERENCES

• 1 Anscombe F. J, Page E. S. Sequential tests for binomial and exponential populations. Biometrika 1954; 41: 252-253.
• 2 Bissell A. F. The performance of control charts and cusums under linear trend. Appl. Statist 1984; 33: 145-151.
• 3 Brook D, Evans D. A. An approach to the probability distribution of cusum run length. Biometrika 1972; 59: 539-549.
• 4 Chen R. A surveillance system for congenital malformations. J. Amer. stat. Ass 1978; 73: 323-327.
• 5 Chen R. Statistical techniques in birth defects surveillance systems. In Kling-berg M. A. (Edit.) Contributions to Epidemiology and Biostatistics. Basel: Karger; 1979: 184-189.
• 6 Chen R, McDowall M, Terzian E, Weatherall J. A. C. Eurocat Guide to Monitoring Methods for Malformation Registries, EEC Concerted Action, Project Eurocat. Bruxelles: 1983
• 7 Chen R. Revised values for the parameters of the sets technique for monitoring the incidence rate of a rare disease. Meth. Inform. Med 1986; 25: 47-49.
• 8 Hasford J, Selbmann H. K. Mißbildungsregister – Möglichkeiten und Grenzen. Institut für Medizinische Informationsverarbeitung, Statistik und Biomathematik der Ludwig-Maximilians-Universität München. 1982
• 9 Hill G. B, Spicer C. C, Weatherall J. A. C. The computer surveillance of congenital malformations. Brit. med. Bull 1968; 24: 215-218.
• 10 Kennett R, Pollak M. On sequential detection of a shift in the probability of a rare event. J. Amer. stat. Ass 1983; 78: 389-395.
• 11 Khan R. A. Wald’s approximations to the average run length in cusum procedures. J. Statist. Plann. Infer 1978; 2: 63-77.
• 12 Lipschutz S. Wahrscheinlichkeitsrechnung. (engl.: Theory and Problems of Probability). Hamburg: McGraw-Hill; 1980: S126-151.
• 13 Lucas J. M, Crosier R. B. Robust cusum: A robustness study for cusum quality control schemes. Comm. Statist 1982; A11: 2669-2687.
• 14 Lucas J. M, Crosier R. B. Fast initial response for cusum quality control schemes: Give your cusum a head start. Technometrics 1982; 24: 199-205.
• 15 Munford A. G. A control chart based on cumulative scores. Appl. Statist 1980; 29: 252-258.
• 16 Ncube M. M, Woodall W. H. A combined Shewhart-cumulative score quality control chart. Appl. Statist 1984; 33: 259-265.
• 17 Page E. S. Continuous inspection schemes. Biometrika 1954; 41: 100-114.
• 18 Page E. S. Control charts with warning lines. Biometrika 1955; 42: 243-254.
• 19 Wald A. Sequential Analysis. New York: Wiley; 1947
• 20 Weatherall J. A. C, Haskey J. C. Surveillance of malformations. Brit. med. Bull 1976; 32: 39-44.
• 21 Wolter C. Frühwarnsysteme zur Überwachung von Mißbildungsinzidenzen. Med. Diss., München. 1987