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Activity Number:
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113
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Type:
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Contributed
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Date/Time:
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Monday, July 30, 2007 : 8:30 AM to 10:20 AM
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Sponsor:
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Section on Statistics in Epidemiology
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| Abstract - #308431 |
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Title:
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The Relationship Between the Recurrence Interval and Time-to-Signal Properties of Surveillance Schemes
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Author(s):
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Shannon Fraker*+ and William H. Woodall and Shabnam Mousavi
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Companies:
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Virginia Polytechnic Institute and State University and Virginia Polytechnic Institute and State University and The Pennsylvania State University
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Address:
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362 Old Cedarfield Drive, Blacksburg, VA, 24060,
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Keywords:
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Average time-to-signal ; Average time-between-signals ; Average signaling event length ; Control charts ; Recurrence Interval ; Scan statistics
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Abstract:
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The recurrence interval is defined to be the number of time periods for which the expected number of false alarms in a monitoring process is one. It is typically used in public health surveillance as compared to time-to-signal measures which are used in industrial statistical process control. We compare the recurrence interval and measures based on the time-to-signal properties for the temporal monitoring case using scan statistics, several control charts and Markov dependent signaling processes. The in-control average time-between-signals and the in-control average signaling event length are introduced as performance measures that are useful when a monitoring process is not reset to its initial state after a signal. We show that the recurrence interval is limited in its applicability and often fails to summarize important information about the performance of the monitoring process.
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