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Control charts for health care monitoring under intermittent Out-of-Control behavior
 

Summary: 1
Control charts for health care monitoring under intermittent
Out-of-Control behavior
Albers, Willem
University of Twente, Department of Applied Mathematics
P.O.Box 217
7500 AE Enschede, The Netherlands
w.albers@utwente.nl
1. Introduction and motivation
In health care monitoring we are typically dealing with attribute data for which the rate of failure
(malfunctioning equipment, surgical error, recurrence of cancer) p should be (very) small. For some review
material, see e.g. Sonesson and Bock(2003) and Shaha(1995). Suitable control charts in this situation can be
based on waiting times till r failures have occurred, with usually 1 r5. If such a negative binomially
distributed waiting time is too small, a signal is given. In Albers(2010) the optimal choice of r is derived and
estimation of the typically unknown p on the basis of a Phase I sample is discussed. Because of the small
false alarm rates (FAR's) involved, the estimation effects involved are not at all negligible and suitable
corrections are derived.
Quite often p will vary from patient to patient and such heterogeneity will lead to overdispersion.
Assuming a negative binomial distribution then no longer is correct and a nonparametric approach becomes
attractive. However, the small probabilities involved often ruin this possibility: Phase I samples will usually

  

Source: Al Hanbali, Ahmad - Department of Applied Mathematics, Universiteit Twente

 

Collections: Engineering