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15065 Control charts for health care monitoring under overdispersion
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Albers, W. (2009) Control charts for health care monitoring under overdispersion. Memorandum 1891, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850

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Abstract

An attractive way to control attribute data from high quality processes is to wait till r $\geq$ 1 failures have occurred. The choice of r in such negative binomial charts is dictated by how much the failure rate is supposed to change during Out-of-Control. However, these results have been derived for the case of homogeneous data. Especially in health care monitoring, (groups of) patients will often show large heterogeneity. In the present paper we will show how such overdispersion can be taken into account. In practice, typically neither the average failure rate, nor the overdispersion parameter(s), will be known. Hence we shall also derive and analyze the estimated version of the new chart.

Item Type:Internal Report (Memorandum)
Research Group:EWI-SP: Statistics and Probability
Research Program:CTIT-IE&ICT: Industrial Engineering and ICT
Uncontrolled Keywords:Statistical Process Control, high-quality processes, geometric charts, average run length, estimated parameters, heterogeneity
ID Code:15065
Deposited On:06 February 2009
More Information:statisticsmetis

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