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A poisson-based prediction model and warning system for MRSA daily burden
Rocco J Perla1, Bradford D Allen
1Institute for Healthcare Improvement, 20 University Road, 7th Floor, Cambridge, MA 02138, USA. rperla@IHI.org
Summary
The daily number of methicillin-resistant Staphylococcus aureus (MRSA) isolates in hospitals follows a Poisson distribution. A Poisson control table can quickly identify unusual increases in MRSA cases, potentially signaling outbreaks.
Area of Science:
- Infectious Disease Epidemiology
- Statistical Modeling in Healthcare
- Public Health Surveillance
Background:
- Methicillin-resistant Staphylococcus aureus (MRSA) poses a significant threat in healthcare settings.
- Effective surveillance is crucial for early detection of potential MRSA outbreaks.
- Traditional methods may not always provide rapid identification of increased MRSA incidence.
Purpose of the Study:
- To demonstrate that daily MRSA isolate counts in a community hospital follow a Poisson distribution.
- To validate the use of a one-sided Poisson control table for rapid detection of elevated MRSA cases.
- To provide a tool for early warning of potential MRSA outbreaks.
Main Methods:
- Retrospective analysis of 934 MRSA isolates collected over three years (2005-2007).
- Comparison of observed MRSA frequencies with Poisson frequencies using chi-square goodness-of-fit tests.
- Development and presentation of a one-tailed Poisson control table (mean + 2 sigma).
Main Results:
- Goodness-of-fit tests confirmed close agreement between actual MRSA isolate counts and Poisson frequencies for all three years.
- Statistical analysis (p > 0.05) supported the Poisson distribution model for daily MRSA isolates.
- A regression equation was used to predict future trends.
Conclusions:
- The Poisson probability model is theoretically and empirically supported for daily MRSA isolate counts.
- The Poisson control table is an effective and efficient tool for identifying unusual increases in MRSA isolates.
- Findings suggest generalizability to other healthcare settings for MRSA surveillance.
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